# Quartetting in fermionic matter and $\alpha$-particle condensation in nuclear systems

Abstract : The onset of quartetting, i.e. $\alpha$-particle condensation, in symmetric nuclear matter is studied with the help of an in-medium modified four nucleon equation. It is found that at very low density, quartetting wins over pairing because of the strong binding of the α particles. The critical temperature can reach values up to around 6 MeV. Also, the disappearance of $\alpha$ particles with increasing density, i.e. the Mott transition, is investigated. In finite nuclei the Hoyle state, that is, the 02+ of 12C is identified as an ‘$\alpha$-particle condensate' state. It is conjectured that such states also exist in heavier nα nuclei, such as 16O, 20Ne, etc. Exploratory calculations are performed for the density dependence of the $\alpha$-condensate fraction at zero temperature to address the suppression of the four-particle condensate below nuclear-matter density. Possible quartet condensation in other systems is discussed briefly.
Keywords :
Document type :
Conference papers

http://hal.in2p3.fr/in2p3-00172917
Contributor : Suzanne Robert <>
Submitted on : Tuesday, September 18, 2007 - 2:21:37 PM
Last modification on : Wednesday, September 16, 2020 - 4:08:18 PM

### Citation

P. Schuck, Y. Funaki, H. Horiuchi, G. Röpke, A. Tohsaki, et al.. Quartetting in fermionic matter and $\alpha$-particle condensation in nuclear systems. International Workshop on Nuclear Physics 28th Course - Radioactive Beams, Nuclear Dynamics and Astrophysics, Ettore Majorana Center for Scientific Culture, Sep 2006, Erice, Italy. pp.285-304, ⟨10.1016/j.ppnp.2006.12.003⟩. ⟨in2p3-00172917⟩

Record views