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arXiv 1507.01045nucl-th
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单λ超核非介子弱衰变的相对论模型

Relativistic model for the nonmesonic weak decay of single-lambda hypernuclei

C. E. Fontoura, F. Krmpotić, A. P. Galeão, C. De Conti, G. Krein

摘要:

考虑到它的未来扩展的理论研究有关的粲核,我们发展了一个相对论形式的单$Λ$超核的非介子弱衰变的独立粒子壳模型的框架和$(π,K)$单介子交换模型表示的动力学。给出了${}^{12}_Λ\textrm{C}$的单核子诱导跃迁率的数值计算结果,并与类似的非相对论计算结果进行了比较。这两种方法之间有令人满意的一致性,最值得注意的区别是比值$Γ_{n}/Γ_{p}$明显更高,更接近相对论计算中的实验值。我们和以前的相对论计算之间存在很大的差异,我们没有遇到任何完全令人满意的解释。我们的结果很好地再现了最新的实验数据。总之,我们已经达到了我们的目的,发展了一个可靠的模型,用于相对论计算$Λ$ -超核的非介子弱衰变,现在可以扩展到评估类似的过程中的粲核。

英文摘要:

Having in mind its future extension for theoretical investigations related to charmed nuclei, we develop a relativistic formalism for the nonmesonic weak decay of single-$Λ$ hypernuclei in the framework of the independent-particle shell model and with the dynamics represented by the $(π,K)$ one-meson-exchange model. Numerical results for the one-nucleon-induced transition rates of ${}^{12}_Λ\textrm{C}$ are presented and compared with those obtained in the analogous nonrelativistic calculation. There is satisfactory agreement between the two approaches, and the most noteworthy difference is that the ratio $Γ