Here,we study the production of charmonium pentaquarks cc¯qqq from bottom baryon and B-meson decays under the flavor SU(3)symmetry.Decay amplitudes for various processes are parameterized in terms of SU(3)irreduc...Here,we study the production of charmonium pentaquarks cc¯qqq from bottom baryon and B-meson decays under the flavor SU(3)symmetry.Decay amplitudes for various processes are parameterized in terms of SU(3)irreducible nonperturbative amplitudes.Numerous relations between decay widths are deduced.Moreover,the strong decays of pentaquarks are considered.Our results can be tested in future measurements at LHCb,Belle II,and CEPC.Once decay branching fractions are measured,this study will be useful for the exploration of new decay channels and pentaquark states.展开更多
The global SU(3)color symmetry and its physical consequences are discussed.The Nother current is actually governed by the conserved matter current of color charges if the color field generated by this charge is proper...The global SU(3)color symmetry and its physical consequences are discussed.The Nother current is actually governed by the conserved matter current of color charges if the color field generated by this charge is properly polarized.The color field strength of a charge can have a uniform part due to the nontrivial QCD vacuum field and the nonzero gluon condensate,which implies that the self-energy of a system with a net color charge is infinite and,therefore,cannot exist as a free state.This is precisely what color confinement means.Accordingly,the Cornell type potential with the feature of Casimir scaling is derived for a color singlet system composed of a static color charge and an anti-charge.The uniform color field also implies that a hadron has a minimal size and minimal energy.Furthermore,the global S U(3)color symmetry requires that the minimal irreducible color singlet systems can only be qq,qqq,gg,ggg,qqg,qqqg,qqqg,etc.,therefore a multi-quark system can only exist as a molecular configuration if there are no other binding mechanisms.展开更多
Magnetic moments of octet baryons are parameterized to all orders of the flavor SU （3） breaking with the irreducible tensor technique in order to extract the contribution of each flavor quark to the magnetic moments...Magnetic moments of octet baryons are parameterized to all orders of the flavor SU （3） breaking with the irreducible tensor technique in order to extract the contribution of each flavor quark to the magnetic moments of the octet baryons. The not-yet measured magnetic moment of Σ 0 is predicted to be 0.649 μ N . Our parameterized forms for the magnetic moments are explicitly f lavor-dependent, and hence each flavor component of the magnetic moments can be evaluated directly via the flavor projection operator. It is found that the strange magnetic moment of the nucleon is suppressed due to the small isoscalar anomalous magnetic moment of the nucleon. In particular, the strange magnetic form factor of the nucleon turns out to be positive, G （s） N （0） = 0.428 μ N , which is consistent with recent data.展开更多
Flavor SU（3） analysis of B meson charmless hadronic two light pseudoscalar decays can be formulated in two different ways. One is to construct the SU（3） irreducible representation amplitude （IRA） according to ef...Flavor SU（3） analysis of B meson charmless hadronic two light pseudoscalar decays can be formulated in two different ways. One is to construct the SU（3） irreducible representation amplitude （IRA） according to effective Hamiltonian transformation properties, and the other is to draw the topological diagrams （TDA）. We first point out that previous analyses of TDA and IRA approaches do not match in several aspects, in particular a few SU（3） independent amplitudes have been overlooked in the TDA approach. This has caused confusions in the past and sometimes resulted in incorrect interpretation of data. We then demonstrate that only if these amplitudes are included, a consistent and unified picture can be obtained. With the new TDA amplitudes, all charmless hadronic decays of heavy meson must have nonzero direct CP symmetries as already predicted by the IRA approach. In addition to their notable impact on CP asymmetry, the new amplitudes are also important to extract new physics information.展开更多
The interacting boson model with S U(3) higher-order interactions offers a new route to enhance our understanding onγ-soft rotation.In this paper, U(5) -like and O(6) -like newγ-softness are observed,in which the co...The interacting boson model with S U(3) higher-order interactions offers a new route to enhance our understanding onγ-soft rotation.In this paper, U(5) -like and O(6) -like newγ-softness are observed,in which the corresponding energy levels in the ground and quasi-γbands can be exactly degenerate and have a partial O(5) dynamical symmetry.The spherical-likeγ-softness is not related to the classical O(6) dynamical symmetry.The transitional behaviors of B(E2) values of the low-lying levels and quadrupole moment of the 2^(+)_(1) state are also discussed.Spherical-likeγ-softness can be used to explain the low-lying spectra and B(E2) values in ^(110)Cd normal states.展开更多
