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.

scholarly journals Study of the Generalized Momentum Distribution of Model Nuclear Matter

2020 ◽  
Vol 5 ◽  
pp. 139
Author(s):  
E. Mavrommatis ◽  
M. Petraki ◽  
J. W. Clark
Keyword(s):  
Nuclear Matter ◽  
Momentum Distribution ◽  
Short Range ◽  
Body Density ◽  
Generalized Momentum ◽  
Hypernetted Chain ◽  
The Fourier Transform ◽  
Short Range Correlations ◽  
The Ideal

Valuable information on the correlation structure of the nuclear medium is stored in the generalized momentum distribution n(p,Q), the Fourier transform of the half-diagonal two-body density matrix ρ_{2η}(r_1,r_2,r'). In this paper, we present a numerical calculation of n(p,Q) for two Jastrow-correlated models of symmetrical nuclear matter based on the structural decomposition of n(p,Q) derived by Ristig and Clark and on a Fermi-hypernetted-chain procedure. Results exhibit significant departures from the ideal Fermi gas case in certain kinematic domains; this behaviour indicates the strong short-range correlations present in these models. Nevertheless, such deviations are less prominent than in earlier low- cluster-order calculations. The results are also used to judge the quality of Silver's approximation for n(p,Q).

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.

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

Momentum distribution and one-body density matrix in liquid3He.

1992 ◽  
Vol 14 (5) ◽  
pp. 469-485 ◽  
Author(s):  
A. Fabrocini ◽  
V. R. Pandharipande ◽  
Q. N. Usmani
Keyword(s):  
Density Matrix ◽  
Momentum Distribution ◽  
Body Density

scholarly journals ALPHA PARTICLE MOMENTUM DISTRIBUTION IN NUCLEI WITHIN THE COHERENT DENSITY FLUCTUATION MODEL

2020 ◽  
Vol 2 ◽  
pp. 397
Author(s):  
A. N. Antonov ◽  
P. E. Hodgson ◽  
G. A. Lalazissis ◽  
E. N. Nikolov ◽  
I. Zh. Petkov
Keyword(s):  
Experimental Data ◽  
Density Matrix ◽  
Momentum Distribution ◽  
Alpha Particle ◽  
Density Fluctuation ◽  
Alpha Particles ◽  
Body Density ◽  
Centre Of Mass ◽  
Particle Momentum ◽  
Fluctuation Model

The alpha particle centre of mass momentum distribution in nuclei is determined on the basis of the four-body density matrix obtained within the coherent density fluctuation model. The calculations are carried out for a number of nuclei. The results are compared with those deduced from analyses of experimental data on alpha-particle knockout reactions induced by electrons,protons and alpha-particles which provide information on the alpha-particle momentum distribution.

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