Nuclear alpha-particle condensates: Definitions, occurrence conditions, and consequences

Details Nuclear alpha-particle condensates: Definitions, occurrence conditions, and consequences Nuclear alpha-particle condensates: Definitions, occurrence conditions, and consequences

2007-12-07

arxiv.org/abs/0712.1191v4

Phys.Rev.C78:041306,2008

Physics

Nuclear Physics

Nuclear Theory

5 pages, revtex4 format. Final published version with date of submission, revision, and publication

Scientific paper

10.1103/PhysRevC.78.041306

There has been a recent flurry of interest in the possibility of condensates of $\alpha$-particles in nuclei. In this letter we discuss occurrence conditions for such states. Using the quantality condition of Mottelson we show that condensates are only marginally expected in $\alpha$-particle states. We proceed to demonstrate that few-body nuclear condensates are ill-defined, and emphasize the conflict between $\alpha$-localization and $\alpha$-condensate formation. We also explore the connection between Ikeda diagrams, linear chains, and Tonks-Girardeau gases. Our findings show that no new information is contained in the approximations of nuclear states as $\alpha$-cluster condensates. Furthermore, condensates of more than three $\alpha$-particles are very unlikely to exist due to couplings to other degrees of freedom.

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