Eur. Phys. J. A (2004) 22: 213-230
https://doi.org/10.1140/epja/i2004-10045-5

Systematics of deformed states around doubly-magic ⁴⁰Ca

Physikalisches Institut, Universität Freiburg, Freiburg i.Br., Germany

Received: 1 June 2004
Accepted: 5 July 2004
Published online: 9 November 2004

Abstract

The low-lying rotational bands of A = 36-48 nuclei are consistently explained by starting from the recently discovered, superdeformed intrinsic state of ³⁶Ar as the core, filling successively the first three Nilsson orbits above the Fermi border. The critical single-particle energies were obtained from experimental data as were the residual interactions in the parametrization of Brink and Kerman. Implicit are the rearrangement energies due to configuration-dependent equilibrium deformations. The binding energies of 20 experimental bandheads were used to derive the parameters while another 38 bandheads were subsequently predicted and identified almost completely. The Racavy expression reduced by 20% reproduces or predicts the values of the deformation parameter ɛ. The empirical Nilsson model amended by γ-vibrational and rotation-aligned bands accounts completely for the multi-particle excitations from the N = 2 into the N = 3 major shell which are not accessible by shell-model calculations. In the case of ⁴⁰Ca a spectrum of 42 states below E _x = 8MeV is explained.