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Where are $χ_{cJ}(3P)$?Nov 01 2016Dec 08 2016In the present work, we propose $Y(4140)$ as the $\chi_{c1}(3P)$ state by studying the $\chi_{c1} \pi^+ \pi^-$ invariant mass spectrum of the $B\to K \chi_{c1} \pi^+ \pi^-$ process. In the $D\bar{D}$ invariant mass spectrum of the $B\to K D\bar{D}$ process, ... More

$Z_b(10610)$ and $Z_b(10650)$ structures produced by the initial single pion emission in the $Υ(5S)$ decaysJun 20 2011Oct 08 2011We propose an unique mechanism called {\it Initial Single Pion Emission} existing in the $\Upsilon(5S)$ decays, and further study the line shapes of $d\Gamma(\Upsilon(5S\to \Upsilon(nS)\pi^+\pi^-))/dm_{\Upsilon(nS)\pi^+}$ ($n=1,2,3$) and $d\Gamma(\Upsilon(5S\to ... More

General mathematical analysis on multiple solutions of interfering resonances combinationsJan 05 2019Apr 21 2019When fitting cross sections with several resonances or interfering background and resonances, one usually obtains multiple solutions of parameters with equal fitting quality. In the present work, we find the source of multiple solutions for a combination ... More

Interpretation of $Y(4390)$ as an isoscalar partner of $Z(4430)$ from $D^*(2010)\bar{D}_1(2420)$ interactionApr 27 2017Jun 13 2017Invoked by the recent observation of $Y(4390)$ at BESIII, which is about 40 MeV below the $D^*(2010)\bar{D}_1(2420)$ threshold, we investigate possible bound and resonance states from the $D^*(2010)\bar{D}_1(2420)$ interaction with the one-boson-exchange ... More

$Z_c(3900)/Z_c(3885)$ as a virtual state from $πJ/ψ-\bar{D}^*D$ interactionDec 15 2017Dec 23 2017In this work, we study the $J/\psi\pi$ and $\bar{D}^*D$ invariant mass spectra of the $Y(4260)$ decay to find out the origin of the $Z_c(3900)$ and $Z_c(3885)$ structures. The $J/\psi \pi-\bar{D}^{*}D$ interaction is studied in a coupled-channel quasipotential ... More

Charged bottomonium-like structures $Z_b(10610)$ and $Z_b(10650)$Oct 20 2011The observation of two charged bottomonium-like structures $Z_b(10610)$ and $Z_b(10650)$ has stimulated extensive studies of the properties of $Z_b(10610)$ and $Z_b(10650)$. In this talk, we briefly introduce the research status of $Z_b(10610)$ and $Z_b(10650)$ ... More

Predicted charged charmonium-like structures in the hidden-charm dipion decay of higher charmoniaJun 27 2011Aug 04 2011In this work, we predict two charged charmonium-like structures close to the $D^\ast\bar{D}$ and $D^\ast\bar{D}^\ast$ thresholds, where the Initial Single Pion Emission mechanism is introduced in the hidden-charm dipion decays of higher charmonia $\psi(4040)$, ... More

A general mathematical analysis on multiple solutions of interfering resonances combinationsJan 05 2019When fitting the cross sections with the coherent sum of several Breit-Wigner functions or interferencing background and resonances, one can usually find multiple solutions of parameters with equally fitting quality. In the present work, we find the source ... More

The electromagnetic form factors of $Λ$ hyperon in the vector meson dominance modelFeb 04 2019We perform an analysis on the electromagnetic form factors of the $\Lambda$ hyperon in the time-like reaction $e^+e^-\rightarrow \Lambda\bar\Lambda$ by using a modified vector meson dominance model. We consider both the intrinsic structure components ... More

Possible $B^{(\ast)} \bar{K}$ hadronic molecule stateMar 01 2016In the present work, we estimate the decays of the $X(5568)$ and $X(5616)$ in a $B \bar{K}$ and a $B^\ast \bar{K}$ $S$-wave hadronic molecule scenarios, respectively, which may corresponding to the structure observed by D0 Collaboration. Our estimation ... 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

New structure around 3250 MeV in the baryonic B decay and the $D^*_0(2400)N$ molecular hadronApr 28 2012Aug 04 2012In this work, we first propose the isovector $nD^{*}_0(2400)^0$ molecular state to explain the enhancement structure around 3250 MeV ($X_c(3250)^0$) in the $\Sigma_c^{++}\pi^-\pi^-$ invariant mass spectrum newly observed by the BaBar Collaboration. Under ... 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

