Title: Structure and reaction dynamics of zirconium in the relativistic mean field model

Authors: Mamina Panigrahi; Rabinarayan Panda

Addresses: Department of Physics, Siksha 'O' Anusandhan (Deemed to be University), Bhubaneswar, 751030, Odisha, India ' Department of Physics, Siksha 'O' Anusandhan (Deemed to be University), Bhubaneswar, 751030, Odisha, India

Abstract: In the framework of relativistic mean field theory using NL3, NL3*, NLSH, DD-PC1 and DD-ME2 parameter sets, the ground state binding energy, charge radius, quadrupole deformation parameter of three key isotopes of Zr, i.e., ^90,92,94Zr has been studied. The results are compared with the experimental data and are found in reasonable agreement. The two-neutron separation energy and β-decay half-life of these isotopes are also evaluated. Total reaction and elastic differential scattering cross-section are also studied for these isotopes as projectile with ¹²C as target, using above parameter sets in conjunction with Glauber model and results are compared with the experimental data. All these investigations support the abundance of these three isotopes of zirconium.

Keywords: relativistic mean field theory; Glauber model; total nuclear reaction cross-section; differential elastic scattering cross-section.

DOI: 10.1504/IJNBM.2018.094912

International Journal of Nano and Biomaterials, 2018 Vol.7 No.4, pp.321 - 336

Received: 03 Apr 2017
Accepted: 26 Feb 2018
Published online: 26 Sep 2018 *

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