On Vertical Representation of Bethe-Salpeter Amplitudes

Journal Article · Sun Oct 01 00:00:00 EDT 1961 · Progress of Theoretical Physics (Kyoto)

DOI:https://doi.org/10.1143/PTP.26.470· OSTI ID:4801761

Ida, Masakuni; Maki, Kazumi

The Bethe-Salpeter equation for S-wave bound states of two scalar particles with equal mass interacting via scalar mesons is considered in the ladder approximation. It is shown that an integral representation holds for all the solutions, normal and abnormal, of the B-S equation. Use is made of the fact that the B-S equation under consideration can be written in a form of an integral equation with a real symmetric and positive kernel. Also given is a limitation on the lowest eigenvalue of such an integral kernel in terms of its first and second traces.

• Research Organization: Kyoto Univ. (Japan)
• Sponsoring Organization: USDOE
• NSA Number: NSA-16-008139
• OSTI ID: 4801761
• Journal Information: Progress of Theoretical Physics (Kyoto), Vol. 26, Issue 4; Other Information: Orig. Receipt Date: 31-DEC-62; ISSN 0033-068X
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BETA DECAY
BETA SPECTROMETERS
BETHE-SALPETER EQUATION
BINDING ENERGY
COINCIDENCE METHODS
DIFFERENTIAL EQUATIONS
EIGENVALUES
ELEMENTARY PARTICLES
ENERGY LEVELS
EXCITATION
FIELD THEORY
GAMMA DETECTION
GAMMA RADIATION
INTEGRALS
INTERACTIONS
MASS
MATHEMATICS
MEASURED VALUES
MESONS
NUCLEAR MODELS
NUMERICALS
POSITRONS
QUANTUM MECHANICS
RELATIVITY THEORY
S-WAVE
SCATTERING
SPIN
STRONTIUM 86
YTTRIUM 86