Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

APPROXIMATE SOLUTION OF THE BETHE-SALPETER EQUATION FOR TWO FERMIONS

Journal Article · · Progr. Theoret. Phys. (Kyoto)
DOI:https://doi.org/10.1143/PTP.25.178· OSTI ID:4040026
The eigerfunction and the binding energy of the ground state are obtained for a bound state of two fermions, which interact through photons or scalar photons in the ladder approximation. The Bethe-Salpeter equation is separated into four independent sets of equations by applying the Tani-Foldy- Wouthuysen transformations. These equations are further simplified by neglecting part of the recoil. Retardation is completely taken into account. The wave function is expanded in a form convenient for obtaining spin singlet and triplet solutions. As an example, the ground state of positronium is solved. (auth)
Research Organization:
Tokyo Univ.
Sponsoring Organization:
USDOE
NSA Number:
NSA-15-022904
OSTI ID:
4040026
Journal Information:
Progr. Theoret. Phys. (Kyoto), Journal Name: Progr. Theoret. Phys. (Kyoto) Vol. Vol: 25
Country of Publication:
Country unknown/Code not available
Language:
English

Similar Records

Noninstantaneous approximation to the Bethe-Salpeter equation
Journal Article · Fri Jul 01 00:00:00 EDT 1983 · Phys. Rev. C; (United States) · OSTI ID:5830564

Bethe-Salpeter equation for a four fermion system I
Journal Article · Mon Aug 01 00:00:00 EDT 1988 · Mod. Phys. Letters B; (United States) · OSTI ID:6736996

GENERAL SOLUTION OF THE BETHE-SALPETER EQUATION IN INSTANTANEOUS INTERACTION APPROXIMATION
Journal Article · Sun Jun 01 00:00:00 EDT 1958 · Progr. Theoret. Phys. (Kyoto) · OSTI ID:4304350

Related Subjects