Single nucleon potential and effective mass with ground state correlations in hot nuclear matter

In the framework of the finite temperature Brueckner-Hartree-Fock approach including the contribution of the microscopic three-body force, the single nuclear potential and the nucleon effective mass in hot nuclear matter at various temperatures and densities have been calculated by using the hole-line expansion for mass operator, and the effects of the three-body forces and the ground state correlations on the single nucleon potential have been investigated. It is shown that both the ground state correlations and the three-body force affect considerably the density and temperature dependence of the single nucleon potential. The rearrangement correction in the single nucleon potential is repulsive and it reduces remarkably the attraction of the single nucleon potential in the low-momentum region. The rearrangement contribution due to the ground state correlations becomes smaller as the temperature rises up and becomes larger as the density increases. The effect of the three-body force on the ground state correlations is to reduce the contribution of rearrangement. At high densities, the single nucleon potential containing both the rearrangement correction and the contribution of the three-body force becomes more repulsive as the temperature increases.

Nucleon Superfluidity in Asymmetric Nuclear Matter and Neutron Star Matter

We have investigate the nucleon superfluidity in asymmetric nuclear matter and neutron star matter by using the Brueckner-Hartree-Fock approach and the BCS theory. We have predicted the isospin-asymmetry dependence of the nucleon superfluidity in asymmetric nuclear matter and discussed particularly the effect of microscopic three-body forces. It has been shown that the three-body force leads to a strong suppression of the proton S-1(0) superfluidity in beta -stable neutron star matter. Whereas the microscopic three-body force is found to enhance remarkably the (PF2)-P-3 neutron superfluidity in neutron star matter and neutron stars.

Influence of two different representations of the G-matrix to the in-medium nucleon-nucleon cross sections

We calculate the in-medium nucleon-nucleon scattering cross sections from the G-matrix using the Dirac-Brueckner-Hartree-Fock (DBHF) approach. And we investigate the influence of the different representations of the G-matrix to the cross sections, the difference of which is mainly from the different effective masses.

Superfluidity in neutron matter and symmetric nuclear matter and the effect of a microscopic three-body force

The neutron (PF2)-P-3 pairing gap in pure neutron matter, neutron (PF2)-P-3 gap and neutron-proton (SD1)-S-3 gap in symmetric nuclear matter have been studied by using the Brueckner-Hartree-Fock(BHF) approach and the BCS theory. We have concentrated on investigating and discussing the three-body force effect on the nucleon superfluidity. The calculated results indicate that the three-body force enhances remaxkably the (PF2)-P-3 superfluidity in neutron matter. It also enhances the (PF2)-P-3 superfluidity in symmetric nuclear matter and its effect increases monotonically as the Fermi-momentum k(F) increases, whereas the three-body force is shown to influence only weakly the neutron-proton (SD1)-S-3 gap in symmetric nuclear matter.

Neutron (PF2)-P-3 superfluidity in neutron matter and the effect of microscopic three-body force

The neutron (PF2)-P-3 pairing gap in pure neutron matter has been studied by using the Brueckner-Hartree-Fock( BHF) approach and the BCS theory. We have concentrated our attention on investigating the three-body force effect on the neutron superfluidity in the (PF2)-P-3 channel. The calculated results indicate that the three-body force enhances remarkably the (PF2)-P-3 superfluidity in neutron matter. When adopting the BHF single-particle spectrum, the three-body force turns out to increase the maximum value of the pairing gap from about 0.22 MeV to about 0.5 MeV.

Three-body force rearrangement effect on single particle properties in neutron-rich nuclear matter

We extend the Brueckner-Hartree-Fock (BHF) approach to include the three-body force (TBF) rearrangement contribution in calculating the neutron and proton single particle (s.p.) properties in isospin asymmetric nuclear matter. We investigate the TBF rearrangement effect on the momentum-dependence of neutron and proton s.p. potentials, the isospin splitting and especially its density dependence of the neutron and proton effective masses, and the isospin symmetry potential in neutron-rich nuclear matter by adopting the realistic Argonne V-18 two-body nucleon-nucleon interaction supplemented with a microscopic TBF. We find that at low densities, the TBF rearrangement effect is fairly weak, whereas the TBF induces a significant rearrangement effect on the s.p. properties at high densities and large momenta. The TBF rearrangement contribution to s.p. potential is shown to be repulsive, and it reduces considerably the attraction of the BHF s.p. potential. The repulsion from the TBF rearrangement turns out to be strongly momentum dependent at high densities and high momenta. As a consequence, it enhances remarkably the momentum dependence of the proton and neutron s.p. potentials and reduces the neutron and proton effective masses. At low densities, the TBF rearrangement effect on symmetry potential is almost negligible, while at high densities, it enlarges sizably the symmetry potential. At high enough densities, it may even change the high-momentum behavior of symmetry potential. In both cases, with and without including the TBF rearrangement contribution, the predicted neutron effective mass is larger than the proton one in neutron-rich matter within the BHF framework; i.e., the predicted isospin splitting of the proton and neutron effective masses in neutron-rich matter is such that m(n)(*)>= m(p)(*), in agreement with the recent Dirac-BHF predictions. The TBF rearrangement contribution reduces remarkably the magnitude of the proton-neutron effective mass splitting at high densities. At high enough densities, inclusion of the TBF rearrangement contribution even suppresses almost completely the effective mass splitting.

