On the Analytical Solving of the Ter-Martirosian–Skornyakov Equation for Three Particles at Negative Energies

Authors

  • V.F. Kharchenko Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine

DOI:

https://doi.org/10.15407/ujpe67.8.559

Keywords:

Ter-Martirosian–Skornyakov equation, Mellin transformation

Abstract

 Simple analytical expression for the solution of the Ter-Martirosian–Skornyakov equation for
three particles at a negative energy has been obtained.

References

K.A. Ter-Martirosian, G.V. Skornyakov. Three-body problems for short-range forces. Zh. Eksp. Teor. Fiz. 31, 775 (1956).

G.S. Danilov. Three-body problems in the case of shortrange forces. Zh. Eksp. Teor. Fiz. 40, 498, (1961).

R.A. Minlos, L.D. Faddeev. Point interaction for a threeparticle system in quantum mechanics. Dokl. Akad. Nauk SSSR 141, 1335, (1961).

R.A. Minlos, L.D. Faddeev. Note on the problem of three particles with point interaction. Zh. Eksp. Teor. Fiz. 41, 1850, (1961).

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Published

2022-12-04

How to Cite

Kharchenko, V. (2022). On the Analytical Solving of the Ter-Martirosian–Skornyakov Equation for Three Particles at Negative Energies. Ukrainian Journal of Physics, 67(8), 559. https://doi.org/10.15407/ujpe67.8.559

Issue

Section

Fields and elementary particles