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Generalization of the Bloch-Messiah-Zumino theoremFeb 11 2000It is shown how to construct a basis in which two arbitrary complex antisymmetric matrices C and C' acquire simultaneously canonical forms. The present construction is not restricted by any conditions on properties of the C^+C' matrix. Canonical bases ... More

Superdeformation: Perspectives and prospectsNov 12 1998We present a review of the mean-field approaches describing superdeformed states, which are currently used and/or being developed. As an example, we discuss in more details the properties of superdeformed A~60 nuclei, and present results of calculations ... More

Self-consistent methods in nuclear structure physicsJan 27 1998We present a very brief description of the Hartree-Fock method in nuclear structure physics, discuss the numerical methods used to solve the self-consistent equations, and analyze the precision and convergence properties of solutions. As an application ... More

Atomic Nucleus as a Laboratory for Fundamental ProcessesSep 20 2003Concluding remarks about the scientific contents of the XXVIII Mazurian Lakes Conference on Physics are presented.

Interactions, symmetry breaking, and effective fields from quarks to nuclei. (A primer in nuclear theory)Jan 22 2003An introduction to nuclear theory is given starting from the quantum chromodynamics foundations for quark and gluon fields, then discussing properties of pions and nucleons, interactions between nucleons, structure of the deuteron and light nuclei, and ... More

Structure of nuclei at extreme values of the isospinJan 14 1999Physics of nuclei at extreme values of the isospin is at the focus of present-day nuclear science. Experimentally, thanks to existing and emerging radioactive-ion-beam facilities, we are on the verge of invading the territory of extreme N/Z ratios in ... More

Current Developments in Nuclear Density Functional MethodsSep 05 2010Density functional theory (DFT) became a universal approach to compute ground-state and excited configurations of many-electron systems held together by an external one-body potential in condensed-matter, atomic, and molecular physics. At present, the ... More

Ab Initio Derivation of Model Energy Density FunctionalsJul 02 2015Jul 07 2015I propose a simple and manageable method that allows for deriving coupling constants of model energy density functionals (EDFs) directly from ab initio calculations performed for finite fermion systems. A proof-of-principle application allows for linking ... More

Tensor interactions in mean-field approachesApr 18 2006Basic properties of the nuclear tensor mean fields are reviewed, and their role in changing the shell structure and masses of nuclei is analyzed within the spherical Hartree-Fock-Bogolyubov approach.

Time-odd components in the mean field of rotating superdeformed nucleiFeb 10 1995Rotation-induced time-odd components in the nuclear mean field are analyzed using the Hartree-Fock cranking approach with effective interactions SIII, SkM*, and SkP. Identical dynamical moments ${{\cal J}^{(2)}}$ are obtained for pairs of superdeformed ... More

Time-odd components in the rotating mean field and identical bandsOct 04 1995A systematic construction of the energy-density functional within the local density approximation is presented. The Hartree-Fock equations corresponding to such a functional are solved in case of rotating superdeformed nuclei. The identical bands in $^{152}$Dy, ... More

Solution of the Skyrme-Hartree-Fock equations in the Cartesian deformed harmonic oscillator basis. (I) The methodNov 17 1996We describe a method of solving the nuclear Skyrme-Hartree-Fock problem by using a deformed Cartesian harmonic oscillator basis. The complete list of expressions required to calculate local densities, total energy, and self-consistent fields is presented, ... More

Solution of the Skyrme-Hartree-Fock equations in the Cartesian deformed harmonic oscillator basis. (II) The program HFODDNov 17 1996We describe the code HFODD which solves the nuclear Skyrme-Hartree-Fock problem by using the deformed Cartesian harmonic oscillator basis. The user has a possibility of choosing among various symmetries of the nuclear HF problem for rotating or non-rotating ... More

Isospin-invariant Skyrme energy-density-functional approach with axial symmetryMar 10 2014May 20 2014We develop the isospin-invariant Skyrme-EDF method by considering local densities in all possible isospin channels and proton-neutron (p-n) mixing terms as mandated by the isospin symmetry. The EDF employed has the most general form that depends quadratically ... More

