Recently,it has been generally claimed that a low order post-Newtonian(PN)Lagrangian formulation,whose Euler-Lagrange equations are up to an infinite PN order,can be identical to a PN Hamiltonian formulation at the in...Recently,it has been generally claimed that a low order post-Newtonian(PN)Lagrangian formulation,whose Euler-Lagrange equations are up to an infinite PN order,can be identical to a PN Hamiltonian formulation at the infinite order from a theoretical point of view.In general,this result is difficult to check because the detailed expressions of the Euler-Lagrange equations and the equivalent Hamiltonian at the infinite order are clearly unknown.However,there is no difficulty in some cases.In fact,this claim is shown analytically by means of a special first-order post-Newtonian(1PN)Lagrangian formulation of relativistic circular restricted three-body problem,where both the Euler-Lagrange equations and the equivalent Hamiltonian are not only expanded to all PN orders,but have converged functions.It is also shown numerically that both the Euler-Lagrange equations of the low order Lagrangian and the Hamiltonian are equivalent only at high enough finite orders.展开更多
An algebraic model with three-body boson interactions is proposed to incorporate the different quadrupole modes in nuclear collectivity.It is shown that the recently observed anomalous collective structure characteriz...An algebraic model with three-body boson interactions is proposed to incorporate the different quadrupole modes in nuclear collectivity.It is shown that the recently observed anomalous collective structure characterized by B_(4/2)=B(E2;4_(1)→2_(1))/B(E2;2_(1)→0_(1))<1.0 and R_(4/2)=E(4_(1))/E(2_(1))≥2.0,which cannot yet be explained by any other microscopic nuclear models,naturally emerges in the present model due to the inclusion of triaxial rotor modes.This description is further extended to describe odd-A nuclei by including the coupling to the Fermion degree of freedom.This allows us to give a unified explanation of the anomalous B(E2)strengths in both even-even and even-odd systems,which indicate different behaviors.As examples,the model is applied to describe the spectroscopy and E2 transition properis of^(168,169,170,171)Os.All recent measurements of these isotopes can be wel reproduced on the same footing,which suggests that the anomalous collectivity persists even in odd-A systems.展开更多
基金Supported by the the Natural Science Foundation of Jiangxi Province under Grant No.[2015]75the National Natural Science Foundation of China under Grant Nos.11173012,11178002,and 11533004
文摘Recently,it has been generally claimed that a low order post-Newtonian(PN)Lagrangian formulation,whose Euler-Lagrange equations are up to an infinite PN order,can be identical to a PN Hamiltonian formulation at the infinite order from a theoretical point of view.In general,this result is difficult to check because the detailed expressions of the Euler-Lagrange equations and the equivalent Hamiltonian at the infinite order are clearly unknown.However,there is no difficulty in some cases.In fact,this claim is shown analytically by means of a special first-order post-Newtonian(1PN)Lagrangian formulation of relativistic circular restricted three-body problem,where both the Euler-Lagrange equations and the equivalent Hamiltonian are not only expanded to all PN orders,but have converged functions.It is also shown numerically that both the Euler-Lagrange equations of the low order Lagrangian and the Hamiltonian are equivalent only at high enough finite orders.
基金Supported by the Natural Science Foundation of China(12375113,11875158)。
文摘An algebraic model with three-body boson interactions is proposed to incorporate the different quadrupole modes in nuclear collectivity.It is shown that the recently observed anomalous collective structure characterized by B_(4/2)=B(E2;4_(1)→2_(1))/B(E2;2_(1)→0_(1))<1.0 and R_(4/2)=E(4_(1))/E(2_(1))≥2.0,which cannot yet be explained by any other microscopic nuclear models,naturally emerges in the present model due to the inclusion of triaxial rotor modes.This description is further extended to describe odd-A nuclei by including the coupling to the Fermion degree of freedom.This allows us to give a unified explanation of the anomalous B(E2)strengths in both even-even and even-odd systems,which indicate different behaviors.As examples,the model is applied to describe the spectroscopy and E2 transition properis of^(168,169,170,171)Os.All recent measurements of these isotopes can be wel reproduced on the same footing,which suggests that the anomalous collectivity persists even in odd-A systems.
