منابع مشابه
On the validity of the reduced Salpeter equation
We adapt a general method to solve both the full and reduced Salpeter equations and systematically explore the conditions under which these two equations give equivalent results in meson dynamics. The effects of constituent mass, angular momentum state, type of interaction, and the nature of confinement are all considered in an effort to clearly delineate the range of validity of the reduced Sa...
متن کاملStability in the Instantaneous Bethe–salpeter Formalism: Harmonic-oscillator Reduced Salpeter Equation
A popular three-dimensional reduction of the Bethe–Salpeter formalism for the description of bound states in quantum field theory is the Salpeter equation, derived by assuming both instantaneous interactions and free propagation of all bound-state constituents. Numerical (variational) studies of the Salpeter equation with confining interaction, however, observed specific instabilities of the so...
متن کاملTHE SPINLESS SALPETER EQUATION AND MESON DYNAMICS
Applying the variational method, the spinless reduced Bethe-Salpeter (RBS) equation is solved for the mesonic systems, and the mass spectra are obtained. The method is applied to the Hamiltonian with the Gaussian and hydrogen-type trial wave functions, and different potential models are examined. The results for the different potentials are in challenge in light mesons, while they are consisten...
متن کاملSchwinger-Dyson equation and Bethe-Salpeter equation
Zhi-Gang Wang , Wei-Min Yang and Shao-Long Wan 1 Department of Physics, North China Electric Power University, Baoding 071003, P. R. China † 2 CCAST (World Laboratory), P.O.Box 8730, Beijing 100080, P. R. China 3 Department of Modern Physics, University of Science and Technology of China, Hefei 230026, P. R. China In this article, we investigate the structures of the pseudoscalar mesons (π, K, ...
متن کاملFacets of the Spinless Salpeter Equation
The spinless Salpeter equation represents the simplest, and most straightforward, generalization of the Schrödinger equation of standard nonrelativistic quantum theory towards the inclusion of relativistic kinematics. Moreover, it can be also regarded as a well-defined approximation to the Bethe–Salpeter formalism for descriptions of bound states in relativistic quantum field theories. The corr...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 1996
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.53.504