scholarly journals Configuration mixing of angular-momentum-projected triaxial relativistic mean-field wave functions. II. Microscopic analysis of low-lying states in magnesium isotopes

2011 ◽  
Vol 83 (1) ◽  
Author(s):  
J. M. Yao ◽  
H. Mei ◽  
H. Chen ◽  
J. Meng ◽  
P. Ring ◽  
...  
Keyword(s):  
Angular Momentum ◽  
Mean Field ◽  
Microscopic Analysis ◽  
Wave Functions ◽  
Magnesium Isotopes ◽  
Relativistic Mean Field ◽  
Configuration Mixing ◽  
Field Wave

GIANT RESONANCES AND ASYMMETRY ENERGY

2006 ◽  
Vol 15 (07) ◽  
pp. 1347-1356
Author(s):  
ZHONG-YU MA ◽  
BAO-QIU CHEN ◽  
JUN LIANG ◽  
LI-GANG CAO
Keyword(s):  
Mean Field Theory ◽  
Random Phase ◽  
Mean Field ◽  
Microscopic Analysis ◽  
Giant Resonances ◽  
Relativistic Mean Field ◽  
Nuclear Ground State ◽  
Relativistic Approach ◽  
Asymmetry Energy ◽  
The Asymmetry

A microscopic analysis of the asymmetry energy is performed through the investigation of nuclear giant resonances in the relativistic approach. Nuclear ground state properties are calculated in an extended relativistic mean-field theory plus BCS method, where the contribution of the resonant continuum to pairing correlations is properly treated. The nuclear giant resonances are investigated in the relativistic random phase approximation (RRPA) or quasi-particle RRPA. Special emphases are paid to the correlation between the giant dipole resonance or pygmy resonance and the density dependence of the asymmetry energy.

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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