团簇模型中$^9$ Be谱的自旋翻转二重态
Spin-flip doublets of $^9$Be spectrum within a cluster model
摘要：
在团簇模型$α+α+n$中研究了$^9$ Be低激发谱的结构。在模型中，每个能级的总轨道动量是固定的。因此，每个能级都被确定为对应于系统的总轨道动量（$L^π=0^+, 2^+,4^+, 1^-, 2^-,3^-, 4^-$）的自旋翻转二重态的成员。Ali-Bodmer势（模型E）用于$αα$相互作用。我们采用了本地$αn$势，它被构造来再现$α-n$散射数据。泡利阻塞模拟的排斥核心的$s$ -波分量的这些潜力。用组态空间Faddeev方程计算束缚态能量（$E_{cal.}$ =-1.493 MeV v.s.）$E_{exp.}$ =-1.5735 MeV）和共振。耦合常数解析延拓法的一个变体被应用于计算低能级的能量。可用的$^9$ Be光谱数据令人满意地再现所提出的模型。
英文摘要：
The structure of the $^9$Be low-lying spectrum is studied within the cluster model $α+α+n$. In the model the total orbital momentum is fixed for each energy level. Thus each level is determined as a member of the spin-flip doublet corresponding to the total orbital momentum ($L^π=0^+, 2^+,4^+, 1^-, 2^-,3^-, 4^-$) of the system. The Ali-Bodmer potential (model E) is applied for the $αα$ interaction. We employ a local $αn$ potential which was constructed to reproduce the $α-n$ scattering data. The Pauli blocking is simulated by the repulsive core of the $s$-wave components of these potentials. Configuration space Faddeev equations are used to calculate the energy of the bound state ($E_{cal.}$=-1.493 MeV v.s. $E_{exp.}$=-1.5735 MeV) and resonances. A variant of the method of analytical continuation in the coupling constant is applied to calculate the energies of low-lying levels. Available $^9$Be spectral data are satisfactorily reproduced by the proposed model.
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