Relativistic treatment of fermion-antifermion bound states

Journal Article · Mon Jul 01 04:00:00 EDT 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.44.242· OSTI ID:5663867

Lucha, W ^[1]; Rupprecht, H; Schoeberl, F F ^[2]

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1. Institut fuer Hochenergiephysik, Oesterreichische Akademie der Wissenschaften, A-1050 Wien, Austria (AT)
2. Institut fuer Theoretische Physik, Universitaet Wien, A-1090 Wien, Austria (AT)

We discuss the relativistic treatment of fermion-antifermion bound states by an effective-Hamiltonian method which imitates their description in terms of nonrelativistic potential models: the effective interaction potential, to be used in a Schroedinger equation which incorporates relativistic kinematics, is derived from the underlying quantum field theory. This approach is equivalent to the instantaneous approximation to the Bethe-Salpeter equation called the Salpeter equation but comes closer to physical intuition than the latter one.

• OSTI ID: 5663867
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 44:1; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BETHE-SALPETER EQUATION
BOUND STATE
DIFFERENTIAL EQUATIONS
EQUATIONS
FERMIONS
FIELD THEORIES
HAMILTONIANS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SCHROEDINGER EQUATION
WAVE EQUATIONS