两体手征核力中Δ共振态对核子-核子散射分波相移的影响  

The impact ofΔ-resonance in two-body chiral nuclear force on the partial wave phase shift of nucleon-nucleon scattering

作　　者：陈海明 龙炳蔚[1] CHEN Hai-Ming;LONG Bing-Wei(College of Physics,Sichuan University,Chengdu 610064,China)

机构地区：[1]四川大学物理学院,成都610064

出　　处：《四川大学学报(自然科学版)》2025年第2期458-464,共7页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金面上项目(12275185)。

摘　　要：基于手征有效场论的框架,我们微扰计算了引入Δ共振态效应后各分波散射相移(L≥1,3P_(0)除外),目的是探究Δ共振态在两体手征核力中是否有着不可忽视的作用.通过与无Δ共振态效应的散射相移数据对比,我们发现两体手征核力中的Δ共振态不仅可以使高分波(L≥2)的相移数据与经验值符合得更好,而且之前大家都不看好的P波,其结果也表现出与相移经验值的一致性以及良好的收敛性质,反映了两体手征核力有考虑Δ共振态的必要性;另一方面我们也发现了两种对圈积分正规化方法之间的关系,即维度正规化是特殊函数正规化中的内部截断为无穷大时的一种极限情况.Based on the framework of chiral effective field theory,we perturbatively calculated the nucleonnucleon scattering phase shifts for partial waves with orbital angular momentum L≥1(except for 3P_(0))by considering the effect ofΔ-resonance.The aim was to explore whether theΔ-resonance plays a non-negligible role in two-body chiral nuclear force.By comparing with the scattering phase shift data with and without the effect ofΔ-resonance,we found that theΔ-resonance in the two-body chiral nuclear forces can make the phase shift result of peripheral partial waves with angular momentum L≥2 fit better with the empirical values,but also the P waves,which were poorly regarded previously,also showed consistency with the empirical value of phase shift and good convergence properties.This highlights the necessity of considering theΔ⁃resonance in two-body chiral nuclear forces.On the other hand,through the analysis and comparison of analytical expressions and theoretical scattering phase shifts on 1D2 and 3D2,we also found the relationship between two regularization methods for loop integration that dimensional regularization is an extreme case when the internal cutoff in the specific function regularization with the internal cutoff set to infinity.

关 键 词：手征核力 Δ共振态 核子-核子散射 散射相移 

分 类 号：O412.3[理学—理论物理]