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Bound clusters on top of doubly magic nuclei

Abstract : An effective $\alpha$ particle equation is derived for cases where an $\alpha$ particle is formed on top of a doubly magic nucleus. As an example, we consider $^{212}$Po with the $\alpha$ on top of the $^{208}$ Pb core. We will consider the core nucleus infinitely heavy, so that the $\alpha$ particle moves with respect to a fixed center, i.e., recoil effects are neglected. The fully quantal solution of the problem is discussed. The approach is inspired by the THSR (Tohsaki-Horiuchi-Schuck-R\"{o}pke) wave function concept that has been successfully applied to light nuclei. Shell model calculations are improved by including four-particle ($\alpha$-like) correlations that are of relevance when the matter density becomes low. In the region where the $\alpha$-like cluster penetrates the core nucleus, the intrinsic bound state wave function transforms at a critical density into an unbound four-nucleon shell model state. Exploratory calculations for $^{212}$Po are presented. Such preformed cluster states are only hardly described by shell model calculations. Reasons for different physics behavior of an $\alpha$-like cluster with respect to a deuteron-like cluster are discussed.
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Contributor : Sophie Heurteau Connect in order to contact the contributor
Submitted on : Friday, July 25, 2014 - 4:28:28 PM
Last modification on : Tuesday, November 30, 2021 - 8:32:05 AM

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G. Röpke, P. Schuck, Y. Funaki, H. Horiuchi, Zhongzhou Ren, et al.. Bound clusters on top of doubly magic nuclei. Physical Review C, American Physical Society, 2014, 90 (3), pp.034304. ⟨10.1103/PhysRevC.90.034304⟩. ⟨in2p3-01051025⟩



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