Normalization of bound-state solutions to the Breit equation

Journal Article · Wed Mar 15 04:00:00 EST 1989 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.39.1787· OSTI ID:6313449

Malenfant, J

We derive the spin-(1/2), two-particle Breit equation from the Bethe-Salpeter equation with instantaneous interaction kernel, and solve for the relative time dependence of the resulting Bethe-Salpeter amplitude psi(x). As t..-->.. +- infinity, psi(x) increases exponentially in Dirac hole theory, but goes to zero in single-electron theory. Assuming single-electron theory, a normalization condition is derived for psi(r,0), the solution to the Breit equation, from the normalization for the Bethe-Salpeter amplitude.

• Research Organization: Department of Physics, University of California, Los Angeles, California 90024-1547
• OSTI ID: 6313449
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 39:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BETHE-SALPETER EQUATION
BOUND STATE
BOUNDARY CONDITIONS
DELTA FUNCTION
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELEMENTARY PARTICLES
EQUATIONS
FUNCTIONS
INTERACTIONS
KERNELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
POSTULATED PARTICLES
QUARKS
SPACE-TIME
SPIN
TIME DEPENDENCE
WAVE EQUATIONS