A novel explanation of charmonium-like structure in $e^+e^-\to ψ(2S)π^+π^-$Jan 13 2011Mar 25 2011We first present a non-resonant description to charmonium-like structure $Y(4360)$ in the $\psi(2S)\pi^+\pi^-$ invariant mass spectrum of the $e^+e^-\to \psi(2S)\pi^+\pi^-$ process. The $Y(4360)$ structure is depicted well by the interference effect of ... 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

Nucleon Form Factors in a Light-Cone Quark Model with Two-Photon ExchangeJul 01 2009Aug 07 2009We estimate the two-photon exchange corrections to both proton and neutron electromagnetic physical observables in a relativistic light cone quark model. At a fixed momentum transfer the corrections are found to be small in magnitudes, but with a strong ... More

Nonresonant explanation for the Y(4260) structure observed in the $e^+e^-\to J/ψπ^+π^-$ processDec 24 2010Feb 28 2011In this work, we proposed a nonresonant explanation for the Y(4260) structure observed in the $e^+e^-\to J/\psi\pi^+\pi^-$ process, i.e., Y(4260) is not a genuine resonance. Our result indicates that the Y(4260) structure can be reproduced by the interference ... 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

Two-photon Exchange Corrections to Single Spin Asymmetry of Neutron and $^3$HeNov 26 2009In a simple hadronic model, the two-photon exchange contributions to the single spin asymmetries for the nucleon and the $^3$He are estimated. The results show that the elastic contributions of two-photon exchange to the the single spin asymmetries for ... More

Prediction of anomalous $Υ(5S)\toΥ(1^3D_J)η$ transitionsNov 08 2016In this work, we study the hadronic loop contribution to the $\Upsilon(5S)\to \Upsilon(1^3D_J)\eta$ ($J=1,2,3$) transitions. We predict that the branching ratios of $\Upsilon(5S)\to \Upsilon(1^3D_1)\eta$, $\Upsilon(5S)\to \Upsilon(1^3D_2)\eta$ and $\Upsilon(5S)\to ... 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

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

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

Radiative decays of the neutral $Z_c(3900)$Oct 03 2015Jan 08 2016We study the radiative decays of the $Z_c(3900)^0$ in a hadronic molecule picture, where the $Z_c(3900)$ is treated as a $D \bar{D}^\ast +c.c$ hadronic molecule. The partial widths of $\Gamma(Z_c(3900)^0 \to \gamma \eta_c(2S))$ and $\Gamma(Z_c(3900)^0 ... More

Does the bottomonium counterpart of $X(3872)$ exist?Oct 08 2018Using the extended Friedrichs scheme, we study the bottomonium counterpart of $X(3872)$, $X_b$. In this scheme, a dynamically generated virtual state below the $B\bar B^*$ threshold is found, and there is a narrow lineshape peak at about 10615 MeV, just ... More

Radiative and pionic transitions from the $D_{s1}(2460)$ to the $D_{s0}^\ast(2317)$Jan 24 2016May 13 2016We estimate the partial widths for the radiative and pionic transitions from the $D_{s1}(2460)$ to the $D_{s0}(2317)$ in a molecule scenario, in which the $D_{s1}(2460)$ and $D_{s0}^\ast(2317)$ are considered as hadronic molecule states of $DK$ and $D^\ast ... More

Production of the $Z_b^{(\prime)}$ states from the $Υ(5S,6S)$ decaysOct 23 2018Feb 28 2019In the present work, we investigate the production mechanism of the $Z_b(10610)$ and $Z_b(10650)$ states from the $\Upsilon(5S,6S)$ decays. Two types of bottom-meson loops are discussed. We show that the loop contributions with all intermediate states ... 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

Dipion invariant mass distribution of the anomalous $Υ(1S) π^{+} π^{-}$ and $Υ(2S) π^{+} π^{-}$ production near the peak of $Υ(10860)$May 09 2011Sep 14 2011Considering the defects of the previous work for estimating the anomalous production rates of $e^+e^-\to \Upsilon(1S)\pi^+\pi^-,\,\Upsilon(2S)\pi^+\pi^-$ near the peak of the $\Upsilon(5S)$ resonance at $\sqrt s=10.87$ GeV [K.F. Chen {\it et al}. (Belle ... More

