scholarly journals Continued fraction approximation for the nuclear matter response function

2008 ◽  
Vol 77 (6) ◽  
Author(s):  
J. Margueron ◽  
J. Navarro ◽  
Nguyen Van Giai ◽  
P. Schuck
Keyword(s):  
Nuclear Matter ◽  
Response Function ◽  
Continued Fraction

The response function of a slab of noninteracting nuclear matter

1984 ◽  
Vol 83 (1) ◽  
pp. 17-34 ◽  
Author(s):  
W. M. Alberico ◽  
A. Molinari ◽  
V. R. Manfredi
Keyword(s):  
Nuclear Matter ◽  
Response Function

The response function of the infinite nuclear matter

1978 ◽  
Vol 1 (4) ◽  
pp. 1-35 ◽  
Author(s):  
W. M. Alberico ◽  
R. Cenni ◽  
A. Molinari
Keyword(s):  
Nuclear Matter ◽  
Response Function

scholarly journals Response function of hot nuclear matter

1994 ◽  
Vol 333 (3-4) ◽  
pp. 289-293 ◽  
Author(s):  
F.L. Braghin ◽  
D. Vautherin
Keyword(s):  
Nuclear Matter ◽  
Response Function

Response function of nuclear matter

1988 ◽  
Vol 38 (3) ◽  
pp. 1494-1497 ◽  
Author(s):  
A. Dellafiore ◽  
F. Matera
Keyword(s):  
Nuclear Matter ◽  
Response Function

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 Spurious finite-size instabilities with Gogny-type interactions

2019 ◽  
Vol 55 (9) ◽  
Author(s):  
M. Martini ◽  
A. De Pace ◽  
K. Bennaceur
Keyword(s):  
Nuclear Matter ◽  
Linear Response ◽  
Random Phase Approximation ◽  
Continued Fraction ◽  
Random Phase ◽  
Mean Field ◽  
Finite Size ◽  
Phase Approximation ◽  
Response Functions ◽  
First Time

Abstract. Recently, a new parameterization of the Gogny interaction suitable for astrophysical applications, named D1M*, has been presented. We investigate the possible existence of spurious finite-size instabilities of this new Gogny force by repeating a study that we have already performed for the most commonly used parameterizations (D1, D1S, D1N, D1M) of the Gogny force. This study is based on a fully antisymmetrized random phase approximation (RPA) calculation of the nuclear matter response functions employing the continued fraction technique. It turns out that this new Gogny interaction is affected by spurious finite-size instabilities in the scalar isovector channel; hence, unphysical results are expected in the calculation of properties of nuclei, like neutron and proton densities, if this D1M* force is used. The conclusions from this study are then, for the first time, tested against mean-field calculations in a coordinate representation for several nuclei. Unphysical results for several nuclei are also obtained with the D1N parameterization of the Gogny force. These observations strongly advocate for the use of the linear response formalism to detect and avoid finite-size instabilities during the fit of the parameters of Gogny interactions as it is already done for some Skyrme forces.

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