Title: Effect of Finite-Temperature $β$-Decay Rates on the Rapid Neutron Capture Process Show Chinese title

Title: 有限温度$β$衰变率对快速中子捕获过程的影响

Abstract: $\beta$-decay is known to play an essential role in the rapid neutron capture process ($r$-process) during $(n, \gamma) \leftrightarrow (\gamma, n)$ equilibrium and freeze-out when the neutron-rich nuclei decay back to stability. Recent systematic theoretical studies on $\beta$-decay at finite temperature indicated that under hot conditions ($T\sim10$~GK), a significant acceleration of $\beta$-decay rates is expected, especially for nuclei near stability. This corresponds to the early stage of the $r$-process. In this study, we investigate the effect of the $\beta$-decays in finite temperature using the rates calculated with the finite-temperature proton-neutron relativistic quasiparticle random-phase approximation (FT-PNRQRPA). We explore a variety of astrophysical conditions and find that the effect on the abundance pattern is significant in hot and moderately neutron-rich conditions such as are expected in magnetorotational supernovae. Accelerated $\beta$-decay rates also increase the heating rate in the early phase, resulting in an additional modification of the final abundance pattern. Show Chinese abstract

Abstract: $\beta$-衰变在中子富集核在$r$-过程中的快速中子捕获过程中，在$(n, \gamma) \leftrightarrow (\gamma, n)$平衡和冻结阶段衰变回稳定状态时起着关键作用。 最近对有限温度下$\beta$-衰变的系统理论研究指出，在高温条件（$T\sim10$~GK）下，预计$\beta$-衰变速率会有显著加快，特别是对于接近稳定状态的核素。 这对应于$r$-过程的早期阶段。 在本研究中，我们利用有限温度质子中子相对论准粒子随机相位近似（FT-PNRQRPA）计算的速率，研究了有限温度下$\beta$衰变的影响。 我们探索了多种天体物理条件，并发现在高温和中等富中子条件下，如磁旋转超新星中预期的条件，对丰度模式的影响是显著的。 加速的$\beta$衰变速率也会增加早期阶段的加热速率，从而导致最终丰度模式的进一步修改。