Title: Study of Grodzins product in collective nuclear structure

Authors: Amit Bindra; H.M. Mittal

Addresses: Department of Physics, Dr. B.R. Ambedkar National Institute of Technology, Jalandhar, India ' Department of Physics, Dr. B.R. Ambedkar National Institute of Technology, Jalandhar, India

Abstract: The systematic dependence of Grodzins product E(2⁺₁)∗B(E2)↑ on the nucleonic promiscuity factor, i.e. P-factor = (N_p N_n)/(N_p + N_n), is studied in the Z = 50−82, N = 82−126 major shell space. The anomalous behaviour is noticed at N = 88−90, where the Grodzins product fails to maintain the constancy corresponding to P ≥ 4. The nuclei for P ≥ 4 region are recognised for enhanced collectivity, where p−n interaction is of the order of ∼250 keV and it begins to dominate the pairing interaction of ∼1 MeV. The P-factor also resolves the anomaly of not obtaining smooth universal Casten curve in N_p N_n scheme. The approximate constancy in Grodzins product is noticed for well deformed nuclear region. The relation between Grodzins product and P-factor has been studied for the first time.

Keywords: Grodzins product; nuclear structure; P-factor.

DOI: 10.1504/IJNEST.2019.100757

International Journal of Nuclear Energy Science and Technology, 2019 Vol.13 No.2, pp.99 - 109

Accepted: 25 Feb 2019
Published online: 17 Jul 2019 *

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