DBHF方法和核物质的性质

基于Dirac-Brueckner-Hartree-Fock（DBHF）方法的输入量是由NN散射和氘核数据确定的自由NN势，没有可调参数，这样可自洽地求解核物质的性质；同时，它给出的核物质的饱和性质（核物质的饱和能量和饱和密度）明显符合经验值。在论文的第一部分中，我们采用DBHF方法来计算研究了核物质性质的一系列物理量在核介质中的变化行为以及不同的T矩阵协变表示对这种行为的影响，譬如核物质中的自能，单粒子能量，核状态方程以及核物质的热力学自洽性等。同时从DBHF方法中给出的两核子的有效相互作用T矩阵出发，我们可以直接得出介质中核子-核子反应的总截面和微分截面，作为输运理论输入量的介质中的截面，对重离子碰撞中的各物理量有重要影响。论文的第二部分是计算研究同位旋非对称核物质的性质。作为通向研究有限核的一个中间过程，非对称核物质的研究对丰中子核物理以及核天体物理具有重要的意义。我们首先将对称的DBHF方法推广到非对称的情况，然后基于非对称的DBHF方法计算研究非对称核物质的性质，特别是不同定义的非相对论有效质量和Dirac有效质量在非对称核物质中的劈裂效应

Competitions of magnetism and superconductivity in FeAs-based materials

Using the numerical unrestricted Hartree-Fock approach, we study the ground state of a two-orbital model describing newly discovered FeAs-based superconductors. We observe the competition of a (0, π) mode spin-density wave and the superconductivity as the doping concentration changes. There might be a small region in the electron-doping side where the magnetism and superconductivity coexist. The superconducting pairing is found to be spin singlet,orbital even, and coexisting sxy + dx~2-y~2 wave (even parity).

中子物质中的~3PF_2态超流性和微观三体核力效应

利用Brueckner-Hartree-Fock(BHF)和BCS理论方法,计算了纯中子物质中处于3PF2态的中子对关联能隙,特别是研究并讨论了微观三体核力对3PF2态中子超流性强弱的影响.结果表明:三体核力显著地增强了中子物质中3PF2态中子超流性;当采用BHF单粒子能谱时,三体核力导致相应的对关联能隙峰值由0.22MeV增大到0.50MeV.

非对称核物质中质子和中子的~1S_0态超流性

利用Brueckner-Hartree-Fock和BCS理论方法,计算了非对称核物质中处于1S0态的质子和中子的对关联能隙,着重研究和讨论了能隙的同位旋依赖性和三体核力的影响.结果表明:随核物质的同位旋非对称度增大,中子1S0态超流相存在的密度范围逐渐缩小而且对关联能隙峰值稍有升高;质子1S0态超流相存在的密度范围迅速扩大而且对关联能隙峰值显著降低.三体核力对非对称核物质中1S0态中子超流性及其同位旋依赖性的影响相对较小,但对1S0态质子超流性具有重要影响,而且其效应随核子数密度增大而迅速增强.三体核力的主要作用是强烈地抑制了具有高非对称度的核物质中高密度区域的1S0态质子超流性,导致质子超流相存在的密度范围显著缩小.

三体核力重排项的同位旋效应

在同位旋相关的Brueckner理论框架内,研究了三体核力重排贡献对同位旋对称势及其动量相关性和密度依赖性的影响,特别是研究了三体核力重排效应对于非对称核物质中质子和中子有效质量同位旋劈裂的影响.结果表明:三体核力重排效应对质子和中子单核子势均具有排斥性,而且其贡献随动量和密度增加而迅速增大.在低密度区域,三体核力重排贡献对同位旋对称势的影响相当小,然而随着密度的升高,三体核力重排效应的贡献显著增强.在高密度区域,三体核力重排效应使得同位旋对称势明显增大,而且当密度足够高时,三体核力重排贡献甚至导致对称势的动量相关性质发生改变.三体核力的重排效应对核子有效质量同位旋依赖性的影响是使高密度丰中子核物质中质子-中子有效质量同位旋劈裂的幅度显著减小.

新生中子星的性质与三体核力效应

在Brueckner-Hartree-Fock理论框架内,研究了新生中子星的状态方程和性质,计算了新生中子星的最大质量和新生中子星中质子占总核子数的丰度,特别是讨论了三体核力和中微子束缚效应的影响以及三体核力和中微子束缚效应的相互影响．结果表明,无论是否考虑三体核力,中微子束缚对新生中子星的状态方程和质子丰度均有明显影响．中微子束缚导致新生中子星物质中的质子丰度显著增大．三体核力的贡献是使新生中子星的状态方程变硬并导致新生中子星中质子丰度明显增大．束缚在中子星物质中的中微子显著减弱了三体核力对于中子星物质中质子丰度的影响．

DBHF方法和热力学自洽性

采用Dirac Brueckner-Hartree-Fock理论方法,计算了零温核物质中每核子的结合能、压强和单核子能量,着重讨论了不同的T矩阵协变表示对核物质中Hugenholtz-Van Hove(HVH)定理满足程度的影响．结果表明:不同的协变表示对核子自能各分量的动量相关性和密度依赖性均有重要影响,进而对核介质中HVH定理的满足程度产生重要影响．在完全的膺矢量表示下,HVH定理遭到了相当大程度的破坏,从而体现出基态关联效应对单核子性质的重要性,并与非相对论BHF理论方法得到的结论一致,因而完全的膺矢量表示要优于膺标量表示．