‘‘Exact’’ relativistic theory of two-body bound-state wave functions

1986 ◽  
Vol 34 (5) ◽  
pp. 1920-1934 ◽  
Author(s):  
R. S. Bhalerao ◽  
C. S. Warke
Keyword(s):  
Relativistic Theory ◽  
Bound State ◽  
Wave Functions ◽  
State Wave

Erratum: "Exact" relativistic theory of two-body bound-state wave functions

1987 ◽  
Vol 36 (1) ◽  
pp. 467-467 ◽  
Author(s):  
R. S. Bhalerao ◽  
C. S. Warke
Keyword(s):  
Relativistic Theory ◽  
Bound State ◽  
Wave Functions ◽  
State Wave

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.

Qualitative Plots of Bound State Wave Functions

1971 ◽  
Vol 39 (8) ◽  
pp. 961-962 ◽  
Author(s):  
A. P. French ◽  
Edwin F. Taylor
Keyword(s):  
Bound State ◽  
Wave Functions ◽  
State Wave
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