Complex Kohn variational principle for the solution of Lippmann-Schwinger equations

Journal Article · Tue Dec 01 00:00:00 EST 1992 · Journal of Computational Physics; (United States)

DOI:https://doi.org/10.1016/0021-9991(92)90412-R· OSTI ID:6818597

Adhikari, S K ^[1]

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1. Universidade Estadual Paulista, Sao Paulo (Brazil)

A recently proposed version of the Kohn variational principle for the t matrix incorporating the correct boundary condition is applied for the first time to the study of nucleon-nucleon scattering. Analytic expressions can be obtained for all the integrals in the method for a wide class of potentials and for a suitable choice of trial functions. Closed-form analytic expressions for these integrals are given for Yakawa and exponential potentials. Calculations with two commonly used S-wave nucleon-nucleon potentials show that the method may converge faster than other solution schemes not only for the phase-shifts but also for the off-shell t matrix elements if the freedom in the choice of the trial function is exploited. 19 refs., 3 tabs.

• OSTI ID: 6818597
• Journal Information: Journal of Computational Physics; (United States), Vol. 103:2; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LIPPMANN-SCHWINGER EQUATION
VARIATIONAL METHODS
NUCLEON-NUCLEON INTERACTIONS
SCATTERING
PHASE SHIFT
S MATRIX
S WAVES
BARYON-BARYON INTERACTIONS
CALCULATION METHODS
EQUATIONS
HADRON-HADRON INTERACTIONS
INTEGRAL EQUATIONS
INTERACTIONS
MATRICES
PARTIAL WAVES
PARTICLE INTERACTIONS
663430* - Nucleon-Induced Reactions & Scattering- (1992-)
990200 - Mathematics & Computers
662130 - General Theory of Particles & Fields- S-Matrix Theory
Relativistic Scattering Theory- (1992-)