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Phys. Rev. C 67, 051306(R) (2003) [5 pages]

Analysis of previous microscopic calculations for the second 0+ state in 12C in terms of 3-α particle Bose-condensed state

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Y. Funaki1, A. Tohsaki2, H. Horiuchi1, P. Schuck3, and G. Röpke4
1Department of Physics, Kyoto University, Kyoto 606-8502, Japan
2Department of Fine Materials Engineering, Shinshu University, Ueda 386-8567, Japan
3Institut de Physique Nucléaire, 91406 Orsay Cedex, France
4FB Physik, Universität Rostock, D-18051 Rostock, Germany

Received 10 February 2003; published 30 May 2003

The wave function of the second 0+ state of 12C, which was obtained a long time ago by solving the microscopic 3α problem, is shown to be almost completely equivalent to the wave function of the 3α condensed state, which has been proposed recently by the present authors. This equivalence of the wave functions is shown to hold in two cases where different effective two-nucleon forces are adopted. This finding gives strong support for interpreting the second 0+ state of 12C, which is the key state for the synthesis of 12C in stars (“Hoyle” state), and which is one of the typical mysterious 0+ states in light nuclei, as a gaslike structure of three α particles, Bose condensed into an identical s-wave function.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.67.051306
DOI:
10.1103/PhysRevC.67.051306
PACS:
21.60.Gx, 21.45.+v, 27.20.+n