Production of $Z_c(3900$) and $Z_c(4020)$ in $B_c$ decayFeb 15 2019In the present work, we propose to search the charmonium-like states $Z_c(3900$) and $Z_c(4020)$ in the $B_c$ decay. In an effective Lagrangian approach, the branching ratios of $B_c^+ \to Z_c(3900)^+ \pi^0$ and $B_c^+\to Z_c (4020)^+ \pi^0$ are estimated ... More

Understanding the branching ratios of χ_{c1}\toφφ, ωω, ωφobserved at BES-IIIDec 24 2009Mar 17 2010In this work, we discuss the contribution of the mesonic loops to the decay rates of $\chi_{c1}\to \phi\phi,\,\omega\omega$ which are suppressed by the helicity selection rules and $\chi_{c1}\to \phi\omega$ which is a double-OZI forbidden process. We ... 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

Convolutional neural networks with fractional order gradient methodMay 14 2019This paper proposes a fractional order gradient method for the backward propagation of convolutional neural networks. To overcome the problem that fractional order gradient method cannot converge to real extreme point, a simplified fractional order gradient ... 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

$Δ$ contribution in $e^+ + e^- \to p + \bar{p}$ at small $s$Mar 02 2009Two-photon annihilate contributions in the process $e^+ + e^- \to p + \bar{p}$ including $N$ and $\Delta$ intermediate are discussed in a simple hadronic model. The corrections to the unpolarized cross section and polarized observables $P_x,P_z$ are presented. ... More

Anomalous dipion invariant mass distribution of the $Υ(4S)$ decays into $Υ(1S) π^{+} π^{-}$ and $Υ(2S) π^{+} π^{-}$Sep 07 2011Nov 11 2011To solve the discrepancy between the experimental data on the partial widths and lineshapes of the dipion emission of $\Upsilon(4S)$ and the theoretical predictions, we suggest that there is an additional contribution which was not taken into account ... 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

Possible hadronic molecular states composed of $S$-wave heavy-light mesonsFeb 15 2017We perform a systematical study of possible molecular states composed of the $S$ wave heavy light mesons, where the $S-D$ mixing and {$\eta-\eta^{\prime}$ mixing} are explicitly included. Our calculation indicates that the observed $X(3872)$ could be ... More

Long-distant contribution and $χ_{c1}$ radiative decays to light vector mesonMay 01 2010Sep 08 2010The discrepancy between the PQCD calculation and the CLEO data for $\chi_{c1}\to \gamma V$ ($V=\rho^0,\,\omega,\,\phi$) stimulates our interest in exploring extra mechanism of $\chi_{c1}$ decay. In this work, we apply an important non-perturbative QCD ... More

Hidden-strange molecular states and the $Nφ$ bound state via a QCD van der Waals forceApr 25 2018Nov 14 2018In this work, we study the hidden-strange molecular states composed of a baryon and a vector meson in a coupled-channel $N\rho-N\omega-N\phi-\Lambda K^*-\Sigma K^*$ interaction. With the help of the effective Lagrangians which coupling constants are determined ... 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

Production of $Z_c(3900$) and $Z_c(4020)$ in $B_c$ decayFeb 15 2019Mar 28 2019In the present work, we propose to search the charmonium-like states $Z_c(3900$) and $Z_c(4020)$ in the $B_c$ decay. In an effective Lagrangian approach, the branching ratios of $B_c^+ \to Z_c(3900)^+ \pi^0$ and $B_c^+\to Z_c (4020)^+ \pi^0$ are estimated ... More

Charged bottomonium-like states $Z_b(10610)$ and $Z_b(10650)$ and the $Υ(5S)\to Υ(2S)π^+π^-$ decayMay 26 2011Sep 17 2011Inspired by the newly observed two charged bottomonium-like states, we consider the possible contribution from the intermediate $Z_b(10610)$ and $Z_b(10650)$ states to the $\Upsilon(5S)\to \Upsilon(2S)\pi^+\pi^-$ decay process, which naturally explains ... More

$Y(4320)$ and $Y(4390)$ as the candidate for $ψ(3^3D_1)$ charmoniumApr 02 2018Inspired by the recent observations of $Y(4320)$ and $Y(4390)$, we evaluate the possibility of these two charmonium-like states as $\psi(3^3D_1)$ by investigating their open charm decays in quark-pair creation model. In the present work, our estimations ... More

Optical Theorem, cutting rules and unstable particle's decay widthFeb 10 2004Jul 23 2004This manuscript has been removed duo to incorrect contents.

