A rigorous spectral representation of relativistic random-phase approximation is presented.Explicit expression is derived for the effective particle-hole interaction which contains the direct term Kan,the exchange ter...A rigorous spectral representation of relativistic random-phase approximation is presented.Explicit expression is derived for the effective particle-hole interaction which contains the direct term Kan,the exchange term KaQ and the kernel for the fermion line renormalization K_(fr).It is shown that according to our method,not only K_(an) but also K_(sc) and K_(fr) can be given rigorously in a form which depends only on one ω(energy)-variable and they all take account of the retardation effect properly.展开更多
The effect of excessive mesons on the meson-nucleon interaction in nuclei is studied.It is shown that even if nonlinear meson interactions are considered,excessive mesons exist in the nuclear ground state(GS)and the G...The effect of excessive mesons on the meson-nucleon interaction in nuclei is studied.It is shown that even if nonlinear meson interactions are considered,excessive mesons exist in the nuclear ground state(GS)and the GS expectation value of the meson-nucleon interaction Hamiltonian is exactly equal to zero if there are no excessive mesons.展开更多
The physical implication of a sudden jump of the Hartree-Fock solution is studied by means of a solvable model,where not only such jump occurs but also the phase transition(PT)of a many-particle system can be demonstr...The physical implication of a sudden jump of the Hartree-Fock solution is studied by means of a solvable model,where not only such jump occurs but also the phase transition(PT)of a many-particle system can be demonstrated explicitly.It is found that there is no close relation between the jump and PT.The reason for this irrelevancy is explored and explained.展开更多
基金Supported by the National Natural Science Foundation of China and the Foundation of State Education Commission.
文摘A rigorous spectral representation of relativistic random-phase approximation is presented.Explicit expression is derived for the effective particle-hole interaction which contains the direct term Kan,the exchange term KaQ and the kernel for the fermion line renormalization K_(fr).It is shown that according to our method,not only K_(an) but also K_(sc) and K_(fr) can be given rigorously in a form which depends only on one ω(energy)-variable and they all take account of the retardation effect properly.
基金Supported in part by the Foundation of State Science and Technology Commissionthe National Natural Science Foundation of Chinathe Foundation of State Education Commission.
文摘The effect of excessive mesons on the meson-nucleon interaction in nuclei is studied.It is shown that even if nonlinear meson interactions are considered,excessive mesons exist in the nuclear ground state(GS)and the GS expectation value of the meson-nucleon interaction Hamiltonian is exactly equal to zero if there are no excessive mesons.
基金Supported in part by National Natural Science Foundation of China and the Foundation of State Education Commission.
文摘The physical implication of a sudden jump of the Hartree-Fock solution is studied by means of a solvable model,where not only such jump occurs but also the phase transition(PT)of a many-particle system can be demonstrated explicitly.It is found that there is no close relation between the jump and PT.The reason for this irrelevancy is explored and explained.