Abstract
A systematic shell-model study is performed to study the spectroscopic properties from light to heavy nuclei, such as binding energies, energy levels, electromagnetic properties, and β decays. The importance of cross-shell excitation is shown in the spectroscopic properties of neutron-rich boron, carbon, nitrogen, and oxygen isotopes. A special case is presented for low-lying structure of 14C. The weakly bound effect of proton 1s1/2 orbit is necessary for the description of the mirror energy difference in the nuclei around A=20. Some possible isomers are predicted in the nuclei in the southeast region of 132Sn based on a newly suggested Hamiltonian. A preliminary study on the nuclei around 208Pb are given to show the ability of the shell model in the heavy nuclei.
Highlights
Many neutron- and proton-rich nuclei are discovered and investigated through the new generation facilities
The nuclear shell model is one of the important methods to study the properties of nuclei from the stability line to the drip line, including the binding energies, energy levels, electromagnetic properties, β decays, and many other properties [1, 2]
It is impossible to investigate all nuclei based on the shell-model calculation in a full model space, it is important to perform systematic shell-model study from light to heavy nuclei
Summary
Many neutron- and proton-rich nuclei are discovered and investigated through the new generation facilities. The nuclear shell model is one of the important methods to study the properties of nuclei from the stability line to the drip line, including the binding energies, energy levels, electromagnetic properties, β decays, and many other properties [1, 2]. The required calculations are (much) beyond the present computational limitation for many nuclei. Some approximations are suggested to overcome the limitation, such as Monte-Carlo shell model [3], projected shell model [4], and so on. It is impossible to investigate all nuclei based on the shell-model calculation in a full model space, it is important to perform systematic shell-model study from light to heavy nuclei. A brief introduction of our recent shell-model works will be presented in the present paper
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