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 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

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

Higher bottom and bottom-strange mesonsJan 08 2014Mar 21 2014Motivated by the recent observation of the orbital excitation $B(5970)$ by CDF collaboration, we have performed a systematical study of the mass spectrum and strong decay patterns of the higher $B$ and $B_s$ mesons. Hopefully the present investigation ... More

Unified Fano-like interference picture for charmonium-like states $Y(4008)$, $Y(4260)$ and $Y(4360)$Dec 14 2015Jan 06 2016We propose that the unified Fano-like interference picture applies to $e^+e^-\to \pi^+\pi^- J/\psi$ and $e^+e^-\to \pi^+\pi^- \psi(3686)$, where $Y(4260)$ and $Y(4360)$ are observed, respectively, to provide a reasonable interpretation of the asymmetric ... More

Using $X(3823)\to J/ψπ^+π^-$ to identify coupled-channel effectsJul 28 2015Feb 02 2016Very recently, the Belle and BESIII experiments observed a new charmonium-like state $X(3823)$, which is a good candidate for the $D$-wave charmonium $\psi(1^3D_2)$. Because the $X(3823)$ is just near the $D\bar{D}^*$ threshold, the decay $X(3823)\to ... 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

Partial decay widths of $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$ into $J/ψp$ in a molecular scenarioApr 01 2019In the present work, we assign the newly observed $P_c(4312)$ as a $I(J^P)= \frac{1}{2} (\frac{1}{2})^-$ molecular state composed of $\Sigma_c \bar{D}$, while $P_c(4440)$ and $P_c(4457)$ as $\Sigma_c \bar{D}^\ast$ molecular states with $I(J^P)= \frac{1}{2} ... 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

Singularities of Feynman amplitude and cutting rulesJul 23 2004Dec 17 2004The contents of this manuscript has been moved to hep-ph/0412204.

Study on the rare decays of $Y(4630)$ induced by final state interactionsFeb 06 2016Feb 18 2016A resonance $Y(4630)$ at the invariant mass spectrum of $\Lambda_c \bar\Lambda_c$ observed by the Belle Collaboration triggers a hot discussion about its inner structure. Since it preferably decays into two charmed baryons $\Lambda_c\bar\Lambda_c$, it ... More

The Gauge Dependence of Imaginary Part of physical amplitude $W^{+}\to u_i \bar{d}_j$ in Quark Mixing Matrix RenormalizationDec 23 2003Mar 05 2004We investigate the current renormalization prescriptions of quark mixing matrix and found that there is gauge dependence in the imaginary part of physical amplitude $W^{+}\to u_i \bar{d}_j$ in two main renormalization prescriptions. Our conclusion may ... More

Product Formula, Independence and Asymptotic Moment-Independence for Complex Multiple Wiener-Ito IntegralsDec 05 2014We present the product formula for complex multiple Wiener-Ito integrals. As applications, we show the Ustunel-Zakai independent criterion, the Nourdin-Rosinski asymptotic moment-independent criterion and joint convergence criterion for complex multiple ... More

Complex Wiener-Itô Chaos Decomposition RevisitedFeb 25 2019In this article, some properties of complex Wiener-It\^o multiple integrals and complex Ornstein-Uhlenbeck operators and semigroups are obtained. Those include Stroock's formula, Hu-Meyer formula, Clark-Ocone formula and the hypercontractivity of complex ... More

On the eigenfunctions of the complex Ornstein-Uhlenbeck operatorsSep 22 2012Dec 09 2012Starting from the 1-dimensional complex-valued Ornstein-Uhlenbeck process, we present two natural ways to imply the associated eigenfunctions of the 2-dimensional normal Ornstein-Uhlenbeck operators in the complex Hilbert space $L_{\Cnum}^2(\mu)$. We ... More

On the fourth moment theorem for the complex multiple Wiener-Itô integralsAug 08 2014In this paper, a product formula of Hermite polynomials is given and then the relation between the real Wiener-It\^{o} chaos and the complex Wiener-It\^{o} chaos (or: multiple integrals) is shown. By this relation and the known multivariate extension ... More

Constructing Intrinsic Delaunay Triangulations from the Dual of Geodesic Voronoi DiagramsMay 21 2015Intrinsic Delaunay triangulation (IDT) is a fundamental data structure in computational geometry and computer graphics. However, except for some theoretical results, such as existence and uniqueness, little progress has been made towards computing IDT ... More

