Eur. Phys. J. A (2006) 28: 27-36
https://doi.org/10.1140/epja/i2005-10280-2

Nuclear Structure and Reactions

The 0⁺ → 0⁺ positron double- β decay with emission of two neutrinos in the nuclei ⁹⁶Ru, ¹⁰²Pd, ¹⁰⁶Cd and ¹⁰⁸Cd

¹ Department of Physics and Meteorology, IIT, 721302, Kharagpur, India
² Department of Physics, University of Lucknow, 226007, Lucknow, India
³ Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A.P. 70-543, México 04510 D.F., Mexico

^* e-mail: pkrath_lu@yahoo.co.in

Received: 28 December 2005
Accepted: 4 May 2006
Published online: 1 June 2006

Abstract

Theoretical results for two neutrinos in the nuclei ⁹⁶Ru, ¹⁰²Pd, ¹⁰⁶Cd and ¹⁰⁸Cd are presented. The study employs the Hartree-Fock-Bogoliubov model to obtain the wave functions of the parent and daughter nuclei, in conjunction with the summation method to estimate the double-beta decay nuclear matrix elements. The reliability of the intrinsic wave functions of ^{96, 102}Ru, ⁹⁶Mo, ^{102, 106, 108}Pd and ^{106, 108}Cd nuclei is tested by comparing the theoretically calculated spectroscopic properties with the available experimental data. The calculated half-lives T _1/2 ^2ν of ⁹⁶Ru, ¹⁰²Pd, ¹⁰⁶Cd and ¹⁰⁸Cd nuclei for 2ν β⁺β⁺, 2ν β⁺ EC and 2ν ECEC modes are presented. The effect of deformation on the nuclear transition matrix element M _2ν is also studied.