New microscopic wave function of α-condensation

Abstract

We explain how to treat a microscopic wave function of α-condensation taking a 3α-nucleus as a typical example. The wave function has been originally proposed ten years before by Horiuchi, Röpke, Schuck and the present author (Phys. Rev. Lett., 2001, 87: 192501). The microscopic model, which fully takes into account the Pauli principle between all the constituent nucleons, effective internucleon forces and the Coulomb force, can play an important role in reproducing an α-gas nature thanks to α-condensation as an excited state of α-like nuclei. An essential point of the wave function is to describe their ground state simultaneously.We study its typical features by giving an analytical formula of the norm kernel and the kernel concerning the one-body operator for 3α-condensation.

Keywords

α-cluster model / analytical formula / α-condensation

References

[1] A. Tohsaki, H. Horiuchi, P. Schuck, and G. Röpke, Phys. Rev. Lett., 2001, 87: 192501

[2] A. Tohsaki, H. Horiuchi, P. Schuck, and G. Röpke, Nucl. Phys. A, 2004, 738: 259

[3] D. M. Brink, Many-Body Description of Nuclear Structure and Reactions, in: Proceedings of the International School of Physics “Enrico Fermi” Course 36, edited by Claude Bloch, New York: Academic Press, 1966

[4] Y. Funaki, H. Horiuchi, A. Tohsaki, P. Schuck, and G. Röpke, Prog. Theor. Phys., 2002, 108: 297

[5] Y. Funaki, A. Tohsaki, H. Horiuchi, P. Schuck, and G. Röpke, Phys. Rev. C, 2003, 67: 051306(R)

[6] A. Tohsaki, Y. Funaki, H. Horiuchi, P. Schuck, G. Roepke, and T. Yamada, Int. J. Mod. Phys. A, 2009, 24: 2003

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Higher Education Press and Springer-Verlag Berlin Heidelberg