Application of the Hartree-Fock variational method to center-of-mass motion

1970 ◽  
Vol 155 (1) ◽  
pp. 33-39 ◽  
Author(s):  
R.M. Dreizler ◽  
F.R. Krejs ◽  
A. Klein
Keyword(s):  
Variational Method ◽  
Center Of Mass ◽  
Mass Motion ◽  
Hartree Fock

scholarly journals SHORTCUTS TO NUCLEAR STRUCTURE: LESSONS IN HARTREE–FOCK, RPA, AND THE NO-CORE SHELL MODEL

2005 ◽  
Vol 14 (01) ◽  
pp. 57-65
Author(s):  
CALVIN W. JOHNSON ◽  
IONEL STETCU
Keyword(s):  
Shell Model ◽  
Nuclear Structure ◽  
Random Phase Approximation ◽  
Center Of Mass ◽  
Random Phase ◽  
Mass Motion ◽  
Core Shell ◽  
Microscopic Approach ◽  
Hartree Fock ◽  
Appropriate Treatment

While the no-core shell model is a state-of-the-art microscopic approach to low-energy nuclear structure, its intense computational requirements lead us to consider time-honored approximations such as the Hartree–Fock (HF) approximation and the random phase approximation (RPA). We review RPA and point out some common misunderstandings, then apply HF + RPA to the no-core shell model. Here the main issue is appropriate treatment of contamination by spurious center-of-mass motion.

NUCLEON IN NUCLEAR MEDIUM

2009 ◽  
Vol 18 (05n06) ◽  
pp. 1166-1175
Author(s):  
SHASHIKANT C. PHATAK
Keyword(s):  
Standard Procedure ◽  
Center Of Mass ◽  
Critical Density ◽  
Magnetic Interaction ◽  
Nuclear Medium ◽  
Mass Motion ◽  
Field Equations ◽  
Dielectric Model ◽  
Chiral Color Dielectric Model

The behavior of a nucleon in nuclear medium is discussed in Chiral Color Dielectric Model. It is assumed that the nucleons in nuclear medium produces a background dielectric field and the quark and dielectric field equations are solved self consistantly in presence of the dielectric field. A nucleon in nuclear medium is then constructed by means of standard procedure followed in chiral bag models. The corrections due to center of mass motion, color magnetic interaction and meson interaction are included. The calculations show that the nucleon becomes bigger in the medium but its mass does not change much. It is found that beyond a certian density, bound solutions in which quarks are bound in self-generated dielectric field are not possible. Thus, the calculations indicate that there is a critical density beyond which the matter consists of deconfined quarks.

Spontaneous emission in a standing-wave cavity: Classical center-of-mass motion

1992 ◽  
Vol 46 (11) ◽  
pp. 7162-7178 ◽  
Author(s):  
W. Ren ◽  
J. D. Cresser ◽  
H. J. Carmichael
Keyword(s):  
Standing Wave ◽  
Spontaneous Emission ◽  
Center Of Mass ◽  
Mass Motion
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