This article is cited in 17 papers

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

M. Kh. Shermatov

Uzbekistan Academy of Sciences, Samarkand Branch

Abstract: 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 $-\infty$.

Keywords: Hamiltonian, point interaction, symmetric operator, Skornyakov–Ter-Martirosyan extension, self-adjoint solution.

Received: 04.09.2002

DOI: 10.4213/tmf226

 English version: Theoretical and Mathematical Physics, 2003, 136:2, 1119–1130

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