Threshold-Aligned Pygmy Dipole Strength in Astrophysical $(n,{\hat{I}}^3)$ and $({\hat{I}}^3,n)$ Reactions

Abstract

Reaction-rate calculations relevant to r-process nucleosynthesis depend sensitively on the nuclear ${\hat{I}}^3$-strength function (${\hat{I}}^3$SF). Here we investigate the impact of low-lying pygmy dipole strength (PDS) in $(n,{\hat{I}}^3)$ and $({\hat{I}}^3,n)$ reactions using ${\hat{I}}^3$SF based on relativistic nuclear energy density functional theory and propagate these strengths into Hauser--Feshbach statistical model calculations of the reaction rates. We show that considerable reaction-rate enhancements at temperatures relevant for r-process nucleosynthesis are governed by the alignment of the pygmy dipole strength energy with the neutron separation threshold $S_n$ rather than by the total low-energy strength. Consequently, nuclei such as ${}^{68}$Ni and ${}^{132}$Sn, where the PDS energy-$S_n$ alignment occurs, exhibit the strongest effects on reaction-rate enhancements. These results demonstrate that modeling reliable reaction rates in r-process nucleosynthesis necessitates accurate microscopic descriptions of low-energy dipole strength, in close synergy with experimental investigations in the vicinity of neutron threshold.