Compressibility of nuclear matter and breathing mode of finite nuclei in relativistic random phase approximation

1997 ◽  
Vol 55 (5) ◽  
pp. 2385-2388 ◽  
Author(s):  
Zhongyu Ma ◽  
Nguyen Van Giai ◽  
Hiroshi Toki ◽  
Marcelle L'Huillier
Keyword(s):  
Nuclear Matter ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Phase Approximation ◽  
Breathing Mode ◽  
Finite Nuclei

Nonspectral Dirac random-phase approximation for finite nuclei

1989 ◽  
Vol 40 (5) ◽  
pp. 2320-2336 ◽  
Author(s):  
J. R. Shepard ◽  
E. Rost ◽  
J. A. McNeil
Keyword(s):  
Random Phase Approximation ◽  
Random Phase ◽  
Phase Approximation ◽  
Finite Nuclei

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.

Relativistic spectral random-phase approximation in finite nuclei

1990 ◽  
Vol 42 (5) ◽  
pp. 2009-2022 ◽  
Author(s):  
John F. Dawson ◽  
R. J. Furnstahl
Keyword(s):  
Random Phase Approximation ◽  
Random Phase ◽  
Phase Approximation ◽  
Finite Nuclei
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