Applications of Nilsson Mean-field Plus Extended Pairing 课件.ppt

精品文档 Company LOGO Applications of Nilsson Mean-field Plus Extended Pairing Model for Well-Deformed Nuclei 关鑫，潘峰 辽宁师范大学物理学 Liaoning Normal University Introduction Extended Pairing Model Summary Outline Numerical results and discussions 精品文档 1 Introduction Pairing is an important residual interaction that is used in nuclear physics. The Bardeen-Cooper- Schrieffer (BCS) and Hartree-Fock-Bogolyubov (HFB) methods suffer from serious difficulties. Extended Pairing Model 精品文档 The standard pairing Hamiltonian Feng Pan et al., PRL. 92.112503(2004) The total number of Nilsson levels The pairing strength The single-particle energies The extended pairing Hamiltonian Extended Pairing Model Feng Pan et al., PRC. 80, 044306 (2009) The extended pairing model The standard pairing model The first step approximation Only the lowest energy eigenstate is taken into consideration 精品文档 1 Extended Pairing Model k-pair eigenstates The expansion coefficient can be expressed as The additional quantum number The undetermined variable 精品文档 mean-field pairing Extended Pairing Model The eigenvalue equation of the model 精品文档 The undetermined variable is given by Extended Pairing Model k-pair excitation energies 精品文档 1 Numerical results and discussions The average binding energy per valence neutron Er isotope = - 7.475 Mev Yb isotope = - 7.476 Mev Hf isotope = - 7. 71 Mev The neutron single particle energy is expressed as Neutron single-particle energies calculated from the Nilsson model The average binding energy of per valence neutron in a major shell The contribution from the core 精品文档 1 Numerical results and discussions P(A)=E(A-1)+E(A+1)-2E(A) The definition of odd-even mass difference Mean-square deviation of binding energies The total number of the nuclei fitted All nuclei fitted in a chain 精品文档 Numerical results and discussions Binding energy Odd-even mass difference 精品文档 Numerical results and discussions BCS approximation Extended Pairing Model Nearest-orbi