Normalization of bound-state solutions to the Breit equation
Journal Article
·
· Phys. Rev. D; (United States)
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), Vol. 39:6
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BETHE-SALPETER EQUATION
TIME DEPENDENCE
BOUND STATE
BOUNDARY CONDITIONS
DELTA FUNCTION
DIRAC EQUATION
KERNELS
PARTICLE INTERACTIONS
QUARKS
SPACE-TIME
SPIN
ANGULAR MOMENTUM
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FUNCTIONS
INTERACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
POSTULATED PARTICLES
WAVE EQUATIONS
645400* - High Energy Physics- Field Theory
BETHE-SALPETER EQUATION
TIME DEPENDENCE
BOUND STATE
BOUNDARY CONDITIONS
DELTA FUNCTION
DIRAC EQUATION
KERNELS
PARTICLE INTERACTIONS
QUARKS
SPACE-TIME
SPIN
ANGULAR MOMENTUM
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FUNCTIONS
INTERACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
POSTULATED PARTICLES
WAVE EQUATIONS
645400* - High Energy Physics- Field Theory