An Effective Coulomb Interaction in Nuclear Energy Density Functionals

It is well-known that the charge-violating interaction is usually underestimated in nuclear many-body approaches,the so-called Nolen–Schiffer anomaly.In the framework of the Skyrme–Hartree–Fock(SHF)method,the effective two-body charge-symmetry breaking(CSB)and charge-independent breaking(CIB)interactions in nuclear medium are included.

1-11 Angle Dependence of d-wave Pairing Gap in Two Component Fermion System

In a two component fermion system, the mismatched Fermi surfaces prevent the formation of Cooper pairsbetween the two spices near their average Fermi surface. Our previous work[1] has shown that the angle dependenceof the non s-wave pairing gap can reduce the effect of the difference μ between the Fermi surfaces of two spices inasymmetric nuclear matter. On the other hand, in the heavy fermion superconductors, such as CeCoIn5 pressuredCeRhIn5 NpPd5Al2 and Tl-based cuprates, may have a couple of common features, for example, the d-wave pairingand a strong paramagnetic effect (the difference of the two Fermi surfaces μ). Therefore, the angle dependence ofthe pairing gap may have significant influence in these systems.

In-medium Nucleon-nucleon Cross Section in Nuclear Matter

In-medium nucleon-nucleon(NN)cross sections at various densities and isospin asymmetries are investigated systematically in the framework of the Brueckner-Hartree-Fock approach.The calculations are based on the exact treatment of the center-of-mass momentum instead of the total momentum approximation employed in previous works^([1]).

Identity of the Normalized Nucleon Momentum Distribution

A systematical investigation of nucleon momentum distributions at various densities and isospin asymmetries for nuclear matter are performed within the extended Brueckner-Hartree-Fock(EBHF)approach.The shapes of the normalized momentum distributions varying with k/kF are shown to be practically identical。

Proton Spectral Function in Finite Nuclei Based on the Extended Brueckner-Hartree-Fock Approach

We have calculated the proton spectral functions for finite nuclei by the local density approximation where the nuclear structure is calculated from the Skyrme-Hartree-Fock method and the nuclear matter calculation is performed within the framework of the extended Brueckner-Hartree-Fock approach by adopting the AV18 two-body interaction supplemented with a microscopic three-body force[1].

Neutron-proton Pairing for Nuclear Matter within the Extended Brueckner-Hartree-Fock Approach

We calculate the neutron-proton(np)pairing gap in the framework of the extend Bruecker-Hartree-Fock(BHF)approach in combination with the BCS theory by considering the self-energy effect,which is calculated up to the third order.The result shows that the self-energy up to the second order reduces the effective energy gap strongly while the renormalization term enhances it significantly.In addition,the effect of the three-body force(3BF)on the np pairing gap is shown to be negligible.To connect with the np pairing in finite nuclei we propose an effective density-dependent zero-range pairing force with the parameters fitting to the calculated energy gap.

New Orientation of Cooper Pair Momentum in FFlO State

Due to the anisotropic pairing interaction in asymmetric two component D-wave pairing systems,the pairing gap and quasiparticle spectrum are also anisotropic.When Cooper pair momentum are considered,the FFLO state is nondegenerate for the orientation of the Cooper pair momentum 2q and some special directions of 2q are local stable.Reference[1]points out only two special orientations[orthogonal and parallel orientations respect with the symmetry axis of angle-depend gap(ADG)[2]]of 2q are found.However,different from the result in Ref.[1],for moderate asymmetry the favored direction of 2q is between the orthogonal and parallel orientations.

介质中有效核子-核子散射截面的深度机器学习

由于周围核子的影响,介质中核子-核子(Nucleon-Nucleon,NN)截面与散射两核子的状态相关,依赖于核子数总密度、同位旋非对称度、两核子总动量和质心系总动能.并且其依赖形式相当复杂,基于复杂公式的拟合在精度上有不足之处.鉴于机器学习与神经网络在数据拟合方面的优势,本文以微观计算的有效NN截面为数据集,通过深度神经网络方法,获得各种条件下的NN截面.结果表明,机器学习可以很好地拟合介质中的NN截面,同时也展现出机器学习的明显优势.另外,通过机器学习得到的截面可以直接应用到输运模型来研究介质对核反应观测量的影响.