Abstract.
We present the Gogny-Hartree-Fock-Bogoliubov model which reproduces nuclear masses with an accuracy comparable with the best mass formulas. In contrast to the Skyrme-HFB nuclear-mass models, an explicit and self-consistent account of all the quadrupole correlation energies is included within the 5D collective Hamiltonian approach. The final rms deviation with respect to the 2353 measured masses is 789keV in the 2012 atomic mass evaluation. In addition, the D1M Gogny force is shown to predict nuclear and neutron matter properties in agreement with microscopic calculations based on realistic two- and three-body forces. The D1M properties and its predictions of various observables are compared with those of D1S and D1N.
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References
M. Arnould, S. Goriely, K. Takahashi, Phys. Rep. 450, 97 (2007)
S. Goriely, Nucl. Phys. A 933, 68 (2015)
S. Goriely, N. Chamel, J.M. Pearson, Phys. Rev. C 93, 034337 (2016)
P. Möller, J.R. Nix, W.D. Myers, W.J. Swiatecki, At. Data Nucl. Data Tables 59, 185 (1995)
J. Duflo, A.P. Zuker, Phys. Rev. C 52, R23 (1995)
G. Audi, A.H. Wapstra, C. Thibault, Nucl. Phys. A 729, 337 (2003)
G. Audi, M. Wang, A.H. Wapstra, F.G. Kondev, M. MacCormick, X. Xu, B. Pfeiffer, Chin. Phys. C 36, 1287 (2012)
M. Bender, P.-H. Heenen, P.-G. Reinhard, Rev. Mod. Phys. 75, 121 (2003)
S. Goriely, S. Hilaire, M. Girod, S. Péru, Phys. Rev. Lett. 102, 242501 (2009)
J.-F. Berger, M. Girod, D. Gogny, Comp. Phys. Commun. 63, 365 (1991)
F. Chappert, M. Girod, S. Hilaire, Phys. Lett. B 668, 420 (2008) and references therein
J. Libert, M. Girod, J.-P. Delaroche, Phys. Rev. C 60, 054301 (1999)
J.-P. Delaroche, M. Girod, J. Libert, H. Goutte, S. Hilaire, S. Péru, N. Pillet, G.F. Bertsch, Phys. Rev. C 81, 014303 (2010)
S. Hilaire, M. Girod, Eur. Phys. J. A 33, 237 (2007)
F. Chappert, PhD thesis (2007)
T.R. Rodríguez, A. Arzhanov, G. Martínez-Pinedo, Phys. Rev. C 91, 044315 (2015)
I. Angeli, K.P. Marinova, At. Data Nucl. Data Tables 99, 69 (2013)
B. Friedman, V.R. Pandharipande, Nucl. Phys. A 361, 502 (1981)
M. Baldo, P. Schuck, X. Viñas, Phys. Lett. B 663, 390 (2008)
Z.H. Li, H.-J. Schulze, Phys. Rev. C 78, 028801 (2008)
X.R. Zhou, G.F. Burgio, U. Lombardo, H.-J. Schulze, W. Zuo, Phys. Rev. C 69, 018801 (2004)
G.F. Bertsch, T.T.S. Kua, Nucl. Phys. A 112, 204 (1968)
V. Bernard, N. Van Giai, Nucl. Phys. A 348, 75 (1980)
M. Bender, G.F. Bertsch, P.-H. Heenen, Phys. Rev. C 73, 034322 (2006)
L.M. Robledo, G.F. Bertsch, Phys. Rev. C 84, 054302 (2011)
L.M. Robledo, Phys. G: Nucl. Part. Phys. 42, 055109 (2015)
A. Akmal, V.R. Pandharipande, D.G. Ravenhall, Phys. Rev. C 58, 1804 (1998)
T. Lesinski, K. Bennaceur, T. Duguet, J. Meyer, Phys. Rev. C 74, 044315 (2006)
W. Zuo, U. Lombardo, H.-J. Schulze, Z.H. Li, Phys. Rev. C 74, 014317 (2006)
S. Raman, C.W. Nestor, P. Tikkanen, At. Data Nucl. Data Tables 78, 1 (2001)
G.F. Bertsch et al., Phys. Rev. Lett. 99, 032502 (2007)
M. Martini, S. Péru, S. Hilaire, S. Goriely, F. Lechaftois, Phys. Rev. C (2016) submitted
D.H. Youngblood et al., Phys. Rev. Lett. 82, 691 (1999)
B.L. Berman, S.C. Fultz, Rev. Mod. Phys. 47, 713 (1975)
M.N. Harakeh, A. Van der Woude, in Giant Resonances: Fundamental High-energy Modes of Nuclear Excitation (Oxford University Press, Oxford, 2001)
J. Dobaczewski, A.V. Afanasjev, M. Bender, L.M. Robledo, Yue Shi, Nucl. Phys. A 944, 388 (2015)
R. Rodríguez-Guzmán, L.M. Robledo, Phys. Rev. C 89, 054310 (2014)
N. Dubray, Microscopic description of the fission: Automatic production of continuous potential energy surfaces, http://www-dam.cea.fr/CG2015/docs/All/Dubray.pdf
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Goriely, S., Hilaire, S., Girod, M. et al. The Gogny-Hartree-Fock-Bogoliubov nuclear-mass model. Eur. Phys. J. A 52, 202 (2016). https://doi.org/10.1140/epja/i2016-16202-3
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DOI: https://doi.org/10.1140/epja/i2016-16202-3