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arXiv · hep-th/9710108

Three-particle States in Nonrelativistic Four-fermion Model

A. N. Vall·S. E. Korenblit·V. M. Leviant·D. V. Naumov·A. V. Sinitskaya
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Abstract

On a nonrelativistic contact four-fermion model we have shown that the simple Lambda-cut-off prescription together with definite fine-tuning of the Lambda dependency of "bare"quantities lead to self-adjoint semi-bounded Hamiltonian in one-, two- and three-particle sectors. The fixed self-adjoint extension and exact solutions in two-particle sector completely define three-particle problem. The renormalized Faddeev equations for the bound states with Fredholm properties are obtained and analyzed.

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A. N. Vall, S. E. Korenblit, V. M. Leviant, D. V. Naumov, A. V. Sinitskaya. 1997-10-14. Three-particle States in Nonrelativistic Four-fermion Model. https://doi.org/10.1080/01422419808240883

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