In Zhu,Wang and Gao(SIAM J.Sci.Comput.,43(2021),pp.A3009–A3031),we proposed a new framework of troubled-cell indicator(TCI)using K-means clustering and the numerical results demonstrate that it can detect the trouble...In Zhu,Wang and Gao(SIAM J.Sci.Comput.,43(2021),pp.A3009–A3031),we proposed a new framework of troubled-cell indicator(TCI)using K-means clustering and the numerical results demonstrate that it can detect the troubled cells accurately using the KXRCF indication variable.The main advantage of this TCI framework is its great potential of extensibility.In this follow-up work,we introduce three more indication variables,i.e.,the TVB,Fu-Shu and cell-boundary jump indication variables,and show their good performance by numerical tests to demonstrate that the TCI framework offers great flexibility in the choice of indication variables.We also compare the three indication variables with the KXRCF one,and the numerical results favor the KXRCF and the cell-boundary jump indication variables.展开更多
Last year,the Ξ(1620) state,which is cataloged in the Particle Data Group(PDG) with only one star,was reported again in the Ξ-π+final state by the Belle Collaboration.Its properties,such as the spectroscopy and dec...Last year,the Ξ(1620) state,which is cataloged in the Particle Data Group(PDG) with only one star,was reported again in the Ξ-π+final state by the Belle Collaboration.Its properties,such as the spectroscopy and decay width,cannot be simply explained in the context of conventional constituent quark models.This inspires an active discussion on the structure of this resonance.In this paper,we study the radiative decays of the newly observed Ξ(1620) assuming that it is a meson-baryon molecular state of AK and with spin-parity JP=1/2-developed in our previous study.The partial decay widths of the AK-ΣK molecular state into Ξγ and Ξπγ final states through hadronic loops are evaluated using effective Lagrangians.The partial widths for Ξ(1620)^(0)→γΞ is evaluated to be approximately 118.76-174.21 keV,which may be accessible for the LHCb experiment.If Ξ(1620) is aΛK-∑K molecule,the radiative transition strength Ξ(1620)^(0)→γKA is considerably small and the decay width is of the order of 0.01 eV.Future experimental measurements of these processes can be useful to test the molecule interpretations of the Ξ(1620).展开更多
In this work,we study the strong decay of the newly observed P_(cs)(4459),assuming that it is a pureΞcD^(*)molecular state.Considering two possible spin-parity assignments J^(P)=1/2^(−)and J^(P)=3/2^(−),the partial d...In this work,we study the strong decay of the newly observed P_(cs)(4459),assuming that it is a pureΞcD^(*)molecular state.Considering two possible spin-parity assignments J^(P)=1/2^(−)and J^(P)=3/2^(−),the partial decay widths of theΞcD^(*)molecular state into J/ψΛ,D^(−)_(s)Λ^(+)_(c),and DΞ^((′))_(c) final states through hadronic loops are evaluated with the help of the effective Lagrangians.In comparison with the LHCb data,the S-waveD^(*)Ξc molecular with J^(P)=1/2^(−)assignment for P_(cs)(4459)is supported by our study,while the P_(cs)(4459)in spin-parity J^(P)=3/2^(−)case may be explained as an S-wave coupled bound state with lagerΞcD^(*)component.In addition,the calculated partial decay widths with J^(P)=1/2^(−)ΞcD^(*)molecular state picture indicate that allowed decay mode,DΞ′c,may have the biggest branching ratio.The experimental measurements for this strong decay process could be a crucial test for the molecule interpretation of the P_(cs)(4459).展开更多
The baryonΞb(6227)with the quantum number J^P=1/2−is considered as a molecular state composed of aΣb baryon and K¯meson.The partial decay widths of theΣbK¯molecular state intoΞbγandΞ′bγfinal states t...The baryonΞb(6227)with the quantum number J^P=1/2−is considered as a molecular state composed of aΣb baryon and K¯meson.The partial decay widths of theΣbK¯molecular state intoΞbγandΞ′bγfinal states through hadronic loops are evaluated with the help of the effective Lagrangians.The partial widths for theΞb(6227)→γΞb andΞb(6227)→γΞ′b transitions are evaluated at 1.50–1.02 keV and 17.56–24.91 keV,respectively,which may be accessible for the LHCb.Based on our results,we argue that an experimental determination of the radiative decay width ofΞb(6227)is important for the understanding of its intrinsic properties.展开更多
In[35,36],we presented an h-adaptive Runge-Kutta discontinuous Galerkin method using troubled-cell indicators for solving hyperbolic conservation laws.A tree data structure(binary tree in one dimension and quadtree in...In[35,36],we presented an h-adaptive Runge-Kutta discontinuous Galerkin method using troubled-cell indicators for solving hyperbolic conservation laws.A tree data structure(binary tree in one dimension and quadtree in two dimensions)is used to aid storage and neighbor finding.Mesh adaptation is achieved by refining the troubled cells and coarsening the untroubled"children".Extensive numerical tests indicate that the proposed h-adaptive method is capable of saving the computational cost and enhancing the resolution near the discontinuities.In this paper,we apply this h-adaptive method to solve Hamilton-Jacobi equations,with an objective of enhancing the resolution near the discontinuities of the solution derivatives.One-and two-dimensional numerical examples are shown to illustrate the capability of the method.展开更多
