Nucleon-Hole Interaction injjCoupling

Abstract

A theorem connecting the energy levels in jj coupling of a nucleon-nucleon and nucleon-hole system is derived, and applied in particular to CI 38 and K 40 . NUCLEON-HOLE INTERACTIONIN jj COUPLING

Geometry of shell-model matrix elements

“…This is nothing but the Pandya relation which expresses a particle-hole matrix element as a sum of particle-particle matrix elements [7]. For the SDI, standard angular momentum manipulations lead to the same expression (3) but with…”

Energy Level Spectra for 118Sn and 122Sn

“…Thus the two cases may be treated alike, as hole configurations can be treated as equivalent to particle configurations (Pandya 1956). Configurations are considered to be of the type (j)2, and so only the even J values may be included for this study as odd J values will not be allowed according to Pauli's exclusion principle.…”

Realistic shell-model calculations for proton particle-neutron hole nuclei around132Sn

“…Since a main feature of the present calculations is the derivation of the proton-neutron effective interaction in the particle-hole formalism, we have found it interesting to calculate the ph matrix elements starting from the pp ones of Ref. [6] by means of the well-known Pandya transformation [14] and compare them with those obtained directly in the ph formalism. To make this comparison free from ambiguites, the latter have been calculated starting from the Bonn-A N N potential.…”

“…[13] the effective interaction theory was applied to the study of the relation between the particle-particle and ph spectra. An important result of this work was the explanation of the violation of the Pandya pp-ph relation [14]. Despite these early achievements, little work [15] along these lines has been done ever since.…”