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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。
The possible forms of interaction between two bodies in the nuclear structure model are discussed. First, based on the chiral perturbation theory and suitable for describing the triad contact interaction of light nuclei, we first discuss two low energy efficient couplings that can reasonably describe the triplet contact interactions of ~ 3H and ~ 3He binding energy The relationship between the parameters cD and cE and the 4He binding energy gives the corresponding physical parameter region. Secondly, we use the Okubo-Lee-Suzuzki effective interaction method to solve the multi-body problem in the finite model space and demonstrate the A-body interaction term. At last, the long chain of heavy isotopes is analyzed by using the solvable model which contains the generalization force of A-body. Using 132Sn as the core, the significant relationship between the force parameter G (A) and dim (A) of the model space is revealed by calculating the Sn isotope chain: G (A) = 259.436 dim (A) - 0.9985. The results of these analyzes suggest that further studies of NNN-, NNNN-, and A-body interactions in the nucleus by chiral perturbation or other phenomenological theories are necessary.