# The $\alpha$-particle in nuclear matter

Abstract : Among the light nuclear clusters the alpha-particle is by far the strongest bound system and therefore expected to play a significant role in the dynamics of nuclei and the phases of nuclear matter. To systematically study the properties of the alpha-particle we have derived an effective four-body equation of the Alt-Grassberger-Sandhas (AGS) type that includes the dominant medium effects, i.e. self energy corrections and Pauli-blocking in a consistent way. The equation is solved utilizing the energy dependent pole expansion for the sub system amplitudes. We find that the Mott transition of an alpha-particle at rest differs from that expected from perturbation theory and occurs at approximately 1/10 of nuclear matter densities.
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Submitted on : Thursday, September 7, 2000 - 1:08:38 PM
Last modification on : Thursday, November 19, 2020 - 12:58:27 PM

### Citation

M. Beyer, S.A. Sofianos, C. Kuhrts, G. Roepke, P. Schuck. The $\alpha$-particle in nuclear matter. Physics Letters B, Elsevier, 2000, 488, pp.247-253. ⟨in2p3-00006008⟩

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