论文标题
$λ-α$折叠潜力的微观计算
Microscopic Calculation of $Λ-α$ Folding Potential
论文作者
论文摘要
我们基于$α$和$λ$粒子的折叠势，基于基础核子核子和超核子相互作用。从现象学$λ$ -n的潜力和$α$ - 粒子波功能的高斯形式开始，我们为已建造的$α$ - $ - $λ$相互作用，与$^5_λ$相互作用，$^5_λ$ He sate具有绑定能量（3.10 MEV），这与最新的实验数据$ 3.12 $ 3.12 \ pm 0.02 \ pm 0.02 $ MEV一致。当反过来，使用Cdbonn，Nijmegen或Argonne V18现实的核素核子潜力计算出的$α$粒子的四体Faddeev-Yakubovsky方程的精确解决方案，并使用现实的$λ$替代了现实的nijmegen nsc97fimegen nssc97fimeviant nijmegen nighoble nighoble nighopian $λ$ nearligation nucleon-nucleon潜力。 $^5_λ$他是越来越多的。特别是，其结合能由$α$粒子波函数产生的折叠电势基于cdbonn电位为7.47 meV。尽管排名可分离的$λ$ -n电位可再现原始$λ$ -n电位的确切散射长度和有效范围，但过度结合是由于缺乏假定可分离形式所需的排斥性能。
We construct a folding potential between the $α$ and $Λ$ particles based on underlying nucleon-nucleon and hyperon-nucleon interactions. Starting from a phenomenological $Λ$-N potential and a Gaussian form of the $α$-particle wave function we obtain for the built $α$-$Λ$ interaction a bound $^5_Λ$He state with the binding energy (3.10 MeV), which is consistent with recent experimental data $3.12 \pm 0.02$ MeV. When in turn an exact solution of the four-body Faddeev-Yakubovsky equation for the $α$-particle calculated with the CDBonn, Nijmegen or Argonne V18 realistic nucleon-nucleon potential is used and the phenomenological Gaussian $Λ$-N potential is replaced by the realistic (Nijmegen NSC97f) potential approximated by a rank-1 separable form, then $^5_Λ$He is overbound. In particular, its binding energy given by the folding potential generated with the $α$ particle wave function based on the CDBonn potential is 7.47 MeV. Although the rank-1 separable $Λ$-N potential reproduces the exact scattering length and the effective range of the original $Λ$-N potential, the overbinding results from the lack of the required repulsive properties in the assumed separable form.
