Relation between proton and neutron asymptotic normalization coefficients for light mirror nuclei and its relevance for nuclear astrophysics
Relation between proton and neutron asymptotic normalization coefficients for light mirror nuclei and its relevance for nuclear astrophysics
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光镜核质子和中子渐近归一化系数之间的关系及其与核天体物理学的相关性
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
S. Krewald
中科院分区：
文献类型：
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作者：
A. Sibirtsev;J. Haidenbauer;Hans;S. Krewald
摘要。在镜像共轭单核子重叠积分中，由于核子-核子相互作用的电荷对称性，使得渐近归一化系数（ANCs）之间存在一定的关系。这种关系可以用一个简单的解析公式来近似，该公式涉及镜像中子和质子分离能、核电荷和强核-核相互作用的范围。我们进行了详细的微观多通道簇模型计算，并将其预测与简单的解析公式以及单粒子模型中的计算进行了比较，其中假设了潜在井中的镜像对称性和光谱因素。在微观聚类模型计算的基础上验证了后一种假设的有效性。对于其中一个状态高于质子衰变阈值的镜像对，在质子部分宽度和镜像中子的ANC之间存在联系。这种联系由一个近似的解析公式给出，类似于绑定镜像对的解析公式。我们将这个公式的预测结果与微观集群模型的计算结果进行了比较。使用稳定或“低放射性”光束测量的中子ANCs， ANCs中的镜像对称性可以用来预测质子在恒星能量下捕获的截面。
Abstract.It has been realised recently that charge symmetry of the nucleon-nucleon interaction leads to a certain relation between Asymptotic Normalization Coefficients (ANCs) in mirror-conjugated one-nucleon overlap integrals. This relation can be approximated by a simple analytical formula that involves mirror neutron and proton separation energies, the core charge and the range of the strong nucleon-core interaction. We perform detailed microscopic multi-channel cluster model calculations and compare their predictions to the simple analytical formula as well as to calculations within a single-particle model in which mirror symmetry in potential wells and spectroscopic factors are assumed. The validity of the latter assumptions is verified on the basis of microscopic cluster model calculations. For mirror pairs in which one of the states is above the proton decay threshold, a link exists between the proton partial width and the ANC of the mirror neutron. This link is given by an approximate analytical formula similar to that for a bound-bound mirror pair. We compare predictions of this formula to the results of microscopic cluster model calculations. Mirror symmetry in ANCs can be used to predict cross sections for proton capture at stellar energies using neutron ANCs measured with stable or “less radioactive” beams.