On a nonsymmetric Ornstein-Uhlenbeck semigroup and its generatorNov 25 2013If we add a simple rotation term to both the Ornstein-Uhlenbeck semigroup and the definition of the H-derivative, then analogue to the classical Malliavin calculus on the real Wiener space [I. Shigekawa, Stochastic analysis, 2004], we get a normal but ... More

Adaptive backstepping control for FOS with nonsmooth nonlinearitiesJan 17 2019This paper proposes an original solution to input saturation and dead zone of fractional order system. To overcome these nonsmooth nonlinearities, the control input is decomposed into two independent parts by introducing an intermediate variable, and ... More

On the reversibility of the observed process of three-state hidden Markov modelJan 28 2011For the continuous-time and the discrete-time three-state hidden Markov model, the flux of the likelihood function up to 3-dimension of the observed process is shown explicitly. As an application, the sufficient and necessary condition of the reversibility ... More

Product Formula, Independence and Asymptotic Moment-Independence for Complex Multiple Wiener-Ito IntegralsDec 05 2014Oct 25 2016We present the product formula for complex multiple Wiener-Ito integrals. As applications, we show the Ustunel-Zakai independent criterion, the Nourdin-Rosinski asymptotic moment-independent criterion and joint convergence criterion for complex multiple ... More

Where are $χ_{cJ}(3P)$?Nov 01 2016In the present work, we propose the $Y(4140)$ as the $\chi_{c1}(3P)$ state by studying the $\chi_{c1} \pi^+ \pi^-$ invariant mass spectrum of the $B\to K \chi_{c1} \pi^+ \pi^-$ process. In the $D\bar{D}$ invariant mass spectrum of the $B\to K D\bar{D}$ ... More

Feasible superadiabatic-based shortcuts for fast generating 3D entanglement between two atomsJan 03 2017We propose a scheme to realize fast generation of three-dimensional entanglement between two atoms via superadiabatic-based shortcuts in an atom-cavity-fiber system. The scheme is experimentally feasible because of the same form of the counterdiabatic ... More

On the Imbedding Problem for Three-state Time Homogeneous Markov Chains with Coinciding Negative EigenvaluesSep 11 2010For an indecomposable $3\times 3$ stochastic matrix (i.e., 1-step transition probability matrix) with coinciding negative eigenvalues, a new necessary and sufficient condition of the imbedding problem for time homogeneous Markov chains is shown by means ... More

A study on the radiative dileptonic decays $B^0(B_s)\toγ\ell^+\ell^-$Nov 20 2006Nov 29 2006We study the rare radiative dileptonic decays $B^0(B_s)\to \gamma\ell^+\ell^-$ ($\ell=e,\mu$) in the standard model. By using the $B$ meson wave function constrained by non-leptonic decays, the branching ratios turn out to be of the order of $10^{-9}$ ... More

Early Fire Detection Using HEP and Space-time AnalysisOct 07 2013In this article, a video base early fire alarm system is developed by monitoring the smoke in the scene. There are two major contributions in this work. First, to find the best texture feature for smoke detection, a general framework, named Histograms ... More

A systemic method to construct the high order nonlocal symmetriesDec 26 2012We propose a systemic method of applying the auxiliary systems of original equations to find the high order nonlocal symmetries of nonlinear evolution equation. In order to validate the effectiveness of the method, some examples are presented.

The Morrey-Kohn-Hörmander formula implies the twisted Morrey-Kohn-Hörmander formulaOct 11 2013Oct 15 2013We observe that the twisted Morrey-Kohn-H\"ormander formula can be deduced directly from the Morrey-Kohn-H\"ormander formula.

A simple proof of the Ohsawa-Takegoshi extension theoremMay 12 2011We give a direct proof of the Ohsawa-Takegoshi by solving directly the d-bar equation.

