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.
Article PDF
Avoid common mistakes on your manuscript.
References
C. Gonzalez-Boquera, M. Centelles, X. Viñas, L. Robledo, Phys. Lett. B 779, 195 (2018)
R. Sellahewa, A. Rios, Phys. Rev. C 90, 054327 (2014)
C. Gonzalez-Boquera, M. Centelles, X. Viñas, A. Rios, Phys. Rev. C 96, 065806 (2017)
J. Berger, M. Girod, D. Gogny, Comput. Phys. Commun. 63, 365 (1991)
F. Chappert, M. Girod, S. Hilaire, Phys. Lett. B 668, 420 (2008)
S. Goriely, S. Hilaire, M. Girod, S. Péru, Phys. Rev. Lett. 102, 242501 (2009)
P.B. Demorest, T. Pennucci, S.M. Ransom, M.S.E. Roberts, J.W.T. Hessels, Nature 467, 1081 (2010)
J. Antoniadis, P.C.C. Freire, N. Wex, T.M. Tauris, R.S. Lynch, M.H. van Kerkwijk, M. Kramer, C. Bassa, V.S. Dhillon, T. Driebe et al., Science 340, 448 (2013)
G. Audi, M. Wang, A. Wapstra, F. Kondev, M. MacCormick, X. Xu, B. Pfeiffer, Chin. Phys. C 36, 1287 (2012)
L. Robledo, HFBaxial computer code, unpublished (2002)
V. Hellemans, A. Pastore, T. Duguet, K. Bennaceur, D. Davesne, J. Meyer, M. Bender, P.H. Heenen, Phys. Rev. C 88, 064323 (2013)
A. De Pace, M. Martini, Phys. Rev. C 94, 024342 (2016)
D. Gogny, in Proceedings of the International Conference on Nuclear Physics, Munich, edited by J. De Boer, H.J. Mang, Vol. 1 (North Holland, 1973) p. 48
K. Bennaceur, J. Dobaczewski, Comput. Phys. Commun. 168, 96 (2005)
W. Ryssens, V. Hellemans, M. Bender, P.H. Heenen, Comput. Phys. Commun. 187, 175 (2015)
K. Bennaceur, FINRES$_4$ computer code, unpublished
R. Hooverman, Nucl. Phys. A 189, 155 (1972)
R.N. Perez, N. Schunck, R.D. Lasseri, C. Zhang, J. Sarich, Comput. Phys. Commun. 220, 363 (2017)
M. Kortelainen, J. McDonnell, W. Nazarewicz, E. Olsen, P.G. Reinhard, J. Sarich, N. Schunck, S.M. Wild, D. Davesne, J. Erler et al., Phys. Rev. C 89, 054314 (2014)
A. Pastore, D. Davesne, K. Bennaceur, J. Meyer, V. Hellemans, Phys. Scr. 2013, 014014 (2013)
R. Jodon, M. Bender, K. Bennaceur, J. Meyer, Phys. Rev. C 94, 024335 (2016)
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by T. Duguet
Data Availability Statement
This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All data generated during this study are contained in this published article.]
Publisher’s Note
The EPJ Publishers remain neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Martini, M., De Pace, A. & Bennaceur, K. Spurious finite-size instabilities with Gogny-type interactions. Eur. Phys. J. A 55, 150 (2019). https://doi.org/10.1140/epja/i2019-12838-7
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/i2019-12838-7