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An empirical formula for the half-lives of exotic two-proton emission

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Abstract.

An empirical formula is proposed for the two-proton decay half-lives. This study is an extension of the empirical formula reported recently by us for calculating the logarithmic half-lives of one-proton emitters. A similar four-parameter formula as a function of angular momentum is proposed for the two-proton emitters. The parameters of the formula are fitted using the results of the effective liquid drop model (ELDM). The obtained formula is found to agree fairly well with the known experimental values of the half-lives as well as with other theoretical model predictions. Apart from the experimentally known 2-p emitters, the results using the formula are found to compare well within an order magnitude with the results of the ELDM. Further calculations are carried out in the heavy and superheavy region for the prediction of one and two-proton emitters.

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Authors and Affiliations

  1. Department of Physics, Bharathiar University, 641046, Coimbatore, India

    I. Sreeja & M. Balasubramaniam

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  1. I. Sreeja
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  2. M. Balasubramaniam
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Correspondence to M. Balasubramaniam.

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Communicated by P. Capel

Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The half-life calculations using the proposed formula for the known two-proton emitters as well as other possible predicted cases are all reported as tables and figures. All data generated during this study are contained in this published article.]

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Sreeja, I., Balasubramaniam, M. An empirical formula for the half-lives of exotic two-proton emission. Eur. Phys. J. A 55, 33 (2019). https://doi.org/10.1140/epja/i2019-12694-5

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