Solution of the Skyrme-Hartree-Fock equations in the Cartesian deformed harmonic-oscillator basis. (III) HFODD (v1.75r): a new version of the programMar 01 2000We describe the new version (v1.75r) of the code HFODD which solves the nuclear Skyrme-Hartree-Fock problem by using the Cartesian deformed harmonic-oscillator basis. Three minor errors that went undetected in the previous version have been corrected. ... More

Nuclear time-reversal violation and the Schiff moment of 225RaMar 22 2005May 12 2005We present a comprehensive mean-field calculation of the Schiff moment of the nucleus 225Ra, the quantity which determines the static electric dipole moment of the corresponding atom if time-reversal (T) invariance is violated in the nucleus. The calculation ... More

Quadrupole Collective States in a Large Single-J ShellOct 21 1994We discuss the ability of the generator coordinate method (GCM) to select collective states in microscopic calculations. The model studied is a single-$j$ shell with hamiltonian containing the quadrupole-quadrupole interaction. Quadrupole collective excitations ... More

Hartree-Fock-Bogoliubov solution of the pairing Hamiltonian in finite nucleiJun 12 2012Jul 01 2012We present an overview of the Hartree-Fock-Bogoliubov (HFB) theory of nucleonic superfluidity for finite nuclei. After introducing basic concepts related to pairing correlations, we show how the correlated pairs are incorporated into the HFB wave function. ... More

Particle-drip lines from the Hartree-Fock-Bogoliubov theory with Skyrme interactionJul 22 1993We calculate positions of one- and two-particle, proton and neutron drip lines within the Hartree-Fock-Bogoliubov theory using Skyrme interaction. We also determine an approximate $r$-process path defined as a line where the neutron binding energy is ... More

Coordinate-space solution of the Skyrme-Hartree-Fock-Bogolyubov equations within spherical symmetry. The program HFBRAD (v1.0)Jan 03 2005We describe the first version (v1.00) of the code HFBRAD which solves the Skyrme-Hartree-Fock or Skyrme-Hartree-Fock-Bogolyubov equations in the coordinate representation within the spherical symmetry. A realistic representation of the quasiparticle wave ... More

Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (IV) HFODD (v2.07f): a new version of the programJan 06 2004We describe the new version (v2.07f) of the code HFODD which solves the nuclear Skyrme-Hartree-Fock or Skyrme-Hartree-Fock-Bogolyubov problem by using the Cartesian deformed harmonic-oscillator basis. In the new version, all symmetries can be broken, ... More

Convergence of density-matrix expansions for nuclear interactionsMar 12 2010We extend density-matrix expansions in nuclei to higher orders in derivatives of densities and test their convergence properties. The expansions allow for converting the interaction energies characteristic to finite- and short-range nuclear effective ... More

Critical frequency in nuclear chiral rotationNov 25 2002Within the cranked Skyrme-Hartree-Fock approach the self-consistent solutions have been obtained for planar and chiral rotational bands in 132La. It turns out that the chiral band cannot exist below some critical rotational frequency which in the present ... More

Search for the Skyrme-Hartree-Fock Solutions for Chiral Rotation in N=75 IsotonesOct 29 2005A search for the self-consistent solutions for the chiral rotational bands in the N=75 isotones, 130Cs, 132La, 134Pr and 136Pm is performed within the Skyrme-Hartree-Fock cranking approach using SKM* and SLy4 parametrizations. The dependence of the solutions ... More

Superdeformed bands in 32S and neighboring nuclei predicted within the Hartree-Fock methodJul 26 1999Superdeformed configurations in 32S, and in neighboring nuclei 33S, 31S, 33Cl, and 31P, are determined within the Hartree-Fock approach with the Skyrme interaction. Energies, angular momenta, quadrupole moments, particle-emission Q-values, and relative ... More

