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String point of view for heavy-light mesonsNov 19 2016An approximate rotational symmetry of a heavy-light meson is viewed from a string picture. Using a simple string configuration, we derive a formula, $(M-m_c)^2=\pi\sigma L$, whose coefficient of the r.h.s. is just 1/2 of that of a light meson with two ... More

Low-excited charm and charm-strange baryons revisited in the quark-diquark pictureSep 26 2016Assuming a heavy quark-light diquark picture, we systematically study the mass spectra and strong decays of $1P$ and $2S$ charm and charm-strange baryons by the nonrelativistic constituent quark models. Most of the existing charm and charm-strange baryons ... More

Potential observation of the $Υ(6S) \to Υ(1^3D_J) η$ transitions at Belle IIApr 03 2018We perform the investigation of two-body hidden-bottom transitions of the $\Upsilon(6S)$, which include $\Upsilon(6S) \to \Upsilon(1^3D_J) \eta~~(J=1,2,3)$ decays. For estimating the branching ratios of these processes, we consider contributions from ... More

High-spin mesons below 3 GeVMay 15 2015Jul 02 2015In this work, we study the high-spin states with masses below 3 GeV observed in experiments and we perform analysis of mass spectrum and investigation of strong decay behaviors of the high-spin states. Comparing our results with the experimental data, ... More

Pseudotensor meson familyOct 15 2014Jan 14 2015The pseudoscalar tensor states, $\pi_2$, $\eta_2$, and $K_2$, are systematically studied through the Okubo-Zweig-Iizuka- allowed two-body strong decays, including both the observed states reported by the Particle Data Group and the predicted states. Phenomenological ... More

Doubly Heavy Baryons Expanded in $1/m_Q$Mar 11 2019Starting from the semirelativistic Hamiltonian for a doubly heavy baryon system ($QQq$) with Coulomb and linear confining scalar potentials, and operating the naive Foldy-Wouthuysen-Tani transformation on two heavy quarks, I construct a formulation how ... More

Construction of Lorentz Invariant Amplitudes from Rest Frame Wave Functions in HQETMar 15 2007Dec 08 2007Succeeding in predicting 0^+ and 1^+ states of D and D_s heavy mesons by our semi-relativistic quark potential model, we examine a method how to construct Lorentz-invariant scattering amplitudes and/or decay widths and develop a formulation to calculate ... More

Revealing the inner structure of the newly observed $D_2^*(3000)$Aug 15 2016Nov 01 2016Stimulated by the recent observation of the $D_2^\ast(3000)$, we study the decay behaviors of the $3P$ and $2F$ charmed mesons in the present work. By comparing the masses and decay properties of the $3^3P_2$ and $2^3F_2$ charmed mesons with the observation ... More

Spectroscopy and Decays of Heavy MesonsSep 06 1995Assuming Coulomb-like as well as confining scalar potential, we have solved Shr\"odinger equation perturbatively in $1/m_Q$ with a heavy quark mass $m_Q$. The lowest order equation is examined carefully. Mass levels are fitted with experimental data for ... More

Spectroscopy of Heavy Mesons Expanded in 1/m_QFeb 19 1997Mar 06 1997Operating just once with the naive Foldy-Wouthuysen-Tani transformation on the relativistic Fermi-Yang equation for $Q\bar q$ bound states described by the semi-relativistic Hamiltonian which includes Coulomb-like as well as confining scalar potentials, ... More

Revealing the inner structure of the newly observed $D_2^*(3000)$Aug 15 2016Aug 23 2016Stimulated by the recent observation of the $D_2^\ast(3000)$, we study the decay behaviors of the $3P$ and $2F$ charmed mesons in the present work. By comparing the masses and decay properties of the $3^3P_2$ and $2^3F_2$ charmed mesons with the observation ... More

Decay properties of the heavy-light mesonsSep 20 2010We study the decay properties of a heavy-light meson. We reformulate the decay amplitudes for the heavy-light systems and find a new way to calculate decay rates. Applying this formulation, we find a new sum rule for the radiative decays of one heavy-light ... More

Chiral Particle Decay of Heavy-Light Mesons in a Relativistic Potential ModelNov 03 2011Dec 24 2011Partial decay widths of the heavy-light mesons, $D, D_s, B,$ and $B_s$, emitting one chiral particle ($\pi$ or $K$) are evaluated in the framework of a relativistic potential model. Decay amplitudes are calculated by keeping the Lorentz invariance as ... More

Lectures on Factorization of Birational MapsFeb 11 2000This is an expanded version of the notes for the lectures given by the author at RIMS in the summer of 1999 to give a detailed account of the proof for the (weak) factorization theorem of birational maps by Abramovich-Karu-Matsuki-W{\l}odarczyk.

