Instantaneous Bethe-Salpeter equation: improved analytical solution

Abstract

Studying the Bethe-Salpeter formalism for interactions instantaneous in the rest frame of the bound states described, we show that, for bound-state constituents of arbitrary masses, the mass of the ground state of a given spin may be calculated almost entirely analytically with high accuracy, without the (numerical) diagonalization of the matrix representation obtained by expansion of the solutions over a suitable set of basis states.

7 pages

References in corpus (3)

• Semirelativistic Treatment of Bound States
• Instantaneous Bethe-Salpeter Equation: Analytic Approach for Nonvanishing Masses of the Bound-State Constituents
• Instantaneous Bethe-Salpeter equation: utmost analytic approach

Cited by in corpus (8)

• Exact Solutions of Bethe-Salpeter Equations with Instantaneous Interactions
• Stability in the instantaneous Bethe-Salpeter formalism: harmonic-oscillator reduced Salpeter equation
• A semirelativistic treatment of spinless particles subject to the Yukawa potential with arbitrary angular momenta
• Stability in the instantaneous Bethe-Salpeter formalism: reduced exact-propagator bound-state equation with harmonic interaction
• A semi-relativistic treatment of spinless particles subject to the nuclear Woods-Saxon potential
• Exact-propagator instantaneous Bethe-Salpeter equation for quark-antiquark bound states
• Instantaneous Bethe-Salpeter View of Goldstone-Type Pseudoscalar Mesons
• Analytical Solution of two-body spinless Salpeter Equation for Hellmann Potential