The T=0 neutron-proton pairing correlations in the superdeformed rotational bands around 60ZnJul 25 2002The superdeformed bands in 58Cu, 59Cu, 60Zn, and 61Zn are analyzed within the frameworks of the Skyrme-Hartree-Fock as well as Strutinsky-Woods-Saxon total routhian surface methods with and without the T=1 pairing correlations. It is shown that a consistent ... More

HFODD (v2.08k): User's GuideJan 04 2005Jan 07 2005We describe the input data and installation procedures of the code HFODD (v2.08k). The present write-up contains complete and comprehensive information that has originally been given in five independent publications. It is enhanced by the subject index ... More

Effective pseudopotential for energy density functionals with higher order derivativesMar 03 2011Apr 17 2011We derive a zero-range pseudopotential that includes all possible terms up to sixth order in derivatives. Within the Hartree-Fock approximation, it gives the average energy that corresponds to a quasi-local nuclear Energy Density Functional (EDF) built ... More

Self-consistent symmetries in the proton-neutron Hartree-Fock-Bogoliubov approachOct 28 2009Symmetry properties of densities and mean fields appearing in the nuclear Density Functional Theory with pairing are studied. We consider energy functionals that depend only on local densities and their derivatives. The most important self-consistent ... More

Bimodal fission in the Skyrme-Hartree-Fock approachDec 04 2006Spontaneous-fission properties of 256Fm, 258Fm, and 260Fm isotopes are studied within the Skyrme-Hartree-Fock+BCS framework. In the particle-hole channel we take the Skyrme SkM* effective force, while in the particle-particle channel we employ the seniority ... More

Rotational properties of nuclei around $^{254}$No investigated using a spectroscopic-quality Skyrme energy density functionalDec 16 2013Mar 08 2014Nuclei in the $Z\approx100$ mass region represent the heaviest systems where detailed spectroscopic information is experimentally available. Although microscopic-macroscopic and self-consistent models have achieved great success in describing the data ... More

Continuum effects for the mean-field and pairing properties of weakly bound nucleiMay 14 1999Continuum effects in the weakly bound nuclei close to the drip-line are investigated using the analytically soluble Poschl-Teller-Ginocchio potential. Pairing correlations are studied within the Hartree-Fock-Bogoliubov method. We show that both resonant ... More

Approximate restoration of translational and rotational symmetries within the Lipkin methodNov 09 2015Nov 15 2015Background: Nuclear self-consistent mean-field approaches are rooted in the density functional theory and, through the spontaneous symmetry breaking mechanism, allow for including important correlations, while keeping the simplicity of the approach. Because ... More

Spatial symmetries of the local densitiesJan 25 2010Spatial symmetries of the densities appearing in the nuclear Density Functional Theory are discussed. General forms of the local densities are derived by using methods of construction of isotropic tensor fields. The spherical and axial cases are considered. ... More

Closed shells at drip-line nucleiNov 07 1994The shell structure of magic nuclei far from stability is discussed in terms of the self-consistent spherical Hartree-Fock-Bogoliubov theory. In particular, the sensitivity of the shell-gap sizes and the two-neutron separation energies to the choice of ... More

Mean-field description of ground-state properties of drip-line nuclei. (I) Shell-correction methodJun 08 1994A shell-correction method is applied to nuclei far from the beta stability line and its suitability to describe effects of the particle continuum is discussed. The sensitivity of predicted locations of one- and two-particle drip lines to details of the ... More

The Negele-Vautherin density matrix expansion applied to the Gogny forceFeb 19 2010We use the Negele-Vautherin density matrix expansion to derive a quasi-local density functional for the description of systems of fermions interacting with short-ranged interactions composed of arbitrary finite-range central, spin-orbit, and tensor components. ... More

Isospin mixing of isospin-projected Slater determinants: formalism and preliminary applicationsNov 07 2008Nov 21 2008We report on the development of a new theoretical tool that allows for isospin projection of Slater determinants and we present its first applications. In particular, we determine the isospin mixing in ground states of N=Z nuclei and discuss its dependence ... More

