Higher order bulk characteristic parameters of asymmetric nuclear matter

The bulk parameters characterizing the energy of symmetric nuclear matter and the symmetry energy defined at normal nuclear density ρ0 provide important information on the equation of state (EOS) of isospin asymmetric nuclear matter. While significant progress has been made in determining some lower order bulk characteristic parameters, such as the energy E0(ρ0) and incompress ibility K0 of symmetric nuclear matter as well as the symmetry energy Esym(ρ0) and its slope parameter L, yet the higher order bulk characteristic parameters are still poorly known. Here, we analyze the correlations between the lower and higher order bulk char acteristic parameters within the framework of Skyrme Hartree-Fock energy density functional and then estimate the values of some higher order bulk characteristic parameters. In particular, we obtain J0 = (-355±95) MeV and I0 = (1473±680) MeV for the third order and fourth-order derivative parameters of symmetric nuclear matter at ρ0 and Ksym = (-100 ± 165) MeV, Jsym = (224 ± 385) MeV, Isym = (-1309 ± 2025) MeV for the curvature parameter, third-order and fourth-order derivative parameters of the symmetry energy at ρ0, using the empirical constraints on E0(ρ0), K0, Esym(ρ0), L, and the isoscalar and isovector nucleon effective masses. Furthermore, our results indicate that the three parameters E0(ρ0), K0, and J0 can reasonably characterize the EOS of symmetric nuclear matter up to 2ρ0 while the symmetry energy up to 2ρ0 can be well described by Esym(ρ0), L, and Ksym.

Nucleon ~3pF_2 Superfluid Pairing Gap in Asymmetry Nuclear Matter

The 3 P F2 superfluidity of neutron and proton is investigated in isospin-asymmetric nuclear matter within the Brueckner-Hartree-Fock approach and the BCS theory by adopting the Argonne V14 and the Argonne V18 nucleonnucleon interactions. We find that pairing gaps in the 3PF2 channel predicted by adopting the AV14 interaction are much larger than those by the AV18 interaction. As the isospin-asymmetry increases, the neutron 3 pF2 superfluidity is found to increase rapidly, whereas the proton one turns out to decrease and may even vanish at high enough asymmetries. As a consequence, the neutron 3pF2 superfluidity is much stronger than the proton one at high asymmetries and it predominates over the proton one in dense neutron-rich matter.

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.

非对称核物质中的中子-质子对关联

n-p对关联的准确知识对于核物理及天体物理的相关研究非常重要,然而,当前对核物质超流性的准确认识仍有许多问题.基于此,我们总结了影响非对称核物质n-p对关联的两个因素,能隙的方向依赖性以及n-n,p-p,n-p三种Cooper对的耦合.能隙的方向依赖性可以在一定程度上缓解非对称度对n-p对关联的抑制.同时,当考虑能隙的方向依赖性时,FFLO态的Cooper对动量在空间的取向不再是简并的,会劈裂成两种超流态,并且会在较大的非对称度范围存在.另一方面,n-n,p-p,n-p三种Cooper对的共存在非对称核物质中是可以发生的,并且当n-p对相互作用远强于n-n对相互作用时,n-n对,p-p对的存在也会缓解非对称度对n-p对的抑制.

中子物质中的^3PF2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.

非对称核物质中核子动量分布的微观理论计算(英文)

在Extended Brueckner-Hartree-Fock(EBHF)近似下,采用Argonne V18势作为核子-核子相互作用,计算了基态非对称核物质中核子动量的分布。对核子的动量分布对同位旋不对称度的依赖关系进行了描述和讨论。结果表明,在不对称度为零时,质子与中子有着基本相同的动量分布。随着不对称度的增加,在各自的费米面以下,质子动量分布减小而中子动量分布增大。对费米面处的准粒子强度也进行了计算和讨论。本结果较好地满足了两个理论检验标准Migdal-Luttinger theorem和粒子数守恒律。