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arXiv 1602.07052nucl-thastro-ph.SR
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在$rp$过程条件下奇异丰质子等待点核的$β$衰变半衰期和原子核结构

$β$-decay half-lives and nuclear structure of exotic proton-rich waiting point nuclei under $rp$-process conditions

Jameel-Un Nabi, Mahmut Böyükata

摘要:

本文在质子-中子准粒子无规相近似(\mbox{pn-QRPA})和相互作用玻色子模型-1(\mbox{IBM-1})的框架下研究了$A\sim70$质量区的偶偶核。本文计算了Zn、Ge、Se、Kr和Sr等原子核在相同质子数和中子数$N = Z$下的能谱和势能面$V(β,γ)$。对\mbox{IBM-1}哈密顿量进行参数化,计算了基态能带的能级。根据经典极限下的\mbox{IBM-1}哈密顿量,通过绘制势能面$V(β,γ)$,预测了原子核的几何形状。\mbox{pn-QRPA}模型后来被用来计算缺中子核的半衰期,发现与测量值非常吻合。\mbox{pn-QRPA}模型也被用来计算Gamow-Teller强度分布,并被发现是在体面的协议与实测数据。我们进一步计算了这些$N$ = $Z$等待点(WP)核在恒星环境中采用\mbox{pn-QRPA}模型的电子捕获和正电子衰变率。对于$rp$ -过程的条件下,我们的总弱率是在一个因素2相比,Skyrme HF+BCS+QRPA计算。所有计算的电子捕获率是可比的竞争正电子衰变率下$rp$工艺条件。我们的研究证实了这一发现,电子捕获率形成的一个组成部分的弱率下$rp$过程的条件下,不应该被忽略的核网络计算。

英文摘要:

We investigate even-even nuclei in the $A\sim70$ mass region within the framework of the proton-neutron quasi-particle random phase approximation (\mbox{pn-QRPA}) and the interacting boson model-1 (\mbox{IBM-1}). Our work includes calculation of the energy spectra and the potential energy surfaces $V(β,γ)$ of Zn, Ge, Se, Kr and Sr nuclei with the same proton and neutron number, $N = Z$. The parametrization of the \mbox{IBM-1} Hamiltonian was performed for the calculation of the energy levels in the ground state bands. Geometric shape of the nuclei was predicted by plotting the potential energy surfaces $V(β,γ)$ obtained from the \mbox{IBM-1} Hamiltonian in the classical limit. The \mbox{pn-QRPA} model was later used to compute half-lives of the neutron-deficient nuclei which were found to be in very good agreement with the measured ones. The \mbox{pn-QRPA} model was also used to calculate the Gamow-Teller strength distributions and was found to be in decent agreement with the measured data. We further calculate the electron capture and positron decay rates for these $N$ = $Z$ waiting point (WP) nuclei in the stellar environment employing the \mbox{pn-QRPA} model. For the $rp$-process conditions, our total weak rates are within a factor two compared with the Skyrme HF+BCS+QRPA calculation. All calculated electron capture rates are comparable to the competing positron decay rates under $rp$-process conditions. Our study confirms the finding that electron capture rates form an integral part of the weak rates under $rp$-process conditions and should not be neglected in the nuclear network calculations.

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