Orthogonal multiple flag varieties of finite type I : Odd degree caseFeb 26 2014Jul 09 2014Let $G$ be the split orthogonal group of degree $2n+1$ over an arbitrary field $\mathbb{F}$ of ${\rm char}\,\mathbb{F}\ne 2$. In this paper, we classify multiple flag varieties $G/P_1\times\cdots\times G/P_k$ of finite type. Here a multiple flag variety ... More

Equivalence of domains arising from duality of orbits on flag manifoldsSep 19 2003Jul 30 2004In [GM1], we defined a G_R-K_C invariant subset C(S) of G_C for each K_C-orbit S on every flag manifold G_C/P and conjectured that the connected component C(S)_0 of the identity would be equal to the Akhiezer-Gindikin domain D if S is of nonholomorphic ... More

Explaining the anomalous $Υ(5S)\to χ_{bJ}ω$ decays through the hadronic loop effectJun 26 2014Aug 20 2014In this work, we carry out the study on $\Upsilon(5S)\to \chi_{bJ}\omega$ ($J=0,1,2$) by considering the hadronic loop mechanism. Our results show that the Belle's preliminary data of the branching ratios for $\Upsilon(5S)\to \chi_{bJ}\omega$ can be well ... More

Charged bottomonium-like structures in the hidden-bottom dipion decays of $Υ(11020)$Aug 22 2011Oct 11 2011Under the Initial Single Pion Emission mechanism, we study the hidden-bottom dipion decays of $\Upsilon(11020)$, i.e., $\Upsilon(11020)\to \Upsilon(nS)\pi^+\pi^-$ $(n=1,2,3)$ and $\Upsilon(11020)\to h_b(mP)\pi^+\pi^-$ $(m=1,2)$. We predict explicit sharp ... More

Prediction of charmoniumlike structures in the hidden-charm di-eta decays of higher charmoniaSep 18 2013Oct 23 2014Considering the situation that a single chiral partilce, $\eta$, is initially emitted, we study the hidden-charm di-eta decays of charmoniumlike state $Y(4660)$ and the predicted charmonium $\psi(4790)$, i.e., $Y(4660)/\psi(4790) \to J/\psi\eta\eta$ through ... More

Interpretation of $Z_b(10610)$ and $Z_b(10650)$ in the ISPE mechanism and the Charmonium CounterpartAug 12 2012Aug 20 2012The initial single pion emission (ISPE) mechanism is applied to the processes $\Upsilon(5S)\to \pi B^{(*)}\bar{B}^{(*)}$ whose details have been recently reported at ICHEP2012 and we obtain reasonable agreement with Bell's measurements, i.e., we succeed ... More

Radial Excitations of Heavy MesonsOct 16 2006Feb 08 2007Recent discovery of D_s states suggests existence of radial excitations. Our semirelativistic quark potential model succeeds in reproducing these staes within one to two percent of accuracy compared with the experiments, D_s0(2860) and D_s^*(2715), which ... More

Predictions of charged charmonium-like structures with hidden-charm and open-strange channelsMar 27 2013Jun 06 2013We propose the initial single chiral particle emission mechanism, with which the hidden-charm di-kaon decays of higher charmonia and charmonium-like states are studied. Calculating the distributions of differential decay width, we obtain the line shape ... More

Anomalous radiative transitions between $h_b(nP)$ and $η_b(mS)$ and hadronic loop effectApr 01 2013May 03 2013In this work, we introduce the hadronic loop contribution to explain the anomalous radiative transitions between $h_b(nP)$ and $\eta_b(mS)$, which was recently observed by the Belle Collaboration. Our calculation shows that the hadronic loop mechanism ... More

Erratum to the paper "A note on the factorization theorem of toric birational maps after Morelli and its toroidal extension"Jun 05 2000This is an erratum to math.AG/9803126, Tohoku 51 (1999) 489-537. This erratum describes: 1. the failure of the algorithm in [AMR] and [Morelli1] for the strong factorization pointed out by Kalle Karu, 2. the statement of a refined weak factorization theorem ... More

