Abstract
This contribution aims at updating the non-expert reader about the successes and the drawbacks of nuclear structure models which describe the ground-state properties. The main emphasis is on models based on Density Functional Theory (DFT), with a personal bias towards the nonrelativistic implementations. After a survey about ground-state masses and a short discussion on nuclear radii, it is argued that one of the most relevant open problems is the description of single-particle states and more generally of detailed spectroscopic properties. Overall (i.e., bulk) properties are easier to reproduce and thus, less capable to discriminate between competing theories. Accordingly, it is concluded that trap-assisted detailed spectroscopic measurements are the most useful in order to improve our understanding of nuclei.
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Epelbaum, E., Krebs, H., Lee, D., Meißner, U.: Phys. Rev. Lett. 104, 142501 (2010)
Maris, P., Vary, J.P., Shirokov, A.M.: Phys. Rev. C79, 014308 (2009)
Pieper, S.C., Varga, K., Wiringa, R.B.: Phys. Rev. C76, 044310 (2002)
Pieper, S.C., Wiringa, R.B., Carlson, J.: Phys. Rev. C70, 5425 (2004)
Gandolfi, S., Pederiva, F., Fantoni, S., Schmidt, K.E.: Phys. Rev. Lett. 99, 022507 (2007)
Hagen, G., Papenbrock, T., Dean, D.J., Hjorth-Jensen, M.: Phys. Rev. Lett. 101, 092502 (2008)
Marqués, F.M., Labiche, M., Orr, N.A., Angelique, J.C., Axelsson, L., Benoit, B., Bergmann, U.C., Borge, M.J.G., Catford, W.N., Chappel, S.P.G., Clarke, N.M., Costa, G., Curtis, N., D’Arrigo, A., de Goes Brennand, E., de Oliveira Santos, F., Dorvaux, O., G. Fazio, Freer, M., Fulton, B.R., Giardina, G., Grevy, S., Guillemaud-Mueller, D., Hanappe, F., Heusch, B., Jonson, B., Le Brun, C., Leenhardt, S., Lewitowitz, M., Lopez, M.J., Markenroth, K., Mueller, A.C., Nilsson, T., Ninane, A., Nyman, G., Piqueras, I., K. Riisager, Saint Laurent, M.G., Sarazin, F., Singer, S.M., Sorlin, O., Stuttge, L.: Phys. Rev. C65, 044006 (2002)
Bender, M., Heenen, P.-H., Reinhard, P.-G.: Rev. Mod. Phys. 75, 121 (2003)
Colò, G.: AIP Conf. Proc. 1128, 59 (2009)
Bohr, A., Mottelson, B.R., Pines, D.: Phys. Rev. 110, 936 (1958)
Skyrme, T.H.R.: Nucl. Phys. 9, 615 (1959)
Vautherin, D., Brink, D.M.: Phys. Rev. C5, 626 (1972)
Beiner, M., Flocard, H., Van Giai, N., Quentin, Ph.: Nucl. Phys. A238, 29 (1975)
Dechargé, J., Gogny, D.: Phys. Rev. C21, 1568 (1980)
Berger, J.F., Girod, M., Gogny, D.: Comput. Phys. Commun. 63, 365 (1991)
Serot, B.D., Walecka, J.D.: Adv. Nucl. Phys. 16, 1 (1986)
Vretenar, D., Afanasjev, A.V., Lalazissis, G.A., Ring, P.: Phys. Rep. 409, 101 (2005)
Hohenberg, P., Kohn, W.: Phys. Rev. B136, 6 (1964)
Kohn, W., Sham, P.: Phys. Rev. A140, 1133 (1965)
Dobaczewski, J., Dudek, J.: Phys. Rev. C52, 1827, 55 (1995)
Dobaczewski, J., Dudek, J.: Phys. Rev. C55, 3177 (1997)
Carlsson, B.G., Dobaczeski, J., Kortelainen, M.: Phys. Rev. C78, 044326 (2008)
Lunney, D., Pearson, J.M., Thibault, C.: Rev. Mod. Phys. 75, 1021 (2003)
Duflo, J., Zücker, A.P.: Phys. Rev. C52, R23 (1995)
Koura, H., Uno, M., Tachibana, T., Yamada, M.: Nucl. Phys. A674, 47 (2000)
Nayak, R.C., Satpathy, L.: At. Data Nucl. Data Tables 73, 213 (1999)
Ring, P., Schuck, P.: The Nuclear Many-Body Problem. Springer, New York (1980)
Dobaczewski, J., Nazarewicz, W., Werner, T.R., Berger, J.F., Chinn, C.R., Dechargé, J.: Phys. Rev. C53, 2809 (1996)
Goriely, S., Chamel, N., Pearson, J.M.: Phys. Rev. Lett. 102, 152503 (2009)
