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arXiv 0906.0432nucl-th
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广义液滴模型中的质子放射性

Proton radioactivity within a generalized liquid drop model

J. M. Dong, H. F. Zhang, G. Royer

摘要:

从理论上研究了球形质子发射体的质子放射性半衰期。在广义液滴模型(GLDM)中,考虑了颈部原子核之间的邻近效应和质量与电荷的不对称性,在准分子形状的路径中确定了阻止质子发射的势垒.用WKB近似计算了穿透率。在半衰期计算中考虑了光谱因素,采用相对论平均场(RMF)理论结合BCS方法,在NL 3力的作用下得到半衰期。将GLDM内的半衰期与实验数据和其他理论值进行比较。当考虑光谱因子时,GLDM对球形质子发射体的计算结果很好,表明了引入光谱因子的必要性,以及GLDM对质子发射的成功应用。最后,我们提出了两个类似于Viola-Seaborg公式和Royer α衰变公式的质子发射半衰期计算公式。

英文摘要:

The proton radioactivity half-lives of spherical proton emitters are investigated theoretically. The potential barriers preventing the emission of protons are determined in the quasimolecular shape path within a generalized liquid drop model (GLDM) including the proximity effects between nuclei in a neck and the mass and charge asymmetry. The penetrability is calculated with the WKB approximation. The spectroscopic factor has been taken into account in half-life calculation, which is obtained by employing the relativistic mean field (RMF) theory combined with the BCS method with the force NL3. The half-lives within the GLDM are compared with the experimental data and other theoretical values. The GLDM works quite well for spherical proton emitters when the spectroscopic factors are considered, indicating the necessity of introducing the spectroscopic factor and the success of the GLDM for proton emission. Finally, we present two formulas for proton emission half-life calculation similar to the Viola-Seaborg formulas and Royer's formulas of alpha decay.

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