Lepton (electron and positron) capture rates on iron-regime nuclei are an essential element for modeling the late stages of progression of massive stars that become core collapse and thermonuclear supernova. As per previous simulation studies, lepton capture (LC) rates on isotopes of vanadium are believed to have a substantial effect in regulating the Ye (lepton to baryon fraction) during the final evolutionary phases. The present work involves the calculation of lepton capture rates for 22 isotopes of vanadium by making use of the proton-neutron (pn-) quasiparticle random phase approximation (QRPA) model. The covered mass range is from A = 43 to 64. The LC rates have been computed over stellar densities ranging from $10^{1}$ to $10^{11}$ (g/cm3) and for the temperature range $10^{7} - 3 \times 10^{10}$ (K). A comparison of our calculated LC rates to the rates computed using other models (IPM and LSSM) has also been presented. As compared to the rates calculated by other models, pn-QRPA rates at high temperature ( $3 \times 10^{10}$ K) are larger by up to 1-2 orders of magnitude.

中文翻译：

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天体物理环境中钒同位素引起的轻子捕获率

铁系原子核上的轻子（电子和正电子）捕获率是模拟大质量恒星演化后期阶段的基本要素，这些恒星变成核心坍缩和热核超新星。根据之前的模拟研究，钒同位素的轻子俘获 (LC) 率被认为在最终演化阶段对调节 Ye（轻子到重子的比例）具有重大影响。目前的工作涉及利用质子 - 中子 (pn-) 准粒子随机相位近似 (QRPA) 模型计算钒的 22 种同位素的轻子捕获率。覆盖的质量范围是从 A = 43 到 64。 LC 率是在 $10^{1}$ 到 $10^{11}$ (g/cm3) 和温度范围 $10^{7 的恒星密度下计算的} - 3 \times 10^{10}$ (K)。还介绍了我们计算的 LC 速率与使用其他模型（IPM 和 LSSM）计算的速率的比较。与其他模型计算的速率相比，高温下的 pn-QRPA 速率 ($3 \times 10^{10}$ K) 高达 1-2 个数量级。