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International audienceAn effective α particle equation is derived for cases where an α particle is bound to a doubly magic nucleus. As an example, we consider(212)Po with the α on top of the(208)Pb core. The fully quantal solution of the problem is inspired by the THSR (Tohsaki-Horiuchi-Schuck-Röpke) wave function concept that has been successfully applied to light nuclei. Shell model calculations are improved by including four-particle (α-like) correlations that are of relevance when the matter density becomes low. In the region where the α-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. We present a microscopic calculation of both α-cluster preformation probability and decay width in typical α-emitter(212)Po. Using actually measured density distribution of the(208) Pb core, the calculated alpha decay width of(212)Po agrees fairly well with the measured one. Applications to other nuclei ((20)Ne) are discussed

Alpha Decay Width of212Po from a quartetting wave function approach