scholarly journals Configuration mixing of angular-momentum-projected triaxial relativistic mean-field wave functions

2010 ◽  
Vol 81 (4) ◽  
Author(s):  
J. M. Yao ◽  
J. Meng ◽  
P. Ring ◽  
D. Vretenar
Keyword(s):  
Angular Momentum ◽  
Mean Field ◽  
Wave Functions ◽  
Relativistic Mean Field ◽  
Configuration Mixing ◽  
Field Wave

MEAN-FIELD THEORY OF CONFINED PARTICLES: OFF-MASS-SHELL ASPECTS OF RELATIVISTIC WAVE FUNCTIONS

1990 ◽  
Vol 05 (08) ◽  
pp. 1479-1507 ◽  
Author(s):  
V.M. BANNUR ◽  
L.S. CELENZA ◽  
HUANG-HE CHEN ◽  
SHUN-FU GAO ◽  
C.M. SHAKIN
Keyword(s):  
Mass Shell ◽  
Mean Field Theory ◽  
Mean Field ◽  
Bound State ◽  
Constituent Quark Model ◽  
Wave Functions ◽  
Hadron Structure ◽  
Relativistic Mean Field ◽  
Dependent Mass ◽  
Constituent Mass

We study nonlinear equations in two variables which arise in a theory of nontopological solitons. For simplicity, we limit our considerations to a relativistic mean-field description of two scalar particles which form a bound state. We present results for a model in which the constituents have a momentum-dependent mass whose form is motivated by nonperturbative QCD studies. We discuss the probability distribution of the squared four-momentum, k2, of a particle of momentum kμ. We also introduce a definition of the “constituent mass” of our particles and comment on the relation of our model to the constituent quark model of hadron structure. The wave functions obtained have an interesting structure and are free of the on-mass-shell singularities which are present in solutions of conventional Bethe-Salpeter equations.

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