Hypernetted-chain integral equations for inhomogeneous spin-isospin-ordered nuclear matter

1981 ◽  
Vol 30 (17) ◽  
pp. 517-522 ◽  
Author(s):  
O. Benhar
Keyword(s):  
Nuclear Matter ◽  
Integral Equations ◽  
Hypernetted Chain ◽  
Inhomogeneous Spin

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

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 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).

THE STUDY OF GAY–BERNE FLUID: INTEGRAL EQUATIONS METHOD

2009 ◽  
Vol 23 (05) ◽  
pp. 753-769 ◽  
Author(s):  
REZA KHORDAD ◽  
MEHRAN MOHEBBI ◽  
ABOLLA KESHAVARZI ◽  
AHMAD POOSTFORUSH ◽  
FARNAZ GHAJARI HAGHIGHI
Keyword(s):  
Phase Transition ◽  
Integral Equation ◽  
Computer Simulation ◽  
Monte Carlo ◽  
Integral Equations ◽  
Qualitative Agreement ◽  
Potential Model ◽  
Hypernetted Chain ◽  
Nonspherical Molecules ◽  
Lower Cutoff

We study a classical fluid of nonspherical molecules. The components of the fluid are the ellipsoidal molecules interacting through the Gay–Berne potential model. A method is described, which allows the Percus–Yevick (PY) and hypernetted-chain (HNC) integral equation theories to be solved numerically for this fluid. Explicit results are given and comparisons are made with recent Monte Carlo (MC) simulations. It is found that, at lower cutoff l max , the HNC and the PY closures give significantly different results. The HNC and PY (approximately) theories, at higher cutoff l max , are superior in predicting the existence of the phase transition in a qualitative agreement with computer simulation.

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