Discontinuities usually appear in solutions of nonlinear conservation laws even though the initial condition is smooth,which leads to great difficulty in computing these solutions numerically.The Runge-Kutta discontin...Discontinuities usually appear in solutions of nonlinear conservation laws even though the initial condition is smooth,which leads to great difficulty in computing these solutions numerically.The Runge-Kutta discontinuous Galerkin(RKDG)methods are efficientmethods for solving nonlinear conservation laws,which are highorder accurate and highly parallelizable,and can be easily used to handle complicated geometries and boundary conditions.An important component of RKDG methods for solving nonlinear conservation laws with strong discontinuities in the solution is a nonlinear limiter,which is applied to detect discontinuities and control spurious oscillations near such discontinuities.Many such limiters have been used in the literature on RKDG methods.A limiter contains two parts,first to identify the"troubled cells",namely,those cells which might need the limiting procedure,then to replace the solution polynomials in those troubled cells by reconstructed polynomials which maintain the original cell averages(conservation).[SIAM J.Sci.Comput.,26(2005),pp.995-1013.]focused on discussing the first part of limiters.In this paper,focused on the second part,we will systematically investigate and compare a few different reconstruction strategies with an objective of obtaining the most efficient and reliable reconstruction strategy.This work can help with the choosing of right limiters so one can resolve sharper discontinuities,get better numerical solutions and save the computational cost.展开更多
基金We thank the anonymous reviewers and the editor for their valuable comments and suggestions.The research of Z.Gao is partially supported by the National Key R&D Program of China(No.2021YFF0704002)The four authors,Z.Wang,Z.Gao,H.Wang and H.Zhu,want to acknowledge the funding support by NSFC grant No.11871443+3 种基金The research of Z.Wang and H.Zhu is also partially sponsored by NUPTSF(Grant No.NY220040)Natural Science Foundation of Jiangsu Province of China(No.BK20191375)Postgraduate Research&Practice Innovation Program of Jiangsu Province under Grant No.KYCX200787The research of Q.Zhang is partially supported by NSFC grant No.12071214.
文摘In Zhu,Wang and Gao(SIAM J.Sci.Comput.,43(2021),pp.A3009–A3031),we proposed a new framework of troubled-cell indicator(TCI)using K-means clustering and the numerical results demonstrate that it can detect the troubled cells accurately using the KXRCF indication variable.The main advantage of this TCI framework is its great potential of extensibility.In this follow-up work,we introduce three more indication variables,i.e.,the TVB,Fu-Shu and cell-boundary jump indication variables,and show their good performance by numerical tests to demonstrate that the TCI framework offers great flexibility in the choice of indication variables.We also compare the three indication variables with the KXRCF one,and the numerical results favor the KXRCF and the cell-boundary jump indication variables.
基金Supported by the Science and Technology Research Program of Chongqing Municipal Education Commission (KJQN201800510)the Opened Fund of the State Key Laboratory on Integrated Optoelectronics (IOSKL2017KF19).+2 种基金support from the Development and Exchange Platform for the Theoretic Physics of Southwest Jiaotong University (11947404, 12047576)the Fundamental Research Funds for the Central Universities (2682020CX70)the National Natural Science Foundation of China (12005177)
文摘Last year,the Ξ(1620) state,which is cataloged in the Particle Data Group(PDG) with only one star,was reported again in the Ξ-π+final state by the Belle Collaboration.Its properties,such as the spectroscopy and decay width,cannot be simply explained in the context of conventional constituent quark models.This inspires an active discussion on the structure of this resonance.In this paper,we study the radiative decays of the newly observed Ξ(1620) assuming that it is a meson-baryon molecular state of AK and with spin-parity JP=1/2-developed in our previous study.The partial decay widths of the AK-ΣK molecular state into Ξγ and Ξπγ final states through hadronic loops are evaluated using effective Lagrangians.The partial widths for Ξ(1620)^(0)→γΞ is evaluated to be approximately 118.76-174.21 keV,which may be accessible for the LHCb experiment.If Ξ(1620) is aΛK-∑K molecule,the radiative transition strength Ξ(1620)^(0)→γKA is considerably small and the decay width is of the order of 0.01 eV.Future experimental measurements of these processes can be useful to test the molecule interpretations of the Ξ(1620).
