Solving the homogeneous Bethe-Salpeter equation

Journal Article · Thu Feb 01 04:00:00 EST 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.53.1482· OSTI ID:278579

Harada, M ^[1]; Yoshida, Y ^[2]

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1. Department of Physics, Syracuse University, Syracuse, New York 13244-1130 (United States)
2. Department of Physics, Kyoto University, Kyoto, 606-01 (Japan)

We study a method for solving the homogeneous Bethe-Salpeter equation. By introducing a {open_quote}{open_quote}fictitious{close_quote}{close_quote} eigenvalue {lambda} the homogeneous Bethe-Salpeter equation is interpreted as a linear eignevalue equation, where the bound state mass is treated as an input parameter. Using the improved ladder approximation with a constant fermion mass, we extensively study the spectrum of the fictitious eigenvalue {lambda} for the vector bound states and find the discrete spectrum for a vanishing bound state mass. We also evaluate the bound state masses by tuning the appropriate eigenvalue to be unity, and find massless vector bound states for specific values of the constant fermion masses. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 278579
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 3 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BETHE-SALPETER EQUATION
BOUND STATE
EIGENVALUES
FERMIONS
MASS
NUMERICAL SOLUTION