Eur. Phys. J. Special Topics 229, 2619–2628 (2020)
https://doi.org/10.1140/epjst/e2020-000151-y

Regular Article

Spectral statistics of energy levels of ¹⁵²Dy

¹ Department of Physics, Indian Institute of Technology Bombay, Mumbai 400071, India
² Saha Institute of Nuclear Physics, Kolkata 700064, India
³ Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai 400085, India
⁴ Homi Bhabha National Institute, Mumbai 400094, India
⁵ UM-DAE Centre for Excellence in Basic Sciences, Kalina, Mumbai 400098, India

^a e-mail: srjain@barc.gov.in

Received: 7 July 2020
Accepted: 28 August 2020
Published online: 23 October 2020

Abstract

We carry out a study on various configurations admissible in a superdeformed nucleus, ¹⁵²Dy. Our interest is in extracting the nature of spectral fluctuations and compare with those of random matrix theory. In particular, we study the distribution functions of ratios of the nearest-neighbor spacing of the energy levels. This does not require usage for the average level density. For several variations of shapes, the energy levels have been calculated in a self-consistent manner, and their fluctuations show that the energy levels are correlated in a manner expected for the eigenvalues of quantum systems which are classically non-integrable. Due to limited size of level sequences in each symmetry class, our results may be termed only indicative.