Study of Structure of the Mass Gap between Two Spin MultipletsDec 08 2007Studying our semirelativistic potential model and the numerical results, which succeeds in predicting and reproducing recently discovered higher resonances of $D$, $D_s$, $B$, and $B_s$, we find a simple expression for the mass gap between two spin multiplets ... More

Mixing angle between $^3P_1$ and $^1P_1$ in HQETJan 24 2010Jul 04 2010Some claim that there are two independent mixing angles ($\theta = 35.3^\circ$, $-54.7^\circ$) between $^3P_1$ and $^1P_1$ states of heavy-light mesons in heavy quark symmetric limit, and others claim there is only one ($\theta = 35.3^\circ$). We clarify ... More

Structure of Mass Gap between Two Spin MultipletsOct 01 2007Dec 08 2007Studying our semirelativistic potential model and the numerical results, which succeeds in predicting and reproducing recently discovered higher resonances of $D$, $D_s$, $B$, and $B_s$, we find a simple expression for the mass gap between two spin multiplets ... More

Interference effect as resonance killer of newly observed charmoniumlike states $Y(4320)$ and $Y(4390)$Aug 07 2017Mar 23 2018In this letter, we decode the newly observed charmoniumlike states, $Y(4320)$ and $Y(4390)$, by introducing interference effect between $\psi(4160)$ and $\psi(4415)$, which plays a role of resonance killer for $Y(4320)$ and $Y(4390)$. It means that two ... More

Search for missing $ψ(4S)$ in the $e^+e^-\to π^+π^-ψ(2S)$ processSep 02 2015Feb 18 2016A detailed analysis to find a missing $\psi(4S)$ is made by utilizing the recent precise mesurements of the cross section for the process $e^+e^-\to \psi(2S)\pi^+\pi^-$ by Belle. Assuming three resonances $Y(4360)$, $Y(4660)$, and $\psi(4S)$ to fit the ... More

Charged charmonium-like structures and the initial single chiral particle emission mechanismFeb 13 2015Feb 16 2015This paper summarizes what we have done so far to explain charged charmonium/bottomonium-like structures using a hadronic triangle diagram which we call the initial single chiral particle emission mechanism. We discuss processes like $A\to A'+P+P'$ in ... More

Is the Z^+(4430) a radially excited state of D_s?May 16 2008Oct 05 2008We present the interpretation that the recently discovered Z^+(4430) by the Belle Collaboration can be a radial excitation of the cs-bar state. We give an explicit cs-bar candidate for this state by calculating the mass value in our semirelativistic quark ... More

New Heavy-Light Mesons $Q\bar q$May 01 2006Jan 03 2007We succeed in reproducing the $\ell=1$ $B$ mesons, $B_1(5720)$, $B_2^*(5745)$, and $B_{s2}^*(5839)$ that are recently reported by D0 and CDF, by using our semirelativistic quark potentila model, which also succeeded in predicting the mass spectra of the ... More

Hidden-charm decays of $X(3915)$ and $Z(3930)$ as the P-wave charmoniaNov 25 2013Apr 09 2015In this work, we investigate the $X(3915)$ and $Z(3930)$ decays into $J/\psi\omega$ with the $\chi_{c0}^\prime(2P)$ and $\chi_{c2}^\prime (2P)$ assignments to $X(3915)$ and $Z(3930)$, respectively. The results show that the decay width of $Z(3930)\to ... More

Novel charged charmoniumlike structures in the hidden-charm dipion decays of Y(4360)Jun 10 2013Jul 13 2013Studying the hidden-charm dipion decays of the charmoniumlike state Y(4360), we show that there exist charged charmoniumlike structures near $D\bar{D}^*$ and $D^*\bar{D}^*$ thresholds in the $J/\psi\pi^+$, $\psi(2S)\pi^+$ and $h_c(1P)\pi^+$ invariant ... More

η transitions between charmonia with meson loop contributionsSep 01 2012Feb 19 2013We study the $\eta$ transitions between $\psi(4040/4160)$ and $J/\psi$ by introducing charmed meson loops in an effective Lagrangian approach to enhance the decay amplitudes. The branching fractions $\mathcal{B}[\psi(4040) \to J/\psi \eta]$ and $\mathcal{B}[\psi(4160) ... More

Two charged strangeonium-like structures observable in the $Y(2175) \to φ(1020)π^{+} π^{-}$ processDec 16 2011May 14 2012Via the Initial Single Pion Emission (ISPE) mechanism, we study the $\phi(1020)\pi^{+}$ invariant mass spectrum distribution of $Y(2175) \to \phi(1020)\pi^{+} \pi^{-}$. Our calculation indicates there exist a sharp peak structure ($Z_{s1}^+$) close to ... More

