恒星电子俘获率对母中子数的敏感性：对20个钒同位素连续链的个例研究
Sensitivity of stellar electron-capture rates to parent neutron number: A case study on a continuous chain of twenty Vanadium isotopes
摘要：
本文采用Krumlinde和Möller的准粒子无规相近似（QRPA）和近似方法（AM），在pf壳空间中计算了来自母基态的电子俘获子体的Gamow-Teller（GT）强度分布（B（GT））。这些数据进行比较，可从衰变和电荷交换（CE）实验中的钛同位素在pf-壳层从A=43到A=62，最大的一组可用于任何链的同位素在pf-壳层。本研究是第一次检查B（GT）和相关的EC率在一个特定的同位素链的目的是检查率的灵敏度作为中子数的增加。EC率也计算了各种各样的恒星电子密度和温度提供简明的估计率敏感性的相对大小为特定的天体物理方案。这项工作强调了天体物理学的动机CE实验在逆运动学的核远离稳定的光度未来的放射性离子束设施。
英文摘要：
Gamow-Teller (GT) strength distributions (B(GT)) in electron-capture (EC) daughters stemming from the parent ground state are computed with the shell-model in the full pf-shell space, with quasi-particle random-phase approximation (QRPA) in the formalism of Krumlinde and Möller and with an Approximate Method (AM) for assigning an effective B(GT). These are compared to data available from decay and charge-exchange (CE) experiments across titanium isotopes in the pf-shell from A=43 to A=62, the largest set available for any chain of isotopes in the pf-shell. The present study is the first to examine B(GT) and the associated EC rates across a particular chain of isotopes with the purpose of examining rate sensitivities as neutron number increases. EC rates are also computed for a wide variety of stellar electron densities and temperatures providing concise estimates of the relative size of rate sensitivities for particular astrophysical scenarios. This work underscores the astrophysical motivation for CE experiments in inverse kinematics for nuclei away from stability at the luminosities of future Radioactive Ion Beam Facilities.
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