Probing the densities of the Sn isotopesFeb 20 2004Proton and neutron densities have been obtained for the even-even isotopes of Sn from $^{100}$Sn to $^{176}$Sn using a Hartree-Fock-Bogoliubov model with a Skyrme interaction. The matter densities so defined have been used with realistic nucleon-nucleon ... More

Angular-momentum projection of cranked symmetry-unrestricted Slater determinantsOct 29 2006We report on development of a new feature of the code HFODD, allowing for the angular-momentum projection of cranked symmetry-unrestricted Slater determinants. After a brief overview of the main theoretical building blocks and formalism, we present several ... More

Pairing Interaction and Self-Consistent Densities in Neutron-Rich NucleiMar 01 2001Particle and pairing densities in spherical even-even neutron-rich nuclei are studied within the Skyrme-Hartree-Fock-Bogoliubov approach with the density-dependent pairing interaction. The influence of the density dependence of the pairing interaction ... More

Error Estimates of Theoretical Models: a GuideFeb 19 2014This guide offers suggestions/insights on uncertainty quantification of nuclear structure models. We discuss a simple approach to statistical error estimates, strategies to assess systematic errors, and show how to uncover inter-dependencies by correlation ... More

Neutron-proton pairing correlations in a single $l-$shell modelOct 25 2017Dec 05 2017The long standing problem of neutron-proton pairing correlations is revisited by employing the Hartree-Fock-Bogoliubov formalism with neutron-proton mixing in both the particle-hole and particle-hole channels. We compare numerical calculations performed ... More

Skyrme-HFB deformed nuclear mass tableApr 27 2004The Skyrme-Hartree-Fock-Bogoliubov code HFBTHO using the axial (2D) Transformed Harmonic Oscillator basis is tested against the HFODD (3D Cartesian HO basis) and HFBRAD (radial coordinate) codes. Results of large-scale ground-state calculations are presented ... More

Boson-fermion Dyson mapping and supersymmetry in fermion systemsMay 19 1994We demonstrate that exact supersymmetry can emerge in a purely fermionic system. This "supersymmetry without bosons" is unveiled by constructing a novel boson-fermion Dyson mapping from a fermion space to a space comprised of collective bosons and ideal ... More

New density-independent interactions for nuclear structure calculationsMay 30 2013Nov 06 2013We present a new two-body finite-range and momentum-dependent but density-independent effective interaction, which can be interpreted as a regularized zero-range force. We show that no three-body or density-dependent terms are needed for a correct description ... More

Pairing properties of superheavy nucleiNov 20 2006Pairing properties of even-even superheavy N=184 isotones are studied within the Skyrme-Hartree-Fock+BCS approach. In the particle-hole channel we take the Skyrme energy density functional SLy4, while in the particle-particle channel we employ the seniority ... More

Symmetry restoration in the nuclear-DFT description of proton-neutron pairingDec 10 2018We show that the symmetry-restored paired mean-field states (quasiparticle vacuua) properly account for isoscalar vs. isovector nuclear pairing properties. Full particle-number, spin, and isospin symmetries are restored in a simple SO(8) proton-neutron ... More

Nonlocal energy density functionals for low-energy nuclear structureFeb 07 2014We introduce a finite-range pseudopotential built as an expansion in derivatives up to next-to-next-to-next-to-leading order (N$^3$LO) and we calculate the corresponding nonlocal energy density functional (EDF). The coupling constants of the nonlocal ... More

Nuclear ground-state properties from mean-field calculationsMar 21 2002The volume and surface effects in the nuclear local energy density and the volume and surface components of the pairing interaction are discussed in the context of the mean-field, Hartree-Fock-Bogoliubov description of atomic nuclei. Predictions of properties ... More

