Bulk and spectroscopic nuclear properties within an ab initio renormalized random-phase approximation framework

Abstract

A modern chiral potential incorporating the three-body force is adopted to investigate bulk properties, spectra, and nuclear responses of closed-(sub)shell nuclei throughout the nuclear chart within a particle-hole (p-h) renormalized random-phase approximation (RRPA) scheme using a Hartree- Fock (HF) single-particle basis. Our analysis shows that all instabilities induced by the quasiboson approximation (QBA) underlying RPA are removed and an overall better consistency with the experiments is achieved for all observables of the investigated nuclei. The residual discrepancies point out the need of going beyond the p-h space.

Figures (5)

• Figure 1: (Color online) Convergence of the RRPA binding energy per nucleon, and charge radii versus the HO frequency $\hbar \omega$ for different numbers $N_{\mathrm{max}}$ of HO major shells. The dash-dotted lines indicate experimental values NuDatAngeli13.
• Figure 2: (Color online) Systematic of the HF, PT, RPA, and RRPA binding energies per nucleon, and charge radii versus the empirical values taken from NuDatAngeli13.
• Figure 3: (Color online) Selected low-lying levels of $^{16}$O (top) and $^{90}$Zr (bottom) calculated within TDA, RPA, and RRPA.
• Figure 4: (Color online) RPA versus RRPA reduced $\mathrm{E}1$ strength distributions (left) and the energy-weighted running sums normalized to Thomas-Reiche-Kuhn (TRK) sum rule (right). Arrows indicate the energy centroids calculated as ratio between energy-weighted and non-weighted sums $m_{1}^{}/m_{0}^{}$. Experimental values were adopted from Goriely-et-al-2019 (Ahrens et al. 1972 & Askin et al. 1972 data sets).
• Figure 5: (Color online) Running sum of RPA and RRPA backward amplitudes (left), and deviations of the RRPA from the HF occupation numbers $\Delta n_{a}^{}=n_{a}^{\mathrm{RRPA}}-n_{a}^{\mathrm{HF}}$ (right) in $^{16}$O and $^{90}$Zr. Phonons and single-particle states are ordered according to energy.