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Analytic relations for partial alpha decay half-lives and barrier heights and positions

Abstract : From an adjustment on a recent selected data set of partial α-decay half-lives of 344 ground state to ground state transitions, analytic formulae are proposed depending on the angular momentum of the α particle. In particular, an expression allows to reproduce precisely the partial α-decay half-lives of even-even heavy nuclei and, then, to predict accurately the partial α-decay half-lives of other very heavy elements from the experimental or predicted Qα. Simple expressions are also provided to calculate the potential barrier radius and height.
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G. Royer, C. Schreiber, H. Saulnier. Analytic relations for partial alpha decay half-lives and barrier heights and positions. International Workshop on State of the Art in Nuclear Cluster Physics (SOTANCP 2010), May 2010, Bruxelles, Belgium. pp.1030-1033, ⟨10.1142/S0218301311019209⟩. ⟨in2p3-00596855⟩

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