Numerical Method for Solving Two-Body Bound-State Bethe-Salpeter Equations for Unequal Constituent Masses

被引：0

作者：

G. B. Mainland

机构：

[1] Department of Physics,

[2] The Ohio State University,undefined

[3] Columbus,undefined

[4] OH 43210,undefined

[5] USA,undefined

来源：

Few-Body Systems | 1999年 / 26卷

关键词：

Differential Equation; Binding Force; Theoretical Technique; Ladder Approximation; Constituent Mass;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A theoretical technique is developed for obtaining finite-energy numerical solutions to a class of two-body, bound-state Bethe-Salpeter equations in the ladder approximation when the constituent masses are unequal. The class of equations is restricted to those for which the Bethe-Salpeter equation can be written as a differential equation and to situations where the coupling constant is real. Such equations can result when the binding force is created by the exchange of a massless quanta. The theoretical technique is tested numerically by obtaining finite-energy solutions of the partially-separated Bethe-Salpeter equation describing the unequal-mass Wick-Cutkosky model in the ladder approximation.

引用

页码：27 / 41

页数：14

共 38 条

[31] Elucidating Solvatochromic Shifts in Two-Dimensional Photocatalysts by Solving the Bethe-Salpeter Equation Coupled with Implicit Solvation Method
Kim, Se-Jun
Lebegue, Sebastien
Ringe, Stefan
Kim, Hyungjun
JOURNAL OF PHYSICAL CHEMISTRY LETTERS, 2024, 15 (17): : 4575 - 4580
[32] Nystrom plus correction method for solving bound-state equations in momentum space
Tang, A
Norbury, JW
PHYSICAL REVIEW E, 2001, 63 (06):
[33] A method for solving reaction and bound-state few-body problems: A > 3
Efros V.D.
Bulletin of the Russian Academy of Sciences: Physics, 2008, 72 (6) : 822 - 826
[34] Simple high-accuracy method for solving bound-state equations with the Cornell potential in momentum space
Stadler, Alfred
Biernat, Elmar P.
Valverde, Vasco
PHYSICAL REVIEW D, 2024, 110 (11)
[35] Using Analytical Solutions at Large Momentum Transfer to Obtain Zero-Energy, Bound-State, Bethe-Salpeter Solutions of a Scalar and Spin-1/2 Fermion Exchanging Photons
Mainland, G. B.
FEW-BODY SYSTEMS, 2015, 56 (4-5) : 197 - 218
[36] Accurate three-nucleon bound-state calculation with an extended separable expansion of the two-body t-matrix
Koike Y.
Parke W.C.
Maximon L.C.
Lehman D.R.
Few-Body Systems, 1998, 23 (1-2) : 53 - 73
[37] Accurate three-nucleon bound-state calculation with an extended separable expansion of the two-body T-matrix
Koike, Y
Parke, WC
Maximon, LC
Lehman, DR
FEW-BODY SYSTEMS, 1997, 23 (1-2) : 53 - 73
[38] A PADE EXTRAPOLATED INVERSE POWER METHOD FOR COUPLED SCHRODINGER-LIKE EQUATIONS APPLIED TO THE 2-BODY RELATIVISTIC BOUND-STATE PROBLEM IN QUANTUM ELECTRODYNAMICS
CRATER, HW
JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 115 (02) : 470 - 484

← 1 2 3 4 →