In this work,we investigate the SU(3)flavor symmetry,heavy quark spin symmetry and their breaking effects in the di-meson systems.We prove the existence of the[D_(s)(*)D_(s)(*)]^(0++),[D_(s)(*)D_(s)(*)]^(1++),and[D_(s...In this work,we investigate the SU(3)flavor symmetry,heavy quark spin symmetry and their breaking effects in the di-meson systems.We prove the existence of the[D_(s)(*)D_(s)(*)]^(0++),[D_(s)(*)D_(s)(*)]^(1++),and[D_(s)(*)D_(s)(*)]^(1++)bound states as the consequence of two prerequisites in the SU(3)flavor symmetry and heavy quark spin symmetry.The first prerequisite,the X(3872)as the weakly D*D=DD*bound state is supported by its mass and decay branching ratios.The second prerequisite,the existence of the DsDs[D_(s)(*)D_(s)(*)]^(0++)bound state is supported by the lattice QCD calculation and the observation of X_(c0)(3930)by the LHCb Collaboration.We hope the future experimental analyses can search for these bound states in the B→[D_(s)(*)D_(s)(*)]h processes(h denotes the light hadrons).The[D_(s)(*)D_(s)(*)]^(0++)bound state is also expected to be reconstructed in the J/ψФinal state in the B→//ψФK decay.展开更多
The energy dependence of the spectral fluctuations in the interacting boson model(IBM)and its connections to the mean-field structures are analyzed by adopting two statistical measures:the nearest neighbor level spaci...The energy dependence of the spectral fluctuations in the interacting boson model(IBM)and its connections to the mean-field structures are analyzed by adopting two statistical measures:the nearest neighbor level spacing distribution P(S)measuring the chaoticity(regularity)in energy spectra and the Δ_(3)(L)statistics of Dyson and Metha measuring the spectral rigidity.Specifically,the statistical results as functions of the energy cutoff are determined for different dynamical scenarios,including the U(5)-SU(3)and SU(3)-O(6)transitions as well as those near the AW arc of regularity.We observe that most of the changes in spectral fluctuations are triggered near the stationary points of the classical potential,particularly for cases in the deformed region of the IBM phase diagram.Thus,the results justify the stationary point effects from the perspective of statistics.In addition,the approximate degeneracies in the 2^(+)spectrum on the AW arc is also revealed from the statistical calculations.展开更多
基金supported in part by the National Natural Science Foundation of China(12105247)the China Postdoctoral Science Foundation(2021M702957)supported in part by the National Natural Science Foundation of China(12005294)。
文摘Here,we study the production of charmonium pentaquarks cc¯qqq from bottom baryon and B-meson decays under the flavor SU(3)symmetry.Decay amplitudes for various processes are parameterized in terms of SU(3)irreducible nonperturbative amplitudes.Numerous relations between decay widths are deduced.Moreover,the strong decays of pentaquarks are considered.Our results can be tested in future measurements at LHCb,Belle II,and CEPC.Once decay branching fractions are measured,this study will be useful for the exploration of new decay channels and pentaquark states.
基金Supported by the Strategic Priority Research Program of Chinese Academy of Sciences (XDB34030302)the National Natural Science Foundation of China(NNSFC)(11935017, 11575196, 12070131001)(CRC 110 by DFG and NSFC)。
文摘The global SU(3)color symmetry and its physical consequences are discussed.The Nother current is actually governed by the conserved matter current of color charges if the color field generated by this charge is properly polarized.The color field strength of a charge can have a uniform part due to the nontrivial QCD vacuum field and the nonzero gluon condensate,which implies that the self-energy of a system with a net color charge is infinite and,therefore,cannot exist as a free state.This is precisely what color confinement means.Accordingly,the Cornell type potential with the feature of Casimir scaling is derived for a color singlet system composed of a static color charge and an anti-charge.The uniform color field also implies that a hadron has a minimal size and minimal energy.Furthermore,the global S U(3)color symmetry requires that the minimal irreducible color singlet systems can only be qq,qqq,gg,ggg,qqg,qqqg,qqqg,etc.,therefore a multi-quark system can only exist as a molecular configuration if there are no other binding mechanisms.