Newly observed $B(5970)$ and the predictions of its spin and strange partnersFeb 03 2014Apr 30 2014Using the effective Lagrangian approach, we study the decay behavior of the newly observed $B(5970)$ meson, which is assigned as the $2^3S_1$ state in the $B$ meson family. What is more important is that we predict the information of the partial and total ... More

Understanding $B^-\rightarrow X(3823)K^-$ via rescattering mechanism and predicting $B^-\to η_{c2} (^1D_2)/ψ_3(^3D_3)K^-$May 16 2016Jul 20 2016We study the observed $B^-\rightarrow X(3823)K^-$ decay via rescattering mechanism and show that this branching ratio is well reproduced by this mechanism. We further extend this theoretical framework to investigate the decays of $B^-\to\eta_{c2} (^1D_2)/\psi_3(^3D_3)K^-$, ... More

Reproducing the $Z_c(3900)$ structure through the initial-single-pion-emission mechanismApr 22 2013Aug 15 2013Being stimulated by the recent BESIII observation of a charged charmoniumlike structure $Z_c(3900)$, in this work we study the distributions of the $J/\psi\pi^\pm$ and $\pi^+\pi^-$ invariant mass spectra of the $Y(4260)\to \pi^+\pi^- J/\psi$ decay by ... More

Observation of $e^+e^-\to χ_{c0}ω$ and missing higher charmonium $ψ(4S)$Nov 19 2014Apr 30 2015Stimulated by the recent BESIII observation of a new resonance in $e^+ e^- \to \omega \chi_{c0}$ and by the fact that this state is consistent with our predicted $\psi(4S)$, in this work we estimate the meson loop contribution to $\psi(4S) \to \omega ... More

Proposal of searching for the $Υ(6S)$ hadronic decays into $Υ(nS)$ plus $η^{(\prime)}$Jul 24 2018Sep 03 2018In this work, we propose a possible experimental research topic on the $\Upsilon(6S)\to \Upsilon(nS)\eta^{(\prime)}$ ($n=1,2,3$) transitions. Considering the hadronic loop effect from the intermediate $S$-wave $B_{(s)}$ and $B_{(s)}^*$ mesons, we estimate ... More

Approximate degeneracy of heavy-light mesons with the same $L$Feb 21 2016Apr 05 2016Careful observation of the experimental spectra of heavy-light mesons tells us that heavy-light mesons with the same angular momentum $L$ are almost degenerate. The estimate is given how much this degeneracy is broken in our relativistic potential model, ... More

Higher radial and orbital excitations in the charmed meson familyMar 19 2015Sep 16 2015Considering abundant experimental information of charmed mesons and the present research status, in this work we systematically study higher radial and orbital excitations in the charmed meson family by analyzing the mass spectrum and calculating their ... More

Constructing $J/ψ$ family with updated data of charmoniumlike $Y$ statesMar 17 2019Based on the updated data of charmoniumlike state $Y(4220)$ reported in the hidden-charm %and open-charm channels of the $e^+e^-$ annihilation, we propose a $4S$-$3D$ mixing scheme to categorize $Y(4220)$ into the $J/\psi$ family. We find that the present ... More

Estimating the production rates of D-wave charmed mesons via the semileptonic decays of bottom mesonsJul 09 2017Dec 28 2018In this work, using the covariant light front approach with conventional vertex functions, we estimate the production rates of $D$-wave charmed/charmed-strange mesons via $B_{(s)}$ semileptonic decays. Due to these calculated considerable production rates, ... More

$D_{s1}^*(2860)$ and $D_{s3}^*(2860)$: Candidates for $1D$ charmed-strange mesonsAug 03 2014Sep 29 2016Newly observed two charmed-strange resonances, $D_{s1}^*(2860)$ and $D_{s3}^*(2860)$, are investigated by calculating their Okubo-Zweig-Iizuka allowed strong decays, which shows that they are suitable candidates for the $1^3D_1$ and $1^3D_3$ states in ... More

Prediction of a missing higher charmonium around 4.26 GeV in $J/ψ$ familyMay 15 2014Dec 10 2014Inspired by the similarity of mass gaps of $J/\psi$ and $\Upsilon$ families, the prediction of missing higher charmonium with mass $4263$ MeV and very narrow width is made. In addition, the properties of two charmonium-like states, $X(3940)$ and $X(4160)$, ... More

