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Systematics of half-lives for proton radioactivity

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Abstract.

Half-life measurements for both ground-state and isomeric transitions in proton radioactivity are systematized by using a semiempirical, one-parameter model based on tunneling through a potential barrier, where the centrifugal and overlapping effects are taken into account within the spherical nucleus approximation. This approach, which has been successfully applied to alpha decay cases covering ∼ 30 orders of magnitude in half-life, has shown, in addition, very adequate at fitting all existing data on partial half-life, T 1/2p , of proton emission from nuclei. Nearly 70 measured half-life values have been analysed, and the data could be described by two straight lines relating the pure Coulomb contribution to half-life with the quantity \(\ensuremath Z_{\rm d}(\mu_0/Q_{{\rm p}})^{1/2}\) (Z d is the atomic number of the daughter nucleus, μ0 is the reduced mass, and Q p is the total nuclear energy available for decay). These straight lines are shown to correspond to different degrees of deformation, namely, very prolate ( δ ≳ 0.1 , and other shaped ( δ ≲ 0.1 parent nuclei. The goodness in reproducing the data attained in the present systematics allows for half-life predictions for a few possible cases of proton radioactivity not yet experimentally accessed.

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Authors and Affiliations

  1. Centro Brasileiro de Pesquisas Fısicas - CBPF/MCT, Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro-RJ, Brazil

    E. L. Medeiros, M. M. N. Rodrigues, S. B. Duarte & O. A. P. Tavares

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  1. E. L. Medeiros
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  2. M. M. N. Rodrigues
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  3. S. B. Duarte
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Medeiros, E.L., Rodrigues, M.M.N., Duarte, S.B. et al. Systematics of half-lives for proton radioactivity. Eur. Phys. J. A 34, 417–427 (2007). https://doi.org/10.1140/epja/i2007-10513-4

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