Eur. Phys. J. A (2017) 53: 132
https://doi.org/10.1140/epja/i2017-12308-4

Regular Article - Theoretical Physics

Description of identical superdeformed bands of the A ∼ 190 mass region

Dr. B.R. Ambedkar National Institute of Technology, 144011, Jalandhar, India

^* e-mail: mittal.hm@lycos.com

Received: 23 February 2017
Accepted: 3 May 2017
Published online: 22 June 2017

Abstract

The two-parameter formula/model viz. nuclear softness (NS) formula, semiclassical particle rotor model (PRM) and exponential model with pairing attenuation are used for the reliable phenomenological analysis of identical superdeformed bands. These formulae/models are employed to study the identical superdeformed bands of the mass region, { ¹⁹¹Hg(2) , ¹⁹³Hg(2) }, { ¹⁹¹Hg(3) , ¹⁹³Hg(3) }, { ¹⁹³Tl (3) , ¹⁹³Tl (5) }, { ¹⁹³Tl (1) , ¹⁹⁴Tl (3) }, { ¹⁹³Tl (1) , ¹⁹⁴Tl (4) }, { ¹⁹³Pb(3) , ¹⁹¹Hg(2) }, { ¹⁹³Pb(4) , ¹⁹¹Hg(3) }, { ¹⁹⁴Pb(1) , ¹⁹²Hg(1) }, { ¹⁹⁴Pb(1) , ¹⁹⁴Hg(1) } and middle-point identical bands { ¹⁹³Tl (1) , ¹⁹³Tl (2) }, { ¹⁹³Tl (1) , ¹⁹⁵Tl (1) } and { ¹⁹³Tl (2) , ¹⁹⁵Tl (2) }. Quantitatively, good results of -ray transitions energies and dynamic moment of inertia are obtained using the NS formula. The parameters, band-head moment of inertia ( , alignment (i and effective pairing parameter ( are calculated using the least-squares fitting of the -ray transitions energies in the NS formula, semiclassical PRM and exponential model with pairing attenuation, respectively. The calculated parameters are found to depend sensitively on the proposed band-head spin.