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Emergence of new magic numbers, N = 16 and 32 by tensor interaction in Skyrme–Hartree–Fock theory

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Abstract

Melting of N = 20 shell and development of N = 16 and 32 shells for neutron-rich nuclei have been studied extensively by including tensor interaction in Skyrme–Hartree–Fock theory optimized to reproduce the splitting Δ1f shells of 40,48Ca and 56Ni nuclei. Evolution of gap generated by the energy difference of single-particle levels ν2s 1/2 and ν1d 3/2 has been found to be responsible for shell closure at N = 16. The splitting pattern of spin–orbit partners 2p shell model state in Ca, Ti, Cr, Fe and Ni isotopes indicates the formation of a new shell at N = 32 region.

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Acknowledgement

The author thanks the University Grants Commission for its support by way of Emeritus Fellowship (No. F.6-34 /2011(SA-II)).

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BHATTACHARYA, R. Emergence of new magic numbers, N = 16 and 32 by tensor interaction in Skyrme–Hartree–Fock theory. Pramana - J Phys 83, 519–532 (2014). https://doi.org/10.1007/s12043-014-0809-3

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