Low-lying charmed and charmed-strange baryon statesSep 26 2016Mar 20 2017In this work, we systematically study the mass spectra and strong decays of $1P$ and $2S$ charmed and charmed-strange baryons in the framework of nonrelativistic constituent quark models. With the light quark cluster-heavy quark picture, the masses are ... More

Low-excited charm and charm-strange baryons revisited in the quark-diquark pictureSep 26 2016Sep 29 2016Assuming a heavy quark-light diquark picture, we systematically study the mass spectra and strong decays of $1P$ and $2S$ charm and charm-strange baryons by the nonrelativistic constituent quark models. Most of the existing charm and charm-strange baryons ... More

Charged charmoniumlike structures in the $e^+ e^- \to ψ(3686) π^+ π^-$ process based on the ISPE mechanismMay 14 2019In 2017, the BESIII Collaboration announced the observation of a charged charmonium-like structure in the $\psi(3686)\pi^\pm$ invariant mass spectrum of the $e^+ e^- \to \psi(3686) \pi^+ \pi^-$ process at different energy points, which enables us to perform ... More

Mumford-Thaddeus Principle on the Moduli Space of Vector Bundles on an Algebraic SurfaceOct 15 1994We study the behavior of the Gieseker space of semistable torsion-free sheaves of rank r and fixed c_1, c_2 on a non-singular projective surface as the polarization varies. It is shown that the ample cone admits a locally finite chamber structure, and ... More

Charmed-strange mesons revisited: mass spectra and strong decaysJan 15 2015Mar 04 2015Inspired by the present experimental status of charmed-strange mesons, we perform a systematic study of the charmed-strange meson family, in which we calculate the mass spectra of the charmed-strange meson family by taking a screening effect into account ... More

Phenomenological study of the isovector tensor meson familyMay 13 2014Jun 25 2014In this work, we study all the observed $a_2$ states and group them into the $a_2$ meson family, where their total and partial decay widths are calculated via the quark pair creation model. Taking into account the present experimental data, we further ... More

Puzzle of the $Λ_c$ spectrumOct 30 2016There is a puzzle in the $\Lambda_c^+$ family, i.e., one member with $J^P=3/2^+$ is missing in a $L=2$ multiplet which the heavy quark effective theory predicts, and $J^P$'s of $\Lambda_c(2765)^+$ and $\Lambda_c(2940)^+$ are unknown. Using a light diquark ... More

Does the enhancement observed in $γγ\to D\bar{D}$ contain two $P$-wave higher charmonia?Jul 16 2012Oct 31 2012Solved is a new puzzle raised by the observation of an enhancement structure Z(3930) in $\gamma\gamma\to D\bar{D}$. If categorizing Z(3930) as $\chi_{c2}(2P)$ suggested by Belle and BaBar, we must explain why $\chi_{c0}(2P)$ dominantly decaying into $D\bar{D}$ ... More

Light axial vector mesonsJan 30 2015Apr 18 2015Inspired by the abundant experimental observation of axial-vector states, we study whether the observed axial-vector states can be categorized into the conventional axial-vector meson family. In this paper we carry out an analysis based on the mass spectra ... More

A remark on Schubert cells and duality of orbits on flag manifoldsAug 09 2002It is known that the closure of an arbitrary K_c-orbit on a flag manifold is expressed as a product of a closed K_c-orbit and a Schubert cell ([M2], [Sp]). We already applied this fact to the duality of orbits on flag manifolds ([GM]). We refine here ... More

Log Sarkisov ProgramFeb 10 1995The purpose of this paper is two-fold. The first is to give a tutorial introduction to the Sarkisov program, a 3-dimensional generalization of Castelnuovo-N\"other Theorem ``untwisting" birational maps between Mori fiber spaces, which was recently established ... More

A new strategy for resolution of singularities in the monomial case in positive characteristicJul 18 2015Apr 28 2016According to our approach for resolution of singularities in positive characteristic (called the Idealistic Filtration Program, alias the I.F.P. for short) the algorithm is devided into the following two steps: Step 1. Reduction of the general case to ... More

Toward resolution of singularities over a field of positive characteristic (The Idealistic Filtration Program) Part II. Basic invariants associated to the idealistic filtration and their propertiesDec 01 2006Feb 02 2009This is Part II of the series of our papers under the title "Toward resolution of singularities over a field of positive characteristic (The Idealistic Filtration Program)". See http://arxiv.org/abs/math/0607009 for Part I.

