Study the Effects of Nuclear Correlations and Tensor Forces on the Nuclear Structure of the 10B Nucleus

Abstract

Abstract

A detailed theoretical investigation of nuclear transition charge densities is carried out for the odd–odd nucleus 10B, with particular emphasis on collective dynamics and short-range nucleon–nucleon correlations. Longitudinal C2 form factors for inelastic electron scattering are evaluated for several excited nuclear states. The transition charge density is expressed as a superposition of the shell-model contribution and a core-polarization term arising from collective nuclear dynamics. The latter is evaluated within the Tassie collective model using correlated ground-state two-body charge-density distributions (2BCDDs). These correlated densities are derived using the nuclear contact formalism, incorporating short-range central correlations and tensor-force effects from realistic nucleon–nucleon interactions. Shell-model transition densities are calculated in the p-shell using one-body density-matrix elements obtained from the Cohen–Kurath interaction. The results show that calculations restricted to the shell-model space consistently underestimate the measured longitudinal form factors. In contrast, incorporating core-polarization effects through correlated two-body densities produces state-dependent modifications of the calculated form factors. Collective effects enhance the transition strength for most states, while providing minor or destructive contributions for some excitations. Overall, their inclusion improves agreement with the available experimental data. The present study demonstrates that a consistent treatment of collective excitations and realistic short-range correlations is essential for an accurate description of inelastic electron-scattering observables in 10B