核结构模型中的两体以上相互作用（英文）

Beyond the 2-body Interaction Paradigm in Modeling Nuclear Structure

讨论了核结构模型中两体以上相互作用的可能形式。首先以基于手征微扰论并适于描述轻核的三体接触型相互作用为例,讨论了能合理描述~3H和~3He结合能的三核子接触型相互作用相关的两个低能有效耦合参数cD和cE间的关系并通过4He结合能给出了相应的物理参数区。其次通过Okubo-Lee-Suzuzki有效相互作用方法对核多体问题在有限模型空间的求解,论证了A-体相互作用项。最后利用包含了A-体推广对力的可解模型对重核的同位素长链进行了分析。以132Sn为核芯,通过对Sn同位素链的计算揭示了推广对力参数G(A)与模型价核子空间维数dim(A)间的显著关系:G(A)=259.436 dim(A)-0.9985。这些分析结果说明,有必要对核中经手征微扰论或其它唯象理论所得到的NNN-,NNNN-,及A-体相互作用作进一步的研究。

We discuss modeling of nuclear structure beyond the 2-body interaction paradigm. Our first example is related to the need of three nucleon contact interaction terms suggested by chiral perturbation theory. The relationship of the two low-energy effective coupling parameters for the relevant three nucleon contact interaction terms c D and c E that reproduce the binding energy of3 H and3He has been emphasized and the physically relevant parameter region has been ilustrated using the binding energy of4 He. Further justification of A-body interaction terms is outlined based on the Okubo-Lee-Suzuki effective interaction method used in solving the nuclear many-body problem within a finite model space. The third example we use is an exactly solvable A-body extended paring interaction applied to heavy nuclei with a long isotopic chain; in particular using132 Sn as closed core system illustrates a remarkable relationship between the extended pairing strength G（A） and the size of the valence space dim（A） for the members of the Sn-isotope chain： G（A） = α dim（A）-βwith α = 259.436 and β = 0.998 5 which is actually a one parameter expression since β is practically 1. These three cases present evidence for the need of better understanding of the NNN-, NNNN-, and A-body interactions in nuclei either derived from Ch PT or from a phenomenological considerations.