Audi, G., Wapstra, A.H., Thibault, C.: Nucl. Phys. A729, 337 (2003)
Chamel, N., Goriely, S., Pearson, J.M.: Nucl. Phys. A812, 72 (2008)
Möller, P., Nix, J.R., Myers, W.D., Swiatecki, W.J.: At. Data Nucl. Data Tables 59, 185 (1995)
Bender, M., Bertsch, G.F., Heenen, P.-H.: Phys. Rev. Lett. 94, 102503 (2005)
Sabbey, B., Bender, M., Bertsch, G.F., Heenen, P.-H.: Phys. Rev. C75, 044305 (2007)
Klüpfel, P., Erler, J., Reinhard, P.-G., Maruhn, J.A.: Eur. Phys. J. A37, 343 (2008)
Baroni, S., Armati, M., Barranco, F., Broglia, R.A., Colò, G., Gori, G., Vigezzi, E.: J. Phys. G: Nucl. Part. Phys. 30, 1353 (2004)
Baroni, S., Barranco, F., Bortignon, P.F., Broglia, R.A., Colò, G., Vigezzi, E.: Phys. Rev. C74, 024305 (2006)
Goriely, S., Hilaire, S., Girod, M., Péru, S.: Phys. Rev. Lett. 102, 242501 (2009)
Lalazissis, G.A., Niks̀ič, T., Vretenar, D., Ring, P.: Phys. Rev. C71, 024312 (2005)
Grasso, M., Yoshida, S., Sandulescu, N., Van Giai, N.: Phys. Rev. C74, 064317 (2006)
Tanihata, I., Hamagaki, H., Hashimoto, O., Shida, Y., Yoshikawa, N., Sugimoto, K., Yamakawa, O., Kobayashi, T., Takagashi, N.: Phys. Rev. Lett. 55, 2676 (1985)
Meng, J., Ring, P.: Phys. Rev. Lett. 80, 460 (1998)
Meng, J., Toki, H., Zeng, J.Y., Zhang, S.Q., Zhou, S.G.: Phys. Rev. C65, 041302 (2002)
Sandulescu, N., Geng, L.S., Toki, H., Hillhouse, G.C.: Phys. Rev. C68, 054323 (2003)
Mizutori, S., Dobaczewski, J., Lalazissis, G.A., Nazarewicz, W., Reinhard, P.-G.: Phys. Rev. C61, 044326 (2000)
Terasaki, J., Zhang, S.Q., Zhou, S.G., Meng, J.: Phys. Rev. C74, 054318 (2006)
Grasso, M., Yoshida, S., Sandulescu, N., Van Giai, N.: Phys. Rev. C74, 064317 (2006)
Zhou, S.G., Meng, J., Ring, P., Zhao, E.G.: Phys. Rev. C82, 011301 (2010)
Chabanat, E., Bonche, P., Haensel, P., Meyer, J., Schaeffer, R.: Nucl. Phys. A635, 231 (1998)
Chabanat, E., Bonche, P., Haensel, P., Meyer, J., Schaeffer, R.: Nucl. Phys. A643, 441 (1998)
Reinhard, P.-G., Flocard, H.: Nucl. Phys. A584, 467 (1995)
Duguet, T., Bonche, P., Heenen, P.-H., Meyer, J.: Phys. Rev. C65, 014311 (2001)
Duguet, T., Bennaceur, K., Bonche, P.: arXiv:nucl-th/0508054v1
Gandolfi, S., Illarionov, A.Yu., Fantoni, S., Pederiva, F., Schmidt, K.E.: Phys. Rev. Lett. 101, 132501 (2008)
Anguiano, M., Egido, J.L., Robledo, L.M.: Nucl. Phys. A683, 227 (2001)
Hilaire, S., Berger, J.-F., Girod, M., Satula, W., Schuck, P.: Phys. Lett. B531, 61 (2002)
Zalewski, M., Dobaczewski, J., Satula, W., Werner, T.R.: Phys. Rev. C77, 024316 (2008)
Kortelainen, M., Dobaczewski, J., Mizuyama, K., Toivanen, J.: Phys. Rev. C77, 064307 (2008)
Carlsson, B.G., et al.: (in preparation)
Mahaux, C., Bortignon, P.F., Broglia, R.A., Dasso, C.H.: Phys. Rep. 120, 1 (1985)
Bernard, V., Van Giai, N.: Nucl. Phys. A348, 75 (1980)
Litvinova, E., Ring, P.: Phys. Rev. C73, 044328 (2006)
Bortignon, P.F., Colò, G., Sagawa, H.: J. Phys. G: Nucl. Part. Phys. 37, 064013 (2010)
Colò, G., Sagawa, H., Bortignon, P.F.: Phys. Rev. C 82, 064307 (2010)
Lalazissis, G.A., König, J., Ring, P.: Phys. Rev. C55, 540 (1997)
Ring, P., Werner, E.: Nucl. Phys. A211, 198 (1973)
Barbieri, C.: Phys. Rev. Lett. 103, 202502 (2009)
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Colò, G. Some open questions for microscopic nuclear structure models and hints for spectroscopic measurements. Hyperfine Interact 199, 175–189 (2011). https://doi.org/10.1007/s10751-011-0312-x
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DOI: https://doi.org/10.1007/s10751-011-0312-x