Two neutrino double- decay of nuclei for the transition

Yash Kaur Singh; R. Chandra; P. K. Raina; P. K. Rath

doi:10.1140/epja/i2017-12445-8

EPJ

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2023 Impact factor 2.6

Hadrons and Nuclei

Eur. Phys. J. A (2017) 53: 244
https://doi.org/10.1140/epja/i2017-12445-8

Regular Article - Theoretical Physics

Two neutrino double- $\beta$ decay of $94 \leq A \leq 150$ nuclei for the $0^{+} \rightarrow 2^{+}$ transition

Yash Kaur Singh¹, R. Chandra¹^*, P. K. Raina² and P. K. Rath³

¹ Department of Applied Physics, Babasaheb Bhimrao Ambedkar University, Lucknow, India
² Department of Physics, Indian Institute of Technology, 140001, Ropar, Rupnagar, India
³ Department of Physics, University of Lucknow, 226007, Lucknow, India

^* e-mail: ramesh.luphy@gmail.com

Received: 1 October 2017
Accepted: 9 December 2017
Published online: 22 December 2017

Abstract

Within the PHFB approach, the $0^{+}\rightarrow 2^{+}$ transition of two neutrino double- $\beta$ decay of ^{94, 96}Zr, ¹⁰⁰Mo, ¹⁰⁴Ru, ¹¹⁰Pd, ^{128, 130}Te and ¹⁵⁰Nd isotopes is studied employing wave functions generated with four different parametrizations of the pairing plus multipole type of two-nucleon interaction and the summation method. In comparison to the $0^{+}\rightarrow 0^{+}$ transition, the nuclear transition matrix elements $M_{2\nu} (2^{+})$ are quite sensitive to the deformation of the yrast 2⁺ state. Consideration of the available theoretical and experimental results suggests that the observation of the $0^{+}\rightarrow 2^{+}$ transition of $2\nu \beta^{-} \beta^{-}$ decay may be possible in ⁹⁶Zr, ¹⁰⁰Mo, ¹³⁰Te and ¹⁵⁰Nd isotopes. The effect of deformation on the $M_{2\nu} (2^{+})$ is also studied.