M. Waroquier

We describe the odd-mass indium nuclei A=119, 121 within the framework of the unified-model taking into account the coupling of single-hole and one-particle-two-hole proton configurations with quadrupole and octupole vibrations of the underlying core. Besides the energy spectra, spectroscopic factors for pickup and electromagnetic transition properties [branching ratios, T1/2(1/21+); δ(3/21-→1/21-)] are calculated and compared with experimental data, mainly for 119In: The yrast structure of the vibrational multiplet states has also been studied in lowest order perturbation theory and in the unified-model description. These calculations are also approached from a deformed zero-order description giving the total potential energy surfaces of all odd-mass In nuclei. Extensive band-mixing calculations produce energy spectra for the 1/2+ rotational-like band and are used to calculate static moments and transition rates. The equivalence with the former, spherical description is pointed out.
NUCLEAR STRUCTURE Unified-model calculations, 119In and 121In, level schemes, branching ratios T1/2(1/21+), δ(3/21-→1/21-); yrast structure of vibrational multiplet, deformed description; total potential energy surfaces; Coriolis bandmixing.

ΔJ=1 bands built on low-lying 9/2+ states (307 keV in 119I) have been observed in odd-A 117.127I (Z=53) nuclei via (6Li, 3nγ) reactions. Calculations of the total potential energy of these nuclear states in terms of a [404]9/9+ Nilsson proton hole revealed minima at significant prolate deformations (ε=0.22 for 119I). The resulting excitation energies and band spacing calculations are in good agreement with experiment. The properties of these deformed 9/2+ states, which involve a 1g9/2 proton excited through the Z=50 major shell, are compared with those of the deformed 9/2+ states previously observed in odd-Sb (Z=51) nuclei.
NUCLEAR REACTIONS 114-124Sn(6Li, 3n), ELi=25-35 MeV, measured γ-γ coincidences, γ(E, θ, t); deduced level scheme in odd-A 117-127I, γ multipolarities, Jπ. Enriched targets, Ge(Li) detectors.

NUCLEAR STRUCTURE Odd-A 117-127I, calculated 9/2+ proton-hole state energies, ΔJ=1 rotational bands.
© 1977 The American Physical Society

The inclusion of three-body forces to the effective nucleon-nucleon interaction has been frequently applied in nuclear self-consistent Hartree-Fock calculations. Thus, a dependence of the effective force on the nucleon density is exhibited, stimulating great interest in this manner. Antisymmetrized three-body matrix elements are evaluated, and applied with a zero-range three-body force within a finite basis of spherical single-particle states. The imposed antisymmetry ignores the existence of matrix elements of three identical nucleons. It provides for a better understanding of the structure of the three-body contribution to the Hartree-Fock ground state energy and for the exact relation between the three-body force and a density dependent two-body force. The discussion is given as well for spherical as for deformed nuclei. Problems concerning possible overbinding and violation of the spin stability by the zero-range three-body interaction are examined and represented in the angular momentum picture.
NUCLEAR STRUCTURE antisymmetrized three-body matrix elements; HF ground state energy contribution; equivalence to density dependent two-body forces. © 1976 The American Physical Society