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Method of Extending the Blankenbecler-Sugar-Logunov-Tavkhelidze Approximation to the Bethe-Salpeter Equation

Journal Article · · Physical Review. D, Particles Fields
 [1];  [2]
  1. Brown Univ., Providence, RI (United States)
  2. Indiana Wesleyan Univ., Marion, IN (United States)
+ Show Author Affiliations

We propose a systematic method of obtaining accurate solutions to the Bethe-Salpeter (BS) equation, starting with the Blankenbecler-Sugar-Logunov-Tavkhelidze (BSLT) equation as the lowest-order approximation. For the equal-mass scattering problem, where the difference between the BS and the BSLT amplitudes is the most marked, the first-order correction we evaluate gives good agreement with the BS amplitude. We have also applied the method to the unequal-mass scattering problem, when the mass ratio is the pion-nucleon mass ratio. Here we find that the BSLT amplitude itself is a good approximation to the BS amplitude.

Research Organization:
Brown Univ., Providence, RI (United States)
Sponsoring Organization:
US Atomic Energy Commission (AEC); USDOE
NSA Number:
NSA-25-014786
OSTI ID:
4064430
Report Number(s):
NYO--2262-TA-231
Journal Information:
Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 3; ISSN 0556-2821
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (8)

Quasi-optical approach in quantum field theory journal July 1963
Theory and Calculation of Scattering with the Bethe-Salpeter Equation journal January 1966
Linear Integral Equations for Relativistic Multichannel Scattering journal February 1966
Application of Analyticity Properties to the Numerical Solution of the Bethe-Salpeter Equation journal January 1968
Study of Bound-State Solutions to the Pion-Nucleon Bethe-Salpeter Equation journal June 1968
A Relativistic Equation for Bound-State Problems journal December 1951
Bound States in Quantum Field Theory journal October 1951
Properties of Bethe-Salpeter Wave Functions journal November 1954

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BETHE-SALPETER EQUATION
Bethe-Salpeter equation
INTERACTIONS
NUCLEONS
PIONS
QUANTUM FIELD THEORY
SCATTERING
mesons
nucleons
quantum field theories
quantum field theory
theoretical physics