Renormalized Brueckner-Hartree-Fock Calculations Using Different Prescriptions for the Intermediate-State Spectrum

Abstract

Calculations of the spherical nuclei ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$, and ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$ are presented for $G$ matrices which differ in the definition of the particle spectrum. Detailed comparisons are made using pure harmonic-oscillator, shifted oscillator, and $\mathrm{QTQ}$ intermediate-state spectra. Attention is particularly focused on the saturation properties of the various $G$ matrices. The $\mathrm{QTQ}$ prescription seems to give somewhat better saturation properties than the oscillator prescriptions. A comparison is made in ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$ between the $\mathrm{QTQ}$ results and some results obtained by Negele. A study is also made of the importance of the relative partial waves not defined in the Reid soft-core potential.