Magic nuclei in superheavy valley

Abstract

An extensive theoretical search for the proton magic number in the superheavy valley beyond $Z=$82 and corresponding neutron magic number after $N=$126 is carried out. For this we scanned a wide range of elements $Z=112-130$ and their isotopes. The well established non-relativistic Skryme-Hartree-Fock and Relativistic Mean Field formalisms with various force parameters are used. Based on the calculated systematics of pairing gap, two neutron separation energy and the shell correction energy for these nuclei, we find $Z=$120 as the next proton magic and N=172, 182/184, 208 and 258 the subsequent neutron magic numbers.

5 Pages 3 Figures 2 Tables; Phys. Lett. B (2011) (Communicated)

References in corpus (5)

• The Skyrme Interaction in finite nuclei and nuclear matter
• Superheavy nuclei in relativistic effective Lagrangian model
• Existence of long-lived isomeric states in naturally-occurring neutron-deficient Th isotopes
• Superdeformed and Hyperdeformed States in Z=122 Isotopes
• Existence of long-lived isotopes of a superheavy element in natural Au

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• Systematic study of fusion barrier characteristics within the relativistic mean-field formalism
• The kinks in charge radii across $N$ = 82 and 126 revisited
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• Above-barrier heavy-ion fusion cross-sections using the relativistic mean-field approach: case of spherical colliding nuclei
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• A Study of Multi$\Lambda$ hypernuclei within Spherical Relativistic Mean-field Approach
• Deformed magic numbers at $N=$178 and $Z=$120, 124 in the 112 $\le N\le$ 190 superheavy region from Skyrme mean-field calculations