Bound-state wave functions and bound-state scattering in relativistic field theory

1975 ◽  
Vol 11 (2) ◽  
pp. 257-278 ◽  
Author(s):  
Kerson Huang ◽  
H. Arthur Weldon
Keyword(s):  
Field Theory ◽  
Bound State ◽  
Wave Functions ◽  
Relativistic Field ◽  
Relativistic Field Theory ◽  
State Wave

On the relativistic field theory model of the deuteron

1995 ◽  
Vol 361 (1-4) ◽  
pp. 74-80 ◽  
Author(s):  
A.N. Ivanov ◽  
N.I. Troitskaya ◽  
M. Faber ◽  
H. Oberhummer
Keyword(s):  
Field Theory ◽  
Theory Model ◽  
Relativistic Field ◽  
Relativistic Field Theory ◽  
Field Theory Model

RETARDATION EFFECTS IN COVARIANT THREE-DIMENSIONAL BOUND STATE WAVE FUNCTIONS

2005 ◽  
Vol 14 (06) ◽  
pp. 931-947 ◽  
Author(s):  
F. PILOTTO ◽  
M. DILLIG
Keyword(s):  
Bound States ◽  
Three Dimensional ◽  
Bound State ◽  
Relative Energy ◽  
Wave Functions ◽  
Three Dimensions ◽  
State Wave ◽  
Scalar Diquark ◽  
Bound State Wave Function ◽  
Retardation Effects

We investigate the influence of retardation effects on covariant 3-dimensional wave functions for bound hadrons. Within a quark-(scalar) diquark representation of a baryon, the four-dimensional Bethe–Salpeter equation is solved for a 1-rank separable kernel which simulates Coulombic attraction and confinement. We project the manifestly covariant bound state wave function into three dimensions upon integrating out the non-static energy dependence and compare it with solutions of three-dimensional quasi-potential equations obtained from different kinematical projections on the relative energy variable. We find that for long-range interactions, as characteristic in QCD, retardation effects in bound states are of crucial importance.

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