Title: Nuclear collectivity growth rate in the main shell (Z = 56-80, N = 84-122) area and its correlation to the valance nucleon product

Authors: Mudasir Ahmad; Amit Bindra

Addresses: Department of Physics, School of Chemical Engineering and Physical Science, Lovely Professional University, Jalandhar, Punjab, India ' Department of Physics, School of Chemical Engineering and Physical Science, Lovely Professional University, Jalandhar, Punjab, India

Abstract: The paper presents a new formula, based on two well-known nuclear parameters, that describes the relationship between the valance nucleonic product, intrinsic B(E2)↑ levels, energy transition ratio dE_4/2, and their product (dE_4/2 * B(E2)↑) in the pattern of a product regime. It is shown that this formula accurately describes the sub-shell impact at Z = 64 and the structural phase transformation at N ~ 90 isotones. The article also highlights a discrepancy in the collectivity growth rates in certain areas of the nuclear chart and presents the first concrete evidence for such findings, emphasising the need to address signatures and simplify the complexity of the literature. The main objective of the paper is to present this new formula and to draw attention to this discrepancy in collectivity growth rates.

Keywords: collectivity; energy transition ratio; intrinsic levels; valance nucleon product.

DOI: 10.1504/IJNEST.2023.136783

International Journal of Nuclear Energy Science and Technology, 2023 Vol.16 No.4, pp.316 - 324

Received: 17 Feb 2023
Accepted: 28 Nov 2023
Published online: 21 Feb 2024 *

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