基金supported by the Science and Technology Research Program of Chongqing Municipal Education Commission(Grant No.KJQN201800510)the Opened Fund of the State Key Laboratory on Integrated Optoelectronics(Grant No.IOSKL2017KF19)+2 种基金the support from the Development and Exchange Platform for the Theoretic Physics of Southwest Jiaotong University(Grant Nos.11947404,and 12047576)Fundamental Research Funds for the Central Universities(Grant No.2682020CX70)National Natural Science Foundation of China(Grant No.12005177)。
文摘In this work,we study the strong decay of the newly observed P_(cs)(4459),assuming that it is a pureΞcD^(*)molecular state.Considering two possible spin-parity assignments J^(P)=1/2^(−)and J^(P)=3/2^(−),the partial decay widths of theΞcD^(*)molecular state into J/ψΛ,D^(−)_(s)Λ^(+)_(c),and DΞ^((′))_(c) final states through hadronic loops are evaluated with the help of the effective Lagrangians.In comparison with the LHCb data,the S-waveD^(*)Ξc molecular with J^(P)=1/2^(−)assignment for P_(cs)(4459)is supported by our study,while the P_(cs)(4459)in spin-parity J^(P)=3/2^(−)case may be explained as an S-wave coupled bound state with lagerΞcD^(*)component.In addition,the calculated partial decay widths with J^(P)=1/2^(−)ΞcD^(*)molecular state picture indicate that allowed decay mode,DΞ′c,may have the biggest branching ratio.The experimental measurements for this strong decay process could be a crucial test for the molecule interpretation of the P_(cs)(4459).
基金supported by the Development and Exchange Platform for Theoretic Physics of Southwest Jiaotong University in 2020(11947404)We ac-knowledge the supported by the National Science Foundation of Chongqing(cstc2019jcyj-msxm0953)+1 种基金the Science and Technology Research Program of Chongqing Municipal Education Commission(KJQN201800510)supported by the Fundamental Research Funds for the Central Universities(2682020CX70)。
文摘The baryonΞb(6227)with the quantum number J^P=1/2−is considered as a molecular state composed of aΣb baryon and K¯meson.The partial decay widths of theΣbK¯molecular state intoΞbγandΞ′bγfinal states through hadronic loops are evaluated with the help of the effective Lagrangians.The partial widths for theΞb(6227)→γΞb andΞb(6227)→γΞ′b transitions are evaluated at 1.50–1.02 keV and 17.56–24.91 keV,respectively,which may be accessible for the LHCb.Based on our results,we argue that an experimental determination of the radiative decay width ofΞb(6227)is important for the understanding of its intrinsic properties.
基金supported by NSFC grant 10931004,11126287,11201242NJUPT grant NY211029ISTCP of China grant No.2010DFR00700。
文摘In[35,36],we presented an h-adaptive Runge-Kutta discontinuous Galerkin method using troubled-cell indicators for solving hyperbolic conservation laws.A tree data structure(binary tree in one dimension and quadtree in two dimensions)is used to aid storage and neighbor finding.Mesh adaptation is achieved by refining the troubled cells and coarsening the untroubled"children".Extensive numerical tests indicate that the proposed h-adaptive method is capable of saving the computational cost and enhancing the resolution near the discontinuities.In this paper,we apply this h-adaptive method to solve Hamilton-Jacobi equations,with an objective of enhancing the resolution near the discontinuities of the solution derivatives.One-and two-dimensional numerical examples are shown to illustrate the capability of the method.
基金The research was partially supported by NSFC grant 10931004,11126287,11201242,NJUPT grant NY211029 and ISTCP of China grant No.2010DFR00700.The authors would like to thank the referees for the helpful suggestions.
文摘Discontinuities usually appear in solutions of nonlinear conservation laws even though the initial condition is smooth,which leads to great difficulty in computing these solutions numerically.The Runge-Kutta discontinuous Galerkin(RKDG)methods are efficientmethods for solving nonlinear conservation laws,which are highorder accurate and highly parallelizable,and can be easily used to handle complicated geometries and boundary conditions.An important component of RKDG methods for solving nonlinear conservation laws with strong discontinuities in the solution is a nonlinear limiter,which is applied to detect discontinuities and control spurious oscillations near such discontinuities.Many such limiters have been used in the literature on RKDG methods.A limiter contains two parts,first to identify the"troubled cells",namely,those cells which might need the limiting procedure,then to replace the solution polynomials in those troubled cells by reconstructed polynomials which maintain the original cell averages(conservation).[SIAM J.Sci.Comput.,26(2005),pp.995-1013.]focused on discussing the first part of limiters.In this paper,focused on the second part,we will systematically investigate and compare a few different reconstruction strategies with an objective of obtaining the most efficient and reliable reconstruction strategy.This work can help with the choosing of right limiters so one can resolve sharper discontinuities,get better numerical solutions and save the computational cost.
