Abstract

The calculations of the shell model, based on the large basis, were carried out for studying the nuclear 29-34Mg structure. Binding energy, single neutron separation energy, neutron shell gap, two neutron separation energy, and reduced transition probability, are explained with the consideration of the contributions of the high-energy configurations beyond the model space of sd-shell. The wave functions for these nuclei are used from the model of the shell with the use of the USDA 2-body effective interaction. The OBDM elements are computed with the use of NuShellX@MSU shell model code that utilizes the formalism of proton-neutron.

Highlights

  • That importance is a result of the significance of the nuclei lying far from the ß-stability, as they were proven adequately adapted for descriptions of the nuclear systems which are near the stability valley

  • Several conclusions could be drawn from the present work; for instance, moving toward neutronrich nuclei has many effects on the behavior of the isotopes, and the even isotopes give results in a better approach to the process than to the individual

  • The extrapolation of the binding energies revealed that the nuclei approaching the neutron-rich dripline have relatively higher binding energies than 29Mg. the results revealed that the one neutron separation energy is decreased when the number of neutron increases and that the neutron separation energy for the even nuclei is higher than that of the odd nuclei for 29-34Mg isotopes, which occure due to nucleons pairing

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Summary

These operators can be recoupled to

P represents wave function of the single-particle form of the particle-hole [19],. For Lanczos multiplications of :. Where represents the labels and RDM are matrices of the reduced density (for the protons and neutrons):

Successive Lanczos multiplication operations result in the vectors
Conclusions
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