Pairing anti-halo effectAug 25 2000We discuss pairing correlations in weakly bound neutron rich nuclei, by using the coordinate-space Hartree-Fock-Bogolyubov approach which allows to take properly into account the coupling to particle continuum. We show that the additional pairing binding ... More

Boson-fermion mapping and dynamical supersymmetry in fermion modelsJun 20 1996We show that a dynamical supersymmetry can appear in a purely fermionic system. This ``supersymmetry without bosons" is constructed by application of a recently introduced boson-fermion Dyson mapping from a fermion space to a space comprised of collective ... More

Effective theory for low-energy nuclear energy density functionalsJul 05 2012Oct 26 2012We introduce a new class of effective interactions to be used within the energy-density-functional approaches. They are based on regularized zero-range interactions and constitute a consistent application of the effective-theory methodology to low-energy ... More

Contact pairing interaction for the Hartree-Fock-Bogoliubov calculationsSep 25 2001Properties of density-dependent contact pairing interactions in nuclei are discussed. It is shown that the pairing interaction that is intermediate between surface and volume pairing forces gives the pairing gaps that are compatible with the experimental ... More

Odd-Even Staggering of Nuclear Masses: Pairing or Shape Effect?Apr 23 1998The odd-even staggering of nuclear masses was recognized in the early days of nuclear physics. Recently, a similar effect was discovered in other finite fermion systems, such as ultrasmall metallic grains and metal clusters. It is believed that the staggering ... More

Boson-fermion mapping of collective fermion-pair algebrasApr 18 1995We construct finite Dyson boson-fermion mappings of general collective algebras extended by single-fermion operators. A key element in the construction is the implementation of a similarity transformation which transforms boson-fermion images obtained ... More

Local nuclear energy density functional at next-to-next-to-next-to-leading orderJul 30 2008Oct 16 2008We construct nuclear energy density functionals in terms of derivatives of densities up to sixth, next-to-next-to-next-to-leading order (N3LO). A phenomenological functional built in this way conforms to the ideas of the density matrix expansion and is ... More

Nonlocal energy density functionals for pairing and beyond-mean-field calculationsNov 28 2016We propose to use two-body regularized finite-range pseudopotential to generate nuclear energy density functional (EDF) in both particle-hole and particle-particle channels, which makes it free from self-interaction and self-pairing, and also free from ... More

Nonlocal energy density functionals for pairing and beyond-mean-field calculationsNov 28 2016Feb 11 2017We propose to use two-body regularized finite-range pseudopotential to generate nuclear energy density functional (EDF) in both particle-hole and particle-particle channels, which makes it free from self-interaction and self-pairing, and also free from ... More

Polarization corrections to single-particle energies studied within the energy-density-functional and QRPA approachesOct 01 2013Background: Models based on using perturbative polarization corrections and mean-field blocking approximation give conflicting results for masses of odd nuclei. Purpose: Systematically investigate the polarization and mean-field models, implemented within ... More

Title: Quadrupole collective inertia in nuclear fission: cranking approximationJul 21 2010Collective mass tensor derived from the cranking approximation to the adiabatic time-dependent Hartree-Fock-Bogoliubov (ATDHFB) approach is compared with that obtained in the Gaussian Overlap Approximation (GOA) to the generator coordinate method. Illustrative ... More

Pairing renormalization and regularization within the local density approximationJan 18 2006We discuss methods used in mean-field theories to treat pairing correlations within the local density approximation. Pairing renormalization and regularization procedures are compared in spherical and deformed nuclei. Both prescriptions give fairly similar ... More

Point symmetries in the Hartree-Fock approach: Densities, shapes and currentsDec 30 1999Three mutually perpendicular symmetry axes of the second order, inversion, and time reversal can be used to construct a double point group denoted by D2h(TD). Properties of this group are analyzed in relation to the symmetry and symmetry-breaking effects ... More