文摘Magnetic moments of octet baryons are parameterized to all orders of the flavor SU （3） breaking with the irreducible tensor technique in order to extract the contribution of each flavor quark to the magnetic moments of the octet baryons. The not-yet measured magnetic moment of Σ 0 is predicted to be 0.649 μ N . Our parameterized forms for the magnetic moments are explicitly f lavor-dependent, and hence each flavor component of the magnetic moments can be evaluated directly via the flavor projection operator. It is found that the strange magnetic moment of the nucleon is suppressed due to the small isoscalar anomalous magnetic moment of the nucleon. In particular, the strange magnetic form factor of the nucleon turns out to be positive, G （s） N （0） = 0.428 μ N , which is consistent with recent data.
基金Supported by National Natural Science Foundation of China(11575110,11575111,11655002,11735010)Natural Science Foundation of Shanghai(15DZ2272100)MOST(MOST104-2112-M-002-015-MY3,106-2112-M-002-003-MY3)
文摘Flavor SU（3） analysis of B meson charmless hadronic two light pseudoscalar decays can be formulated in two different ways. One is to construct the SU（3） irreducible representation amplitude （IRA） according to effective Hamiltonian transformation properties, and the other is to draw the topological diagrams （TDA）. We first point out that previous analyses of TDA and IRA approaches do not match in several aspects, in particular a few SU（3） independent amplitudes have been overlooked in the TDA approach. This has caused confusions in the past and sometimes resulted in incorrect interpretation of data. We then demonstrate that only if these amplitudes are included, a consistent and unified picture can be obtained. With the new TDA amplitudes, all charmless hadronic decays of heavy meson must have nonzero direct CP symmetries as already predicted by the IRA approach. In addition to their notable impact on CP asymmetry, the new amplitudes are also important to extract new physics information.
基金Supported by Science and Technology Research Planning Project of Education Department of Jilin Province(JJKH20210526KJ)。
文摘The interacting boson model with S U(3) higher-order interactions offers a new route to enhance our understanding onγ-soft rotation.In this paper, U(5) -like and O(6) -like newγ-softness are observed,in which the corresponding energy levels in the ground and quasi-γbands can be exactly degenerate and have a partial O(5) dynamical symmetry.The spherical-likeγ-softness is not related to the classical O(6) dynamical symmetry.The transitional behaviors of B(E2) values of the low-lying levels and quadrupole moment of the 2^(+)_(1) state are also discussed.Spherical-likeγ-softness can be used to explain the low-lying spectra and B(E2) values in ^(110)Cd normal states.
基金This project was supported by the National Nat-ural Science Foundation of China(11975033 and 12070131001)This project was also funded by the Deutsche Forschungsgemeinschaft(DFG,German Research Foundation,Project ID 196253076-TRR 110).
文摘In this work,we investigate the SU(3)flavor symmetry,heavy quark spin symmetry and their breaking effects in the di-meson systems.We prove the existence of the[D_(s)(*)D_(s)(*)]^(0++),[D_(s)(*)D_(s)(*)]^(1++),and[D_(s)(*)D_(s)(*)]^(1++)bound states as the consequence of two prerequisites in the SU(3)flavor symmetry and heavy quark spin symmetry.The first prerequisite,the X(3872)as the weakly D*D=DD*bound state is supported by its mass and decay branching ratios.The second prerequisite,the existence of the DsDs[D_(s)(*)D_(s)(*)]^(0++)bound state is supported by the lattice QCD calculation and the observation of X_(c0)(3930)by the LHCb Collaboration.We hope the future experimental analyses can search for these bound states in the B→[D_(s)(*)D_(s)(*)]h processes(h denotes the light hadrons).The[D_(s)(*)D_(s)(*)]^(0++)bound state is also expected to be reconstructed in the J/ψФinal state in the B→//ψФK decay.
基金Supported by National Natural Science Foundation of China(11875158,11875171)。
文摘The energy dependence of the spectral fluctuations in the interacting boson model(IBM)and its connections to the mean-field structures are analyzed by adopting two statistical measures:the nearest neighbor level spacing distribution P(S)measuring the chaoticity(regularity)in energy spectra and the Δ_(3)(L)statistics of Dyson and Metha measuring the spectral rigidity.Specifically,the statistical results as functions of the energy cutoff are determined for different dynamical scenarios,including the U(5)-SU(3)and SU(3)-O(6)transitions as well as those near the AW arc of regularity.We observe that most of the changes in spectral fluctuations are triggered near the stationary points of the classical potential,particularly for cases in the deformed region of the IBM phase diagram.Thus,the results justify the stationary point effects from the perspective of statistics.In addition,the approximate degeneracies in the 2^(+)spectrum on the AW arc is also revealed from the statistical calculations.
