The behavior as t→∞ of solutions of the linear system of elastic equations defined on anon-star-tshaped exterior domains in Rn (n≥3) is discussed.It has showed that the local energydecays with arate of t-1+H (0≤H...The behavior as t→∞ of solutions of the linear system of elastic equations defined on anon-star-tshaped exterior domains in Rn (n≥3) is discussed.It has showed that the local energydecays with arate of t-1+H (0≤H≤1),nonuniformly with respect to the geometrical propertiesof the obstacle.and when n is odd the local energy decays exponentially.For the classical elasticwave,when n=3,the behavior of the solution of the nonhomogeneous system with a right sideterm periodical with respect to time t is discussed.展开更多
In this work,we apply the effective Lagrangian approach to investigate the two-body strong decay behaviors of the possibleΛ_(c)K^(*)andΣ_(c)K^((*))molecules as predicted in our previous study[Phys.Rev.D 108,054011(2...In this work,we apply the effective Lagrangian approach to investigate the two-body strong decay behaviors of the possibleΛ_(c)K^(*)andΣ_(c)K^((*))molecules as predicted in our previous study[Phys.Rev.D 108,054011(2023)].Our results indicate that the decay width for the coupledΣ_(c)K/Λ_(c)K^(*)/Σ_(c)K^(*)molecule with I(JP)=1/2(1/2-)is on the order of several MeV,with the DsN channel being dominant.For the coupledΛ_(c)K^(*)/Σ_(c)K^(*)molecule with1/2(1/2-,3/2-),the decay widths are on the order of tens of MeV,with the dominant channels beingΣ_(c)K andΣ_(c)^(*)K,respectively.For theΣ_(c)K^(*)molecules with 1/2(1/2-),the decay width can reach one hundred MeV,withΣ_(c)K andΛ_(c)K being the dominant decay channels.The decay widths for theΣ_(c)K^(*)molecules with 1/2(3/2-)an d 3/2(1/2-)are on the order of tens of MeV,with the dominant decay modes beingΣ_(a)^(*)K ndΣ_(c)K,respectively.The branching ratios for all the discussed channels exhibit slight dependence on the binding energies.展开更多
文摘The behavior as t→∞ of solutions of the linear system of elastic equations defined on anon-star-tshaped exterior domains in Rn (n≥3) is discussed.It has showed that the local energydecays with arate of t-1+H (0≤H≤1),nonuniformly with respect to the geometrical propertiesof the obstacle.and when n is odd the local energy decays exponentially.For the classical elasticwave,when n=3,the behavior of the solution of the nonhomogeneous system with a right sideterm periodical with respect to time t is discussed.
基金Supported by the National Natural Science Foundation of China(12305139)the Xiaoxiang Scholars Programma of Hunan Normal University。
文摘In this work,we apply the effective Lagrangian approach to investigate the two-body strong decay behaviors of the possibleΛ_(c)K^(*)andΣ_(c)K^((*))molecules as predicted in our previous study[Phys.Rev.D 108,054011(2023)].Our results indicate that the decay width for the coupledΣ_(c)K/Λ_(c)K^(*)/Σ_(c)K^(*)molecule with I(JP)=1/2(1/2-)is on the order of several MeV,with the DsN channel being dominant.For the coupledΛ_(c)K^(*)/Σ_(c)K^(*)molecule with1/2(1/2-,3/2-),the decay widths are on the order of tens of MeV,with the dominant channels beingΣ_(c)K andΣ_(c)^(*)K,respectively.For theΣ_(c)K^(*)molecules with 1/2(1/2-),the decay width can reach one hundred MeV,withΣ_(c)K andΛ_(c)K being the dominant decay channels.The decay widths for theΣ_(c)K^(*)molecules with 1/2(3/2-)an d 3/2(1/2-)are on the order of tens of MeV,with the dominant decay modes beingΣ_(a)^(*)K ndΣ_(c)K,respectively.The branching ratios for all the discussed channels exhibit slight dependence on the binding energies.
