# Critical temperature for $\alpha$-particle condensation within a momentum-projected mean-field approach

Abstract : $\alpha$-particle (quartet) condensation in homogeneous spin-isospin symmetric nuclear matter is investigated. The usual Thouless criterion for the critical temperature is extended to the quartet case. The in-medium four-body problem is strongly simplified by the use of a momentum-projected mean-field ansatz for the quartet. The self-consistent single-particle wave functions are shown and discussed for various values of the density at the critical temperature. Excellent agreement of the critical temperature with a numerical solution of the Faddeev-Yakubovsky equation is obtained
Document type :
Journal articles

http://hal.in2p3.fr/in2p3-00392587
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Submitted on : Monday, June 8, 2009 - 2:44:22 PM
Last modification on : Thursday, November 19, 2020 - 3:52:36 PM

### Citation

T. Sogo, R. Lazauskas, G. Röpke, P. Schuck. Critical temperature for $\alpha$-particle condensation within a momentum-projected mean-field approach. Physical Review C, American Physical Society, 2009, 79, pp.051301. ⟨10.1103/PhysRevC.79.051301⟩. ⟨in2p3-00392587⟩

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