Density matrix of relativistic nuclear matter

1991 ◽  
Vol 43 (1) ◽  
pp. 181-189 ◽  
Author(s):  
Sara Cruz-Barrios ◽  
L. S. Celenza ◽  
A. Pantziris ◽  
C. M. Shakin
Keyword(s):  
Density Matrix ◽  
Nuclear Matter

scholarly journals Study of the Half-Diagonal Two-Body Density Matrix of Model Nuclear Matter

2020 ◽  
Vol 6 ◽  
pp. 58
Author(s):  
M. Petraki ◽  
E. Mavrommatis ◽  
J. W. Clark
Keyword(s):  
Density Matrix ◽  
Nuclear Matter ◽  
Electron Scattering ◽  
Short Range ◽  
Body Density ◽  
Final State ◽  
Final State Interactions ◽  
Hypernetted Chain ◽  
Approximate Treatment ◽  
Short Range Correlations

The half-diagonal two-body density matrix ρ_{2h}/i(r1,r2,r') plays a central role in most theoretical treatments of the propagation of ejected nucléons and their final state interactions (FSI) in the nuclear medium. In this work based on the analysis of Ristig and Clark, we present the results of a Fermi hypernetted-chain calculation ρ_{2h}/i(r1,r2,r') for infinite symmetrical nuclear matter using a Jastrow-correlated model. The dependence of ρ_{2h} on the variables involved has been investigated in detail. Significant departures from ideal Fermi gas behavior in certain domains demonstrate the importance of short-range correlations. A comparison of our results with the predictions of Silver's approximation to ρ_{2h}, which has been employed in some treatments of FSI, reveals certain shortcomings of this approximation. The Fermi hypernetted-chain results obtained here will serve as a key input to an approximate treatment of FSI in inclusive quasielastic electron scattering from nuclear matter.

scholarly journals NATURAL ORBITALS REPRESENTATION AND FERMI SEA DEPLETION IN FINITE NUCLEI AND NUCLEAR MATTER

2013 ◽  
Vol 22 (07) ◽  
pp. 1350047
Author(s):  
V. P. PSONIS ◽  
Ch. C. MOUSTAKIDIS ◽  
S. E. MASSEN
Keyword(s):  
Density Matrix ◽  
Nuclear Matter ◽  
Experimental Studies ◽  
Approximate Expression ◽  
Closed Shell ◽  
Open Shell ◽  
Natural Orbitals ◽  
Occupation Numbers ◽  
Closed Shell Nuclei ◽  
Finite Nuclei

The natural orbitals (NOs) and natural occupation numbers (NON) of various N = Z, sp and sd shell nuclei are calculated by applying a correlated one-body density matrix (OBDM). The correlated density matrix has been evaluated by considering central correlations of Jastrow type and an approximation named factor cluster expansion. The correlation effects on NOs, NON and the Fermi sea depletion (FSD) are discussed and analyzed. In addition, an approximate expression for the correlated OBDM of the nuclear matter has been used for the evaluation of the relative momentum distribution and FSD. We found that the value of FSD is higher in closed shell nuclei compared to open shell ones and it is lower compared to the case of nuclear matter. This statement could be confirmed by relevant experimental studies.

scholarly journals Two body density matrix of model nuclear matter

2019 ◽  
Vol 3 ◽  
pp. 88
Author(s):  
E. Mavromanatis ◽  
Μ. Petraki ◽  
J. W. Clark
Keyword(s):  
Density Matrix ◽  
Nuclear Matter ◽  
Momentum Distribution ◽  
Fermi Gas ◽  
Variational Calculation ◽  
Body Density ◽  
State Dependent ◽  
Generalized Momentum

A lowest-cluster-order variational calculation of the half-diagonal two-body density matrix ρ2(r1,r2,r’1) and the corresponding generalized momentum distribution n(p.Q) is performed for three representative models of nuclear matter containing central correlations. Dynamical correlations produce significant deviations from the results for a noninteracting Fermi gas. Calculations axe in progress that include higherorder cluster corrections as well as state-dependent correlations

scholarly journals ON A RESPONSE FUNCTION AND TWO-BODY DENSITY MATRIX OF NUCLEAR MATTER

2020 ◽  
Vol 2 ◽  
pp. 15
Author(s):  
E. Mavrommatis ◽  
M. Petraki ◽  
J. W. Clark ◽  
N. H. Kwong
Keyword(s):  
Density Matrix ◽  
Nuclear Matter ◽  
Response Function ◽  
Random Phase ◽  
Dynamic Structure ◽  
Variational Calculation ◽  
Body Density ◽  
Model Interaction ◽  
Density Response Function ◽  
Generalized Momentum

We present a summary of on-going calculations that address the static and dynamic structure of nuclear matter. Specific projects include (i) evaluation of the density-density response function and corresponding dynamic structure factor, based on the correlated random-phase approximation (CRPA_I) and generalizations of this method, and (ii) low-order variational calculation of the reduced two-body density matrix and corresponding generalized momentum distribution. The numerical applications involve the model interaction V2.

Density matrix and momentum distribution of helium liquids and nuclear matter

1977 ◽  
Vol 16 (1) ◽  
pp. 222-230 ◽  
Author(s):  
P. M. Lam ◽  
J. W. Clark ◽  
M. L. Ristig
Keyword(s):  
Density Matrix ◽  
Nuclear Matter ◽  
Momentum Distribution ◽  
Helium Liquids

TEMPERATURE DEPENDENCE OF THE EFFECTIVE INTERACTION IN NUCLEAR MATTER

1987 ◽  
Vol 48 (C2) ◽  
pp. C2-301-C2-304
Author(s):  
M. BALDO ◽  
G. GIANSIRACUSA ◽  
U. LOMBARDO
Keyword(s):  
Nuclear Matter ◽  
Temperature Dependence ◽  
Effective Interaction

Density matrix and rate equation analyses for picosecond pump/probe combustion diagnostics

AIAA Journal ◽  
1999 ◽  
Vol 37 ◽  
pp. 723-731
Author(s):  
Thomas Settersten ◽  
Mark Linne ◽  
James Gord ◽  
Gregory Feichtner
Keyword(s):  
Density Matrix ◽  
Rate Equation ◽  
Pump Probe ◽  
Combustion Diagnostics
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