Fermi hypernetted-chain calculation of the half-diagonal two-body density matrix of model nuclear matter

2001 ◽  
Vol 64 (2) ◽  
Author(s):  
M. Petraki ◽  
E. Mavrommatis ◽  
J. W. Clark
Keyword(s):  
Density Matrix ◽  
Nuclear Matter ◽  
Body Density ◽  
Hypernetted Chain

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 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 Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas

2021 ◽  
Vol 60 (3) ◽  
Author(s):  
Phan Thành Nam ◽  
Marcin Napiórkowski
Keyword(s):  
Density Matrix ◽  
Ground State ◽  
Mean Field ◽  
Interaction Strength ◽  
Bose Gas ◽  
Body Density ◽  
The Mean ◽  
The One ◽  
Mean Field Regime ◽  
Number Of Particles

AbstractWe consider the homogeneous Bose gas on a unit torus in the mean-field regime when the interaction strength is proportional to the inverse of the particle number. In the limit when the number of particles becomes large, we derive a two-term expansion of the one-body density matrix of the ground state. The proof is based on a cubic correction to Bogoliubov’s approximation of the ground state energy and the ground state.

scholarly journals Insights into one-body density matrices using deep learning

2020 ◽  
Vol 224 ◽  
pp. 265-291 ◽  
Author(s):  
Jack Wetherell ◽  
Andrea Costamagna ◽  
Matteo Gatti ◽  
Lucia Reining
Keyword(s):  
Deep Learning ◽  
Density Matrix ◽  
Reduced Density Matrix ◽  
Body Density ◽  
Density Matrices ◽  
Learning Constraints ◽  
The One ◽  
Reduced Density

Deep-learning constraints of the one-body reduced density matrix from its compressibility to enable efficient determination of key observables.

scholarly journals Extended Thomas–Fermi approximation to the one-body density matrix

2000 ◽  
Vol 665 (3-4) ◽  
pp. 291-317 ◽  
Author(s):  
V.B. Soubbotin ◽  
X. Viñas
Keyword(s):  
Density Matrix ◽  
Body Density ◽  
Thomas Fermi ◽  
The One

Hypernetted-chain calculations for model nuclear matter

1977 ◽  
Vol 20 (9) ◽  
pp. 313-318 ◽  
Author(s):  
K. E. Kürten ◽  
M. L. Ristig ◽  
J. W. Clark
Keyword(s):  
Nuclear Matter ◽  
Hypernetted Chain

Hypernetted-chain approximation for nuclear matter

1976 ◽  
Vol 63 (3) ◽  
pp. 269-272 ◽  
Author(s):  
E. Krotscheck ◽  
K. Takahashi
Keyword(s):  
Nuclear Matter ◽  
Hypernetted Chain ◽  
Chain Approximation
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