Weighted Bergman kernel, directional Lelong number and John-Nirenberg exponentSep 03 2018Let $\psi$ be a plurisubharmonic function on the closed unit ball and $K_{t\psi}(z)$ the Bergman kernel on the unit ball with respect to the weight $t\psi$. We show that the boundary behavior of $K_{t\psi}(z)$ is determined by certain directional Lelong ... More

Hardy-Sobolev type inequalities and their applicationsDec 06 2017Jan 31 2018This paper is devoted to various applications of Hardy-Sobolev type inequalities. We derive a new $L^2$ estimate for the $\bar{\partial}-$equation on ${\mathbb C}^n$ which yields a quantitative generalization of the Hartogs extension theorem to the case ... More

Dynamics of high-order solitons in the nonlocal nonlinear Schrödinger equationsFeb 15 2018A study of high-order solitons in three nonlocal nonlinear Schr\"{o}dinger equations is presented, which includes the \PT-symmetric, reverse-time, and reverse-space-time nonlocal nonlinear Schr\"{o}dinger equations. General high-order solitons in three ... More

Darboux transformation of nonisospectral coupled Gross-Pitaevskii equation and its multi-component generalizationApr 24 2017We extend one component Gross-Pitaevskii equation to two component coupled case with the damping term, linear and parabolic density profiles, then give the Lax pair and infinitely-many conservations laws of this coupled system. The system is nonautonomous, ... More

On $AP_3$ - covering sequencesNov 01 2017Recently, motivated by Stanley sequences, Kiss, S\' andor and Yang introduced a new type sequence: a sequence $A$ of nonnegative integers is called an $AP_k$ - covering sequence if there exists an integer $n_0$ such that if $n > n_0$, then there exist ... More

Dynamics of Rogue Waves in the Partially PT-symmetric Nonlocal Davey-Stewartson SystemsOct 19 2017In this work, we study the dynamics of rogue waves in the partially $\cal{PT}$-symmetric nonlocal Davey-Stewartson(DS) systems. Using the Darboux transformation method, general rogue waves in the partially $\cal{PT}$-symmetric nonlocal DS equations are ... More

Berry-Esséen bound for the Parameter Estimation of Fractional Ornstein-Uhlenbeck Processes with the Hurst Parameter $H\in (0,1/2)$Oct 04 2018Nov 05 2018For an Ornstein-Uhlenbeck process driven by a fractional Brownian motion with Hurst parameter 0<H<1/2, one shows the Berry-Ess\'een bound of the least squares estimator of the drift parameter. Thus, a problem left in the previous paper (Chen, Kuang and ... More

On the Jordan decomposition for a class of non-symmetric Ornstein-Uhlenbeck operatorsDec 09 2012Feb 20 2013In this paper, we calculate the Jordan decomposition (or say, the Jordan canonical form) for a class of non-symmetric Ornstein-Uhlenbeck operators with the drift coefficient matrix being a Jordan block and the diffusion coefficient matrix being identity ... More

Modulation instability and controllable rogue waves with multiple compression points for periodically modulated coupled Hirota equationsDec 25 2015Based on modulation instability analysis and generalized Darboux transformation, we derive a hierarchy of rogue wave solutions for a variable-coefficients coupled Hirota equations. The explicit first-order rogue wave solution is presented, and the dark-bright ... More

Transient Dynamics of Sparsely Connected Hopfield Neural Networks with Arbitrary Degree DistributionsApr 08 2007Dec 07 2007Using probabilistic approach, the transient dynamics of sparsely connected Hopfield neural networks is studied for arbitrary degree distributions. A recursive scheme is developed to determine the time evolution of overlap parameters. As illustrative examples, ... More

Supplement to $L^2$ theory of $\bar{\partial}$ on complete Kähler domainsJul 09 2014Apr 04 2016We introduce a trick of dealing with $L^2$ estimates of $\bar{\partial}$ with singular weights on complete K\"ahler domains.

Weighted Bergman spaces and the $\bar{\partial}-$equationDec 17 2012Mar 28 2013We give a H\"ormander type $L^2-$estimate for the $\bar{\partial}-$equation with respect to the measure $\delta_\Omega^{-\alpha}dV$, $\alpha<1$, on any bounded pseudoconvex domain with $C^2-$boundary. Several applications to the function theory of weighed ... More

Bergman kernel and hyperconvexity indexOct 22 2016Apr 25 2017Let $\Omega\subset {\mathbb C}^n$ be a bounded domain with the hyperconvexity index $\alpha(\Omega)>0$. Let $\varrho$ be the relative extremal function of a fixed closed ball in $\Omega$ and set $\mu:=|\varrho|(1+|\log|\varrho||)^{-1}$, $\nu:=|\varrho|(1+|\log|\varrho||)^n$. ... More

A note on the Moment of Complex Wiener-Ito IntegralsJun 19 2017For a sequence of complex Wiener-Ito multiple integrals, the equivalence between the convergence of the symmetrized contraction norms and that of the non-symmetrized contraction norms is shown directly by means of a new version of complex Mallivian calculus ... More