Eur. Phys. J. A (2017) 53: 146
https://doi.org/10.1140/epja/i2017-12339-9

Regular Article - Theoretical Physics

Search for + core states in even-even Cr isotopes

¹ Instituto de Física, Universidade de São Paulo, Rua do Matão, 1371, CEP 05508-090, Cidade Universitária, São Paulo, SP, Brazil
² Departamento de Mecânica, Instituto Federal de Educação, Ciência e Tecnologia de São Paulo - Campus São Paulo, Rua Pedro Vicente, 625, CEP 01109-010, Canindé, São Paulo, SP, Brazil

^* e-mail: marsouza@if.usp.br

Received: 13 March 2017
Accepted: 13 June 2017
Published online: 13 July 2017

Abstract

The + core structure is investigated in even-even Cr isotopes from the viewpoint of the local potential model. The comparison of values for even-even Cr isotopes and even-even isobars indicates that ⁴⁶Cr and ⁵⁴Cr are the most favorable even-even Cr isotopes for the + core configuration. The ground state bands of the two Cr isotopes are calculated through a local + core potential containing a nuclear term with (1 + Gaussian) (W.S. + W.S.³) shape. The calculated spectra give a very good description of most experimental ⁴⁶Cr and ⁵⁴Cr levels, including the bandheads. The reduced -widths, rms intercluster separations and B(E2) transition rates are determined for the ground state bands. The calculations reproduce the order of magnitude of the available experimental B(E2) values without using effective charges, indicate that the low-spin members of the ground state bands present a stronger -cluster character, and point out that the ⁴⁶Cr ground state band has a significant degree of -clustering in comparison with ⁴⁴Ti . The volume integral per nucleon pair and rms radius obtained for the + ⁵⁰Ti potential are consistent with those reported previously in the analysis of elastic scattering on ⁵⁰Ti.