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Title: Infinite-rank separable expansion for the three-body T matrix at energies in the continuous spectrum region

Abstract

A method for expanding a three-particle T matrix at energies above the two-particle threshold as an infinite series of separable terms, based on the Schmidt theorem, is presented. The Yamaguchi-type separable potential is assumed for the two-nucleon interaction. The application of this expansion to the calculation of a four-body resonance is studied by giving a numerical example. The convergence of the Schmidt expansion is comparable to that of the Hilbert-Schmidt expansion at energies below the two-particle threshold.

Authors:
Publication Date:
Research Org.:
Department of Applied Physics, Tokyo University of Agriculture and Technology, Naka-machi, Koganei-shi, Tokyo, Japan
OSTI Identifier:
6789805
Resource Type:
Journal Article
Journal Name:
Phys. Rev. C; (United States)
Additional Journal Information:
Journal Volume: 26:6
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; THREE-BODY PROBLEM; S MATRIX; SCHMIDT MODEL; FADDEEV EQUATIONS; FOUR-BODY PROBLEM; INTEGRAL EQUATIONS; NUCLEAR STRUCTURE; SCATTERING AMPLITUDES; AMPLITUDES; EQUATIONS; MANY-BODY PROBLEM; MATRICES; 653003* - Nuclear Theory- Nuclear Reactions & Scattering

Citation Formats

Matsui, Y. Infinite-rank separable expansion for the three-body T matrix at energies in the continuous spectrum region. United States: N. p., 1982. Web. doi:10.1103/PhysRevC.26.2620.
Matsui, Y. Infinite-rank separable expansion for the three-body T matrix at energies in the continuous spectrum region. United States. https://doi.org/10.1103/PhysRevC.26.2620
Matsui, Y. 1982. "Infinite-rank separable expansion for the three-body T matrix at energies in the continuous spectrum region". United States. https://doi.org/10.1103/PhysRevC.26.2620.
@article{osti_6789805,
title = {Infinite-rank separable expansion for the three-body T matrix at energies in the continuous spectrum region},
author = {Matsui, Y},
abstractNote = {A method for expanding a three-particle T matrix at energies above the two-particle threshold as an infinite series of separable terms, based on the Schmidt theorem, is presented. The Yamaguchi-type separable potential is assumed for the two-nucleon interaction. The application of this expansion to the calculation of a four-body resonance is studied by giving a numerical example. The convergence of the Schmidt expansion is comparable to that of the Hilbert-Schmidt expansion at energies below the two-particle threshold.},
doi = {10.1103/PhysRevC.26.2620},
url = {https://www.osti.gov/biblio/6789805}, journal = {Phys. Rev. C; (United States)},
number = ,
volume = 26:6,
place = {United States},
year = {Wed Dec 01 00:00:00 EST 1982},
month = {Wed Dec 01 00:00:00 EST 1982}
}