Recent advancements in the strongly coupled many-body theory for nuclear spectral computation

TL;DR

This paper reviews recent advances in nuclear many-body theory focusing on quasiparticle-vibration coupling, and discusses numerical solutions and results related to nuclear resonances, including the pygmy dipole resonance and nuclear compressibility.

Contribution

It introduces a compact theoretical framework centered on qPVC hierarchy and presents self-consistent numerical solutions for nuclear response functions.

Findings

Fragmentation of low-energy dipole modes due to qPVC

Formation of two-component structure in pygmy dipole resonance

Sensitivity of giant monopole resonance to qPVC effects

Abstract

Some recent advancements of the nuclear many-body theory and selected results on nuclear giant and pygmy resonances are presented. The theory is compactly reviewed, with a special focus on the emergent scale of the quasiparticle-vibration coupling (qPVC), which carries the order parameter associated with the qPVC vertex, and an efficient treatment of the nuclear many-body problem organized around the qPVC hierarchy. Self-consistent numerical solutions of the relativistic Bethe-Salpeter-Dyson equation for the nuclear response function in medium-heavy nuclei are discussed. The presented update on the pygmy dipole resonance focuses on establishing the formation of its two-component structure as a result of the fragmentation of the low-energy dipole mode due to the qPVC and its mixing with the similarly fragmented giant dipole resonance. The centroid of the isoscalar giant monopole resonance is also linked to qPVC effects, particularly to its sensitivity to the coupling of the collective breathing mode to the lowest quadrupole vibrations, which is enhanced by quadrupole collectivity. The resolution of the long-standing "fluffiness" puzzle regarding the compressibility of open-shell tin isotopes is summarized. The recently developed thermal variant of the superfluid response theory is briefly introduced and continuously linked to the description of the isoscalar monopole response at finite temperature with the prospect of refining the temperature-dependent nuclear equation of state.