Uniformity of stably integral points on principally polarized abelian surfacesSep 05 1998We prove, assuming that the conjecture of Lang and Vojta holds true, that there is a uniform bound on the number of stably integral points in the complement of the theta divisor on a principally polarized abelian surface defined over a number field. This ... More

Intervention Threshold for Epidemic Control in Susceptible-Infected-Recovered Metapopulation ModelsMay 09 2019Metapopulation epidemic models describe epidemic dynamics in networks of spatially distant patches connected with pathways for migration of individuals. In the present study, we deal with a susceptible-infected-recovered (SIR) metapopulation model where ... More

Simulating the charged charmoniumlike structure $Z_c(4025)$Aug 14 2013Jan 30 2014Inspired by recent observation of charged charmoniumlike structure $Z_c(4025)$, we explore the $Y(4260)\to (D^*\bar{D}^*)^- \pi^+$ decay through the initial-single-pion-emission mechanism, where the $D^*\bar{D}^*\to D^*\bar{D}^*$ interaction is studied ... More

Regge-like relation and a universal description of heavy-light systemsSep 21 2017Dec 18 2017Using the Regge-like formula $(M-m_Q)^2=\pi\sigma L$ between hadron mass $M$ and angular momentum $L$ with a heavy quark mass $m_Q$ and a string tension $\sigma$, we analyze all the heavy-light systems, i.e., $D/D_s/B/B_s$ mesons and charmed and bottom ... More

Non-strange partner of strangeonium-like state Y(2175)Feb 19 2012Apr 21 2012Inspired by the observed Y(2175) state, we predict its non-strange partner Y(1915), which has a resonance structure with mass around 1915 MeV and width about $317\sim 354$ MeV. Experimental search for Y(1915) is proposed by analyzing the $\omega f_0(980)$ ... More

Revealing the inner structure of the newly observed $D_2^*(3000)$Aug 15 2016Nov 03 2016Stimulated by the recent observation of the $D_2^\ast(3000)$, we study the decay behaviors of the $3P$ and $2F$ charmed mesons in the present work. By comparing the masses and decay properties of the $3^3P_2$ and $2^3F_2$ charmed mesons with the observation ... More

Understanding the $η_cρ$ decay mode of $Z_c^{(\prime)}$ via final state interactionsNov 12 2018Stimulated by the recent measurement of the $\eta_c \rho$ decay mode of $Z_c^{(\prime)}$ by the BESIII Collaboration, we apply the final state interaction mechanism to investigate the hidden charm decays of $Z_c^{(\prime)}$. The estimation in the present ... More

Revealing the inner structure of the newly observed $D_2^*(3000)$Aug 15 2016Nov 29 2016Stimulated by the recent observation of the $D_2^\ast(3000)$, we study the decay behaviors of the $3P$ and $2F$ charmed mesons in the present work. By comparing the masses and decay properties of the $3^3P_2$ and $2^3F_2$ charmed mesons with the observation ... More

Exploring the $Υ(6S)\to χ_{bJ}φ$ and $Υ(6S)\to χ_{bJ}ω$ hidden-bottom hadronic transitionsJan 04 2017Feb 28 2017In this work, we investigate the hadronic loop contributions to the $\Upsilon(6S) \to \chi_{bJ} \phi~(J=0,1,2)$ along with $\Upsilon(6S) \to \chi_{bJ} \omega~(J=0,1,2)$ transitions. We predict that the branching ratios of $\Upsilon(6S) \to \chi_{b0} \phi$, ... More

Understanding the $η_cρ$ decay mode of $Z_c^{(\prime)}$ via the triangle loop mechanismNov 12 2018Mar 24 2019Recently, the BESIII Collaboration reported a new measurement of the $\eta_c \rho$ decay mode of $Z_c^{(\prime)}$, which motivated us to study the inner structure of $Z_c^{(\prime)}$ via investigating the hidden charm decays of these two $Z_c$ states. ... More

Borel-piecewise continuous reducibility for uniformization problemsAug 10 2016Sep 04 2016We study a fine hierarchy of Borel-piecewise continuous functions, especially, between closed-piecewise continuity and $G_\delta$-piecewise continuity. Our aim is to understand how a priority argument in computability theory is connected to the notion ... More

Iterated risk measures for risk-sensitive Markov decision processes with discounted costFeb 14 2012We demonstrate a limitation of discounted expected utility, a standard approach for representing the preference to risk when future cost is discounted. Specifically, we provide an example of the preference of a decision maker that appears to be rational ... More

