Intermediate-coupling structure of odd-A nuclei in the 2s–1d shell

Abstract

The positive parity energy spectra of ²⁹Si, ³¹P, and ³⁵Cl are calculated in terms of a modified intermediate-coupling model. The vibrating cores are assumed to be ²⁸Si, ³²S, and ³⁶Ar respectively, with the 1d_3/2, 2s_1/2, and 1d_5/2 orbits available to particle and hole states. Account is taken of the anharmonicity of the two-phonon core states. The calculated energy spectra and decay schemes are in agreement with recent experimental results with parameter values consistent with previous studies in the s–d shell.