Additivity of Quadrupole Moments in Superdeformed Bands: Single-Particle Motion at Extreme ConditionsAug 12 1996Quadrupole and hexadecapole moments of superdeformed bands in the $A$$\sim$150 mass region have been analyzed in the cranking Skyrme-Hartree-Fock model. It is demonstrated that, independently of the intrinsic configuration and of the proton and neutron ... More

Collective Rotation of Tetrahedral Nuclei in the Cranking ModelNov 18 2005The three-dimensional cranking model is used to investigate the microscopic aspects of the rotation of nuclei with the tetrahedral symmetry. Two classes of rotation axes are studied corresponding to two different discrete symmetries of the rotating hamiltonian. ... More

Propagation of uncertainties in the Skyrme energy-density-functional modelJan 25 2013Parameters of nuclear energy-density-functionals (EDFs) are always derived by an optimization to experimental data. For the minima of appropriately defined penalty functions, a statistical sensitivity analysis provides the uncertainties of the EDF parameters. ... More

Beta decay of r-process waiting-point nuclei in a self-consistent approachFeb 23 1999Beta-decay rates for spherical neutron-rich r-process waiting-point nuclei are calculated within a fully self-consistent Quasiparticle Random-Phase Approximation, formulated in the Hartree-Fock-Bogolyubov canonical single-particle basis. The same Skyrme ... More

Continuity equation and local gauge invariance for the N3LO nuclear Energy Density FunctionalsOct 13 2011Background: The next-to-next-to-next-to-leading order (N3LO) nuclear energy density functional extends the standard Skyrme functional with new terms depending on higher-order derivatives of densities, introduced to gain better precision in the nuclear ... More

Solution of self-consistent equations for the N3LO nuclear energy density functional in spherical symmetry. The program HOSPHE (v1.00)Dec 16 2009We present solution of self-consistent equations for the N3LO nuclear energy density functional. We derive general expressions for the mean fields expressed as differential operators depending on densities and for the densities expressed in terms of derivatives ... More

Shell Structure of Exotic NucleiJan 17 2007Theoretical predictions and experimental discoveries for neutron-rich, short-lived nuclei far from stability indicate that the familiar concept of nucleonic shell structure should be considered as less robust than previously thought. The notion of single-particle ... More

Dependence of single-particle energies on coupling constants of the nuclear energy density functionalMar 15 2008We show that single-particle energies in doubly magic nuclei depend almost linearly on the coupling constants of the nuclear energy density functional. Therefore, they can be very well characterized by the linear regression coefficients, which we calculate ... More

Error analysis of nuclear mass fitsJun 11 2008We discuss the least-square and linear-regression methods, which are relevant for a reliable determination of good nuclear-mass-model parameter sets and their errors. In this perspective, we define exact and inaccurate models and point out differences ... More

Spectroscopic properties of nuclear Skyrme energy density functionalsMay 19 2014Nov 27 2014We address the question of how to improve the agreement between theoretical nuclear single-particle energies (SPEs) and experiment. Empirically, in doubly magic nuclei, the SPEs can be deduced from spectroscopic properties of odd nuclei that have one ... More

Point symmetries in the Hartree-Fock approach: Symmetry-breaking schemesDec 30 1999We analyze breaking of symmetries that belong to the double point group D2h(TD) (three mutually perpendicular symmetry axes of the second order, inversion, and time reversal). Subgroup structure of the D2h(TD) group indicates that there can be as much ... More

SDG fermion-pair algebraic SO(12) and Sp(10) models and their boson realizationsApr 12 1994It is shown how the boson mapping formalism may be applied as a useful many-body tool to solve a fermion problem. This is done in the context of generalized Ginocchio models for which we introduce S-, D-, and G-pairs of fermions and subsequently construct ... More

Gamow-Teller strength and the spin-isospin coupling constants of the Skyrme energy functionalDec 17 2001We investigate the effects of the spin-isospin channel of the Skyrme energy functional on predictions for Gamow-Teller distributions and superdeformed rotational bands. We use the generalized Skyrme interaction SkO' to describe even-even ground states ... More