Power counting renormalizability of quantum gravity in Lifshitz spacetimeOct 25 2012We analyse the power counting renormalizability of the quantum field theory of Einstein or Einstein-Gauss-Bonnet gravity in D+2 dimensional Lifshitz spacetime. We show the spectral dimension becomes 2+(D/z) at the UV region where z is the critical exponent. ... More

BRS Cohomology of a Bilocal ModelMar 28 1995Jun 08 1996We present a model in which a gauge symmetry of a field theory is intrinsic in the geometry of an extended space time itself. A consequence is that the dimension of our space time is restricted through the BRS cohomology. If the Hilbert space is a dense ... More

The Structure of a Self-Gravitating Protoplanetary Disk and its Implications to Direct Imaging ObservationsJun 26 2011We consider the effects of self-gravity on the hydrostatic balance in the vertical direction of a gaseous disk and discuss the possible signature of the self-gravity that may be captured by the direct imaging observations of protoplanetary disks in future. ... More

Lorentz breaking terms from Einstein gravityNov 12 2016We construct an action which is invariant under the foliation preserving diffeomorphism from the Einstein Hilbert action. Starting from the Einstein Hilbert action, we introduce the gauge invariance under the anisotropic rescaling by using the St\"uckelberg ... More

On energy-momentum spectrum of stationary states with nonvanishing current on 1-d lattice systemsDec 02 2003On one-dimensional two-way infinite quantum lattice system, a property of translationally invariant stationary states with nonvanishing current expectation is investigated. We consider GNS representation with respect to such a state, on which we have ... More

Method of N-body simulation on the MOdified GravityOct 25 2011Feb 18 2012Scalar Tensor Vector Gravity(STVG) is one of a modified gravity theory developed by John Moffat(2005). MOG is abbreviated name for this theory.This theory is added a massive vector field to Brans-Dicke theory. It can explain a galactic rotary curve and ... More

Two-dimensional models of the magnetic-field enhancement at pit and bumpJul 03 2014Formulae of magnetic field enhancement at a two-dimensional semi-elliptical bump and a two-dimensional pit with chamfered edges are derived by using the method of conformal mapping. The latter can be regarded as an approximated model of the two-dimensional ... More

The Next SRF TechnologiesMar 16 2017Mar 25 2017In this talk, I introduce the proposed next superconducting radio-frequency (SRF) technologies that will make it possible to achieve much higher accelerating electric field than the present SRF technologies. Audiences are assumed to be non-experts. We ... More

Abundance of nilpotent orbits in real semisimple Lie algebrasDec 09 2016We formulate and prove that there are "abundant" in nilpotent orbits in real semisimple Lie algebras, in the following sense. If S denotes the collection of hyperbolic elements corresponding the weighted Dynkin diagrams coming from nilpotent orbits, then ... More

Classification of del Pezzo surfaces with $\frac{1}{3}(1,1)$- and $\frac{1}{4}(1,1)$-singularitiesMar 02 2019We classify all the del Pezzo surfaces with $\frac{1}{3}(1,1)$- and $\frac{1}{4}(1,1)$-singularities having no floating $(-1)$-curves into 39 types.

Classification of semisimple symmetric spaces with proper SL(2,R)-actionsMay 06 2012Jan 24 2013We give a complete classification of irreducible symmetric spaces for which there exist proper SL(2,R)-actions as isometries, using the criterion for proper actions by T. Kobayashi [Math. Ann. '89] and combinatorial techniques of nilpotent orbits. In ... More

Multilayer coating for high gradientsJul 06 2016Jul 22 2016Theory of the superconductor-insulator-superconductor (S-I-S) multilayer structure in superconducting accelerating cavity application is reviewed. The theoretical field limit, optimum layer thicknesses and material combination, and surface resistance ... More

Relativistic Particle in Complex Space TimeApr 06 2009May 27 2009A modified version of the bilocal particle is presented in terms of complex space time. Unusual constraint structure of the model is studied, and a new concept of the physical equivalence is proposed in accordance with Dirac's conjecture. It is found ... More

Power Law of Customers' Expenditures in Convenience StoresFeb 01 2008In a convenience store chain, a tail of the cumulative density function of the expenditure of a person during a single shopping trip follows a power law with an exponent of -2.5. The exponent is independent of the location of the store, the shopper's ... More

