Abstract.
Bosonic properties of α particles such as single-α orbits and occupation numbers in Jπ = 0+, 2+, 1- and 3- states of 12C around the 3α threshold are investigated with the semi-microscopic 3α cluster model. As in other studies, we found that the 0+2 (2+2) state has dilute-3α-condensate-like structure in which the α particle is occupied in the single S (D) orbit with about 70% (80%) probability. The radial behaviors of the single-α orbits as well as the occupation numbers are discussed in detail in comparison with those for the 0+1 and 2+1 states together with the 1-1 and 3-1 states.
Similar content being viewed by others
References
K. Wildermuth, Y.C. Tang, A Unified Theory of the Nucleus (Vieweg, Braunschweig, Germany, 1977).
D.M. Brink, in Many-Body Description of Nuclear Structure and Reactions, Proceedings of the International School of Physics ``Enrico Fermi'', Course XXXVI, edited by C. Bloch (Academic Press, New York, 1966).
G.F. Bertsch, W. Bertozzi, Nucl. Phys. A 165, 199 (1971).
Y. Fujiwara, H. Horiuchi, K. Ikeda, M. Kamimura, K. Kato, Y. Suzuki, E. Uegaki, Prog. Theor. Phys. Suppl. 68, 29 (1980).
E. Uegaki, S. Okabe, Y. Abe, H. Tanaka, Prog. Theor. Phys. 57, 1262 (1977)
Y. Fukushima, M. Kamimura, Proceedings of the International Conference on Nuclear Structure, Tokyo, 1977, edited by T. Marumori, Suppl. J. Phys. Soc. Jpn. 44, 225 (1978)
F. Dalfovo, S. Giorgini, L.P. Pitaevskii, S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
G. Röpke, A. Schnell, P. Schuck, P. Nozieres, Phys. Rev. Lett. 80, 3177 (1998).
M. Beyer, S.A. Sofianos, C. Kuhrts, G. Röpke, P. Schuck, Phys. Lett. B 80, 247 (2000).
A. Tohsaki, H. Horiuchi, P. Schuck, G. Röpke, Phys. Rev. Lett. 87, 192501 (2001).
Y. Funaki, H. Horiuchi, A. Tohsaki, P. Schuck, G. Röpke, Prog. Theor. Phys. 108, 297 (2002).
T. Yamada, P. Schuck, Phys. Rev. C 69, 024309 (2004).
L.P. Pitaevskii, Zh. Eksp. Teor. Fiz. 40, 646 (1961) (Sov. Phys. JETP 13, 451 (1961))
M. Itoh, Nucl. Phys. A 738, 268 (2004).
Y. Funaki, A. Tohsaki, H. Horiuchi, P. Schuck, G. Röpke, Eur. Phys. J. A 24, 321 (2005), arXiv: nucl-th/0410097.
V.I. Kukulin, V.M. Krasnopol'sky, J. Phys. A 10, 33 (1977)
H. Matsumura, Y. Suzuki, Nucl. Phys. A 739, 238 (2004).
S. Saito, Prog. Theor. Phys. 40, 893 (1968)
H. Horiuchi, Prog. Theor. Phys. 51, 1266 (1974)
K. Fukatsu, K. Kato, H. Tanaka, Prog. Theor. Phys. 81, 738 (1989)
E.M. Tursunov, D. Baye, P. Descouvemont, Nucl. Phys. A 723, 365 (2003)
Y. Fujiwara, M. Kohno, Y. Suzuki, Phys. Rev. C 69, 037002 (2004)
C. Kurokawa, K. Kato, Nucl. Phys. A 738, 455 (2004).
H. Horiuchi, K. Ikeda, Cluster Model of the Nucleus, Int. Rev. Nucl. Phys., Vol. 4 (World Scientific Publishing Co., 1986) p. 1.
M. Kamimura, Phys. Rev. A 38, 621 (1988)
V.I. Kukulin, V.M. Krasnopol'sky, V.T. Voronchev, P.B. Sazanov, Nucl. Phys. A 417, 128 (1984).
F. Ajzenberg-Selove, Nucl. Phys. A 506, 1 (1990).
A.T. Kruppa, R.G. Lovas, B. Gyarmati, Phys. Rev. C 37, 383 (1988)
Author information
Authors and Affiliations
Corresponding author
Additional information
G. Orlandini
Rights and permissions
About this article
Cite this article
Yamada, T., Schuck, P. Single α-particle orbits and Bose-Einstein condensation in 12C. Eur. Phys. J. A 26, 185–199 (2005). https://doi.org/10.1140/epja/i2005-10168-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epja/i2005-10168-1