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

Journal Article · Wed Dec 01 00:00:00 EST 1982 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.26.2620· OSTI ID:6789805

Matsui, Y

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.

• Research Organization: Department of Applied Physics, Tokyo University of Agriculture and Technology, Naka-machi, Koganei-shi, Tokyo, Japan
• OSTI ID: 6789805
• Journal Information: Phys. Rev. C; (United States), Vol. 26:6
• Country of Publication: United States
• Language: English

Related Subjects

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