Complex K3 surfaces containing Levi-flat hypersurfacesMar 10 2017We show the existence of a complex K3 surface $X$ which is not a Kummer surface and has a one-parameter family of Levi-flat hypersurfaces in which all the leaves are dense. We construct such $X$ by patching two open complex surfaces obtained as the complements ... More

The Continuum Limit of One-Dimensional Quantum Regge Calculus with Massive BosonsFeb 02 1996Feb 06 1996The most essential problems in Regge calculus discretization are the definitions of the partition function and the integral measure for link--length. In recent work, by considering the one--dimensional case, it was suggested that we should define the ... More

Deformations of special Legendrian submanifolds in Sasaki-Einstein manifoldsJun 12 2013May 09 2014In this paper, we provide a deformation theory of submanifolds which are characterized by differential forms and show that the moduli space of special Legendrian submanifolds in Sasaki-Einstein manifolds is the intersection of two deformation spaces which ... More

Quantum Kolmogorov Complexity and Bounded Quantum MemoryJan 26 2011Feb 08 2011In this study, the effect of bounded quantum memory in a primitive information protocol has been examined using the quantum Kolmogorov complexity as a measure of information. We employed a toy two-party protocol in which Bob by using a bounded quantum ... More

Slow decay of dynamical correlation functions for nonequilibrium quantum statesFeb 17 2004Jul 14 2004A property of dynamical correlation functions for nonequilibrium states is discussed. We consider arbitrary dimensional quantum spin systems with local interaction and translationally invariant states with nonvanishing current over them. A correlation ... More

Relation between information and disturbance in quantum key distribution protocol with classical AliceMay 12 2011Aug 17 2011The "semiquantum" key distribution protocol introduced by Zou et al. [Phys. Rev. A Vol.79, 052312 (2009)] is examined. The protocol while using two-way quantum communication requires only Bob to be fully quantum. We derive a trade-off inequality between ... More

Entangled Markov Chains generated by Symmetric ChannelsFeb 05 2006A notion of entangled Markov chain was introduced by Accardi and Fidaleo in the context of quantum random walk. They proved that, in the finite dimensional case, the corresponding states have vanishing entropy density, but they did not prove that they ... More

Zigzag Decodable Fountain CodesMay 30 2016Oct 14 2016This paper proposes a fountain coding system which has lower space decoding complexity and lower decoding erasure rate than the Raptor coding systems. The main idea of the proposed fountain code is employing shift and exclusive OR to generate the output ... More

Smallest complex nilpotent orbits with real pointsFeb 27 2014Let us fix a complex simple Lie algebra and its non-compact real form. This paper focuses on non-zero adjoint nilpotent orbits in the complex simple Lie algebra meeting the real form. We show that the poset consisting of such nilpotent orbits equipped ... More

On a new integrable discretization of the derivative nonlinear Schrödinger (Chen-Lee-Liu) equationJan 08 2015We propose a general integrable lattice system involving some free parameters, which contains known integrable lattice systems such as the Ablowitz-Ladik discretization of the nonlinear Schr\"odinger (NLS) equation as special cases. With a suitable choice ... More

Multisoliton solutions of the vector nonlinear Schrödinger equation (Kulish-Sklyanin model) and the vector mKdV equationDec 06 2015Dec 21 2015There exist two natural vector generalizations of the completely integrable nonlinear Schr\"odinger (NLS) equation in $1+1$ dimensions: the well-known Manakov model and the lesser-known Kulish-Sklyanin model. In this paper, we propose a binary Darboux ... More

Exact Solutions to the Wheeler-DeWitt Equation of Two Dimensional Dilaton GravityMar 09 1993Jul 09 1993The two dimensional dilaton gravity with the cosmological term and with an even number of matter fields minimally coupled to the gravity is considered. The exact solutions to the Wheeler-DeWitt equation are obtained in an explicit functional form, which ... More

W mass measurement at LEPJun 24 1999In 1998, the four experiments of LEP, i.e. ALEPH, DELPHI, L3 and OPAL, collected data of about 175 /pb per experiment at the center-of-mass energy of 189 GeV. Using these data, the mass of W boson was directly measured by reconstructing the decay products ... More

A Destabilizing Wall of Skyscraper Sheaves on Ruled SurfacesNov 28 2016We give a completely explicit description of gluing stability conditions on ruled surfaces by introducing gluing perversity. Moreover, we describe a destabilizing wall of skyscraper sheaves on ruled surfaces by deformation of stability conditions glued ... More