EXTENSION OF 2-BODY DIRAC EQUATIONS TO GENERAL COVARIANT INTERACTIONS THROUGH A HYPERBOLIC TRANSFORMATION

被引:39
作者
CRATER, HW [1 ]
VANALSTINE, P [1 ]
机构
[1] PACIFIC SIERRA RES CORP,LOS ANGELES,CA 90025
关键词
D O I
10.1063/1.528649
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In previous work, Dirac's constraint mechanics and supersymmetry were used to construct two-body Dirac equations for particles interacting through world scalar and vector potentials. The resulting compatible 16-component wave equations, ℓ1 ψ = γ51 (γ1 ̇(p1 - Ã1) + m1 + S̃1)ψ = 0, ℓ2 ψ = γ52 (γ2 ̇(p2 - Ã2) + m2 + S̃2)ψ = 0, yield Schrödinger-like equations in the center-of-momentum (c.m.) system with simpler structure than that possessed by the Bethe-Salpeter equation or any of its standard three-dimensional truncations. For strong interactions, these equations have yielded a relativistic quark model for meson spectroscopy, while for electromagnetic interactions they have yielded a family of exact singlet positronium solutions. This paper uncovers a hyperbolic interaction structure in these equations. This structure is used to generalize these equations to include pseudoscalar, pseudovector, and tensor interactions. © 1990 American Institute of Physics.
引用
收藏
页码:1998 / 2014
页数:17
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