Point Interaction Between Two Fermions and One Particle of a Different Nature

被引:0
作者
M. Kh. Shermatov
机构
[1] Uzbekistan Academy of Sciences,Samarkand Branch
来源
Theoretical and Mathematical Physics | 2003年 / 136卷
关键词
Hamiltonian; point interaction; symmetric operator; Skornyakov–Ter-Martirosyan extension; self-adjoint solution;
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摘要
We consider a model of point interaction between two fermions and one particle of a different nature. The model is analogous to the Skornyakov–Ter-Martirosyan model. It is interpreted based on the self-adjoint extension theory for symmetric operators. We show that if the mass of the third particle is sufficiently smaller than the fermion mass, the corresponding energy operator has an infinite set of bound states with the energy values tending to −∞.
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页码:1119 / 1130
页数:11
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