团簇模型中包含张量效应的简化方法的改进
Improved version of simplified method for including tensor effect in cluster models
摘要：
张量贡献可以以简化的方式直接并入簇模型中。在传统的$α$团簇模型中，由于$α$团簇的反对称效应和空间对称性，非中心相互作用的贡献正好抵消。考虑到自旋轨道和张量效应，需要对$α$团簇的破缺组分进行混合。以前我们提出了一个简化的方法，包括自旋-轨道效应，也为张量部分，一个简化的模型，直接考虑张量相互作用的贡献（称为SMT）被引入，但张量相互作用的贡献是相当有限的。本文对SMT进行了改进，称之为$i$ SMT。使用新提出的$i$ SMT，在$^4$ He张量相互作用的贡献是超过$-40$ MeV，四倍以上，比以前的版本。该方法应用于$^{16}$ O的四- $α$簇结构.在$^{16}$ O中，张量贡献也很大，这是由于四面体构型的$α$团簇之间距离的有限尺寸效应。
英文摘要：
The tensor contribution can be directly incorporated in the cluster model in a simplified way. In conventional $α$ cluster models, the contribution of the non-central interactions exactly cancels because of the antisymmetrization effect and spatial symmetry of $α$ clusters. The mixing of breaking components of $α$ clusters to take into account the spin-orbit and tensor effects is needed. Previously we proposed a simplified method to include the spin-orbit effect, and also for the tensor part, a simplified model to directly take into account the contribution of the tensor interaction (called SMT) was introduced; however the contribution of the tensor interaction was quite limited. Here we improve SMT, which is called $i$SMT. Using newly proposed $i$SMT, the contribution of the tensor interaction in $^4$He is more than $-40$ MeV, four times larger than the previous version. The method is applied to four-$α$ cluster structure of $^{16}$O. In $^{16}$O, the tensor contribution is also large, and this is coming from the finite size effect for the distances among $α$ clusters with a tetrahedral configuration.
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