Delta excitation in the double magic nucleus \(^{56}\)Ni

Abstract

A system of baryons is studied where the system consists of the nucleon (N) and its first excited delta (\(\Delta \)). The present study investigates the double magic nucleus \(^{56}\)Ni under compression. To achieve the aim of this study, a technique called constrained spherical Hartree–Fock (CSHF) is employed. The effective potential of N–N, N–\(\Delta \) and \(\Delta \)–\(\Delta \) is used. Examination of the sensitivity for results on the model space is studied. For a large model space, the compressibility of the nuclear system increases. By increasing the model space, the radial density distribution and the formation of \(\Delta \)s decrease. Then the nucleus becomes more bounded under compression by increasing the model space when delta resonances have occurred. The formation of \(\Delta \)s is an increment to 8.93% of all components of \(^{56}\)Ni nucleus. Under compression, a part of the increment in binding energy creates \(\Delta \) particles.