Isospin mixing within the symmetry restored density functional theory and beyondOct 15 2013We present results of systematic calculations of the isospin-symmetry-breaking corrections to the superallowed I=$0+,T=1 --> I=0+,T=1 beta-decays, based on the self-consistent isospin- and angular-momentum-projected nuclear density functional theory (DFT). ... More

Isospin mixing in nuclei within the nuclear density functional theoryMar 06 2009We present the self-consistent, non-perturbative analysis of isospin mixing using the nuclear density functional approach and the rediagonalization of the Coulomb interaction in the good-isospin basis. The largest isospin-breaking effects are predicted ... More

The Delta I=4 Bifurcation in Superdeformed BandsOct 25 1994The origin of the Delta I=4 staggering effect which has recently been observed in several superdeformed bands is discussed. The Hamamoto and Mottelson model, which is based on a phenomenological parametrization of the hamiltonian as a quartic function ... More

Boson-fermion mappings for odd systems from supercoherent statesMar 31 1993We extend the formalism whereby boson mappings can be derived from generalized coherent states to boson-fermion mappings for systems with an odd number of fermions. This is accomplished by constructing supercoherent states in terms of both complex and ... More

Microscopic calculations of isospin-breaking corrections to superallowed beta-decayJan 05 2011Mar 09 2011The superallowed beta-decay rates that provide stringent constraints on physics beyond the Standard Model of particle physics are affected by nuclear structure effects through isospin-breaking corrections. The self-consistent isospin- and angular-momentum-projected ... More

Isospin mixing in the vicinity of the N=Z lineOct 25 2010We present the isospin- and angular-momentum-projected nuclear density functional theory (DFT) and its applications to the isospin-breaking corrections to the superallowed beta-decay rates in the vicinity of the N=Z line. A preliminary value obtained ... More

Odd-even staggering of binding energies as a consequence of pairing and mean-field effectsMar 09 2000Odd-even staggering of binding energies is studied in finite fermion systems with pairing correlations. We discuss contributions of the pairing and mean-field to the staggering, and we construct the binding-energy filters which measure the magnitude of ... More

Towards a novel energy density functional for beyond-mean-field calculations with pairing and deformationNov 07 2018We take an additional step towards the optimization of the novel finite-range pseudopotential at constrained Hartree-Fock-Bogolyubov level and implement an optimization procedure within an axial code using harmonic oscillator basis. We perform the optimization ... More

Isospin-symmetry restoration within the nuclear density functional theory: formalism and applicationsDec 22 2009Isospin symmetry of atomic nuclei is explicitly broken by the charge-dependent interactions, primarily the Coulomb force. Within the nuclear density functional theory, isospin is also broken spontaneously. We propose a projection scheme rooted in a mean ... More

Isospin mixing within the multi-reference nuclear density functional theory and beyond - selected aspectsJul 05 2013The results of systematic calculations of isospin-symmetry-breaking corrections to superallowed beta-decays based on the self-consistent isospin- and angular-momentum-projected nuclear density functional theory (DFT) are reviewed with an emphasis on theoretical ... More

Hartree-Fock-Bogolyubov calculations for nuclei with tetrahedral deformationOct 20 2005Hartree-Fock-Bogolyubov solutions corresponding to the tetrahedral deformation are found in six tetrahedrally doubly-magic nuclei. Values of the beta32 deformation, depths of the tetrahedral minima, and their energies relative to the co-existing quadrupole ... More

Quadrupole deformations of neutron-drip-line nuclei studied within the Skyrme Hartree-Fock-Bogolyubov approachSep 03 1999We introduce a local-scaling point transformation to allow for modifying the asymptotic properties of the deformed three-dimensional Cartesian harmonic oscillator wave functions. The resulting single-particle bases are very well suited for solving the ... More

Quadrupole and Hexadecapole Correlations in Rotating Nuclei Studied within the Single-j Shell ModelNov 07 1996The influence of quadrupole and hexadecapole residual interactions on rotational bands is investigated in a single-j shell model. An exact shell-model diagonalization of quadrupole-plus-hexadecapole interaction can sometimes produce a staggering of energy ... More

Approximate Particle Number Projection for Rotating NucleiApr 27 1993Pairing correlations in rotating nuclei are discussed within the Lipkin-Nogami method. The accuracy of the method is tested for the Krumlinde-Szyma\'nski R(5) model. The results of calculations are compared with those obtained from the standard mean field ... More

Isospin mixing in nuclei around N=Z and the superallowed beta-decayOct 15 2010Theoretical approaches that use one-body densities as dynamical variables, such as Hartree-Fock or the density functional theory (DFT), break isospin symmetry both explicitly, by virtue of charge-dependent interactions, and spontaneously. To restore the ... More

Spin-orbit and tensor mean-field effects on spin-orbit splitting including self-consistent core polarizationsJan 07 2008A new strategy of fitting the coupling constants of the nuclear energy density functional is proposed, which shifts attention from ground-state bulk to single-particle properties. The latter are analyzed in terms of the bare single-particle energies and ... More

Axially Deformed Solution of the Skyrme-Hartree-Fock-Bogolyubov Equations using The Transformed Harmonic Oscillator Basis. The program HFBTHO (v1.66p)Jun 24 2004We describe the program HFBTHO for axially deformed configurational Hartree-Fock-Bogoliubov calculations with Skyrme-forces and zero-range pairing interaction using Harmonic-Oscillator and/or Transformed Harmonic-Oscillator states. The particle-number ... More

Local Density Approximation for proton-neutron pairing correlations. I. FormalismOct 01 2003In the present study we generalize the self-consistent Hartree-Fock-Bogoliubov (HFB) theory formulated in the coordinate space to the case which incorporates an arbitrary mixing between protons and neutrons in the particle-hole (p-h) and particle-particle ... More

No-core configuration-interaction model for the isospin- and angular-momentum-projected statesJan 14 2016[Background] Single-reference density functional theory is very successful in reproducing bulk nuclear properties like binding energies, radii, or quadrupole moments throughout the entire periodic table. Its extension to the multi-reference level allows ... More

Large-Scale Self-Consistent Nuclear Mass CalculationsJan 12 2006The program of systematic large-scale self-consistent nuclear mass calculations that is based on the nuclear density functional theory represents a rich scientific agenda that is closely aligned with the main research directions in modern nuclear structure ... More

Kerman-Onishi conditions in self-consistent tilted-axis-cranking mean-field calculationsAug 01 2013Sep 11 2013\item[Background] For cranked mean-field calculations with arbitrarily oriented rotational frequency vector $\boldsymbol{\omega}$ in the intrinsic frame, one has to employ constraints on average values of the quadrupole-moment tensor, so as to keep the ... More

Hexadecapole Interaction and the Delta I=4 Staggering Effect in Rotational BandsOct 18 1994Oct 19 1994A role of the multipole interaction in the description of the $\triangle I$=4 staggering phenomenon is investigated in a model consisting of a single-$j$ shell filled by identical nucleons. Exact diagonalization of the quadrupole-plus-hexadecapole Hamiltonian ... More

Isospin-breaking corrections to superallowed Fermi beta-decay in isospin- and angular-momentum-projected nuclear Density Functional TheoryOct 03 2012Oct 25 2012Background: The superallowed beta-decay rates provide stringent constraints on physics beyond the Standard Model of particle physics. To extract crucial information about the electroweak force, small isospin-breaking corrections to the Fermi matrix element ... More

Collective inertia and fission barriers within the Skyrme-Hartree-Fock theoryOct 24 2006Nov 08 2006Spontaneous fission barriers, quadrupole inertia, and zero-point quadrupole-energy corrections are calculated for 252,256,258Fm in the framework of the self-consistent Skyrme-Hartree-Fock+BCS theory. Two ways of computing dynamical inertia are employed: ... More