Journal
PHYSICAL REVIEW C
Volume 90, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevC.90.034304
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Funding
- National Natural Science Foundation of China [11035001, 10975072, 10735010, 11375086, 11175085, 11235001, 11120101005]
- 973 Program of China [2010CB327803, 2013CB834400]
- Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD)
- Grants-in-Aid for Scientific Research [26400283, 23224008] Funding Source: KAKEN
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An effective alpha-particle equation is derived for cases where an alpha particle is bound to a doubly magic nucleus. As an example, we consider Po-212 with the alpha on top of the Pb-208 core. We consider the core nucleus infinitely heavy, so that the alpha particle moves with respect to a fixed center; that is, recoil effects are neglected. The fully quantal solution of the problem is discussed. The approach is inspired by the Tohsaki-Horiuchi-Schuck-Ropke 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 Po-212 are presented. Such preformed cluster states are very difficult to describe with shell-model calculations. Reasons for the different physics behavior of an alpha-like cluster with respect to a deuteron-like cluster are discussed.
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