Continued-fraction representation of propagator functions in a Bethe-Salpeter model

Journal Article · Thu Nov 15 04:00:00 EST 1973 · Phys. Rev., D, v. 8, no. 10, pp. 3626-3632

DOI:https://doi.org/10.1103/PhysRevD.8.3626· OSTI ID:4312147

Biswas, S N; Singh, S; Vidhani, T

Using the well-known relation between the vertex function and the Bethe-Salpeter amplitude and knowledge of the bound-state energy eigenvalues of the Bethe-Salpeter equation, a continued fraction representation for the modified meson propagator D'_F is obtained. The Bethe-Salpeter equation for the nucleon-antinucleon problem with a massless-pseudoscalar-meson coupling is solved in a certain approximation, and the corresponding energy eigenvalues are determined through a continued-fraction technique. We have considered the nucleon both as a Dirac particle and also as a scalar particle. The analytic properties of the continued fraction are discussed and the existence of a Lehmann spectral-function representation for the D'_F obtained in the approximation is shown. (auth)

• Research Organization: Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-023349
• OSTI ID: 4312147
• Journal Information: Phys. Rev., D, v. 8, no. 10, pp. 3626-3632, Journal Name: Phys. Rev., D, v. 8, no. 10, pp. 3626-3632; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

*BETHE-SALPETER EQUATION-- NUCLEON-ANTINUCLEON INTERACTIONS
COUPLING
EIGENVALUES
N76200* --Physics (Theoretical)--Quantum Field Theories
PROPAGATOR
PSEUDOSCALAR MESONS
VERTEX FUNCTIONS
WAVE FUNCTIONS