Cluster physics and the importance of forbiddenness

39th Symposium on Nuclear Physics 2016

Hess, P.O.^1 ; Yépez-Martínez, H.^2

Instituto de Ciencias Nucleares, UNAM, Circuito Exterior, C.U., A.P. 70-543, México D.F.

04510, Mexico^1

Universidad Autónoma de la Ciudad de México, Prolongación San Isidro 151, Col. San Lorenzo Tezonco, Del. Iztapalapa, México D.F.

09790, Mexico^2

关键词: Cluster models;    Cluster physics;    Cluster structure;    Pauli exclusion principle;    Relative motion;    Structural effect;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/730/1/012014/pdf
DOI  :  10.1088/1742-6596/730/1/012014

来源: IOP

【 摘 要 】

We review the concept of forbiddenness as introduced by Smirnov and Yu M. Tchuvil'sky [1], which states that most of the properties of nuclear reactions and cluster structure is based on structural effects (Pauli exclusion principle). This becomes also clear when one tries to obtain the ground state of the united nucleus by two heavy clusters, which is not possible when all excitations are put into the relative motion. Smirnov et al. introduced the concept of forbiddenness, which is defined as the minimal number of relative oscillation quanta which have to be shifted to internal excitations of the clusters, such that the ground state can be reached. We show that Smirnov et al. committed and error in the derivation, leading us to reevaluate the derivation of the forbiddenness. We deduce the correct expression for the forbiddenness, leading to a simple interpretation and implementation in a cluster model and some applications are presented.