Abstract
Mean field schemes, from simple Hartree—Fock plus random phase approximation calculations of the ground and excited states to more sophisticated approaches which include pairing as well, have been popular for quite a long time. In these models, the input is an effective interaction. We still lack a precise link between this interaction and a more fundamental theory; however, there have been various new recent attempts to correlate empirical pieces of evidence about nuclear (and neutron) matter, or experimental results, with the properties of the effective interactions. In this contribution, we claim that, while we have indeed made some progress in our understanding of certain features of the interactions, we are still missing a clue about its proper density dependence and about its isovector properties.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D. Vautherin and D. M. Brink, Phys. Rev. C 5, 626 (1972).
E. Chabanat, P. Bonche, P. Haensel, et al., Nucl. Phys. A 635, 231 (1998); 643, 441(E) (1998).
S. Goriely, M. Samyn, J. M. Pearson, and M. Onsi, Nucl. Phys. A 750, 425 (2005).
J. Dobaczewski, W. Nazarewicz, T. R. Werner, et al., Phys. Rev. C 53, 2809 (1996).
S. Peru, J. F. Berger, and P. F. Bortignon, Eur. Phys. J. A 26, 25 (2005).
D. Vretenar, A. V. Afanasjev, G. A. Lalazissis, and P. Ring, Phys. Rep. 409, 101 (2005).
M. Bender, P.-H. Heenen, and P. G. Reinhard, Rev. Mod. Phys. 75, 121 (2003).
P. Hohenberg and W. Kohn, Phys. Rev. B 136, 864 (1964); W. Kohn and L. J. Sham, Phys. Rev. A 140, 1133(1965).
G. Colo, N. Van Giai, J. Meyer, et al., Phys. Rev. C 70, 024307 (2004).
B. A. Brown, Phys. Rev. Lett. 85, 5296 (2000); R. J. Furnstahl, Nucl. Phys. A 706, 85 (2002).
B. Cochet, K. Bennaceur, P. Bonche, et al., Nucl. Phys. A 731, 34 (2004); S. Yoshida and H. Sagawa, Phys. At. Nucl. 70 (8), 1357 (2007).
S. A. Fayans, S. V. Tolokonnikov, E. L. Trykov, and D. Zawischa, Nucl. Phys. A 676, 49 (2000), and references therein.
G. Colo, P. F. Bortignon, S. Fracasso, and N. Van Giai, Nucl. Phys. A 788, 173c (2007).
S. Fracasso and G. Colò, Phys. Rev. C 72, 064310 (2005).
S. Fracasso and G. Colo, Phys. At. Nucl. 70(8), 1415 (2007).
J. Terasaki, J. Engel, M. Bender, et al., Phys. Rev. C 71, 034310 (2005); T. Sil, S. Shlomo, B. K. Agrawal, and P.-G. Reinhard, Phys. Rev. C 73, 034316 (2006).
G. Colo, N. Van Giai, Yad. Fiz. 67, 1759 (2004) [Phys. At. Nucl. 67, 1731 (2004)].
D. H. Youngblood, Y.-W. Lui, H. L. Clark, et al., Phys. Rev. C 69, 034315 (2004).
J. P. Blaizot, Phys. Rep. 64, 171 (1980); J. P. Blaizot, J. F Berger, J. Dechargè, and M. Girod, Nucl. Phys. A 591, 435 (1995).
G. Colò and N. Van Giai, Nucl. Phys. A 731, 15 (2004).
D. Vretenar, T. Nikšić, and P. Ring, Phys. Rev. C 68, 024310 (2003).
B. K. Agrawal, S. Shlomo, and V K. Au, Phys. Rev. C 68, 031304 (2003).
J. Piekarewicz, Phys. Rev. C 66, 034305 (2002).
G. Colo, N. Van Giai, and H. Sagawa, Phys. Lett. B 363, 5 (1995).
D. Sarchi, P. F Bortignon, and G. Colo, Phys. Lett. B 601, 27 (2004).
Author information
Authors and Affiliations
Corresponding author
Additional information
The text was submitted by the author in English.