Nuclear Shell Model Calculations for A=49 Isobars

One of the common methods used to investigate the nuclear structures of atomic nucleus is the nuclear shell model. As in the case of shell model of atom for electrons, atomic nucleus is assumed to be composed of nuclear shells. Protons and neutrons (nucleons) fill the orbits in the shells according to the quantum mechanical restrictions. Each nucleon moves independently under an average potential created by the others. In the model, a very stable nucleus having nuclear magic numbers for nucleons is considered as inert core. Only valance nucleons outside the core are active in the considered model space and taken into account in the calculations. In the present study, by using nuclear shell model, we have investigated nuclear structure properties of A=49 isobars. Doubly magic 40Ca nucleus was considered as an inert core and fp model space was taken into account for the valance nucleons. For two-body interaction Hamiltonian, different matrix element sets existing in the literature were used. The results have been compared with each other and the available experimental data.

Keywords:

Nuclear shell model, nuclear structure, energy level transition,

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Brown, B.A., 2001. The nuclear shell model towards the drip lines. Prog. Part. Nucl. Phys. 47, 517.
Brown, B.A., 2004. Oxbash for Windows. MSU_NSCL report number 1289.
Brown, B.A. and Rae, W.D.M., 2014. The Shell-Model Code NuShellX@MSU. Nucl. Data Sheets. 120, 115.
Caurier, E. and Nowacki, F., 1999. Present Status Of Shell Model Techniques. Acta Physica Polonica B, 30, 705.
Caurier, E., etal., 2005. The shell model as a unified view of nuclear structure. Rev. Mod. Phys. 77, 427.
Haxel, O., et al., 1949. On the "Magic Numbers" in Nuclear Structure. Phys. Rev. 75, 1766.
Jhonson, C.W., et al., 2018. BIGSTICK: A flexible configuration-interaction shell-model code. arXiv:1801.08432v1 [physics.comp-ph].
Kinsey, R. R., et al., 1996. The NUDAT/PCNUDAT Program for Nuclear Data, paper submitted to the 9th International Symposium of Capture Gamma-Ray Spectroscopy and Related Topics, Budapest, Hungary, October 1996. Data extracted from the NUDAT database, 2.8 (Nisan, 10, 2020).
Mayer, M.G., 1948. On Closed Shells in Nuclei. Phys. Rev. 74, 235.
Mayer, M.G., 1949. On Closed Shells in Nuclei. II. Phys. Rev. 75, 1969.
Mayer, M.G., 1950. Nuclear Configurations in the Spin-Orbit Coupling Model. I. Empirical Evidence. Phys. Rev. 78, 16.
Ormand W.E., Jhonson C.W., 2000. REDSTICK, http://www.phys.lsu.edu/faculty/cjohnson/redstick.html
Shimizu, N., 2013. Nuclear shell-model code for massive parallel computation, KSHELL, arXiv:1310.5431 [nucl-th].
Talmi, I., 2005. 55 Years Of The Shell Model: A Challenge To Nuclear Many-Body Theory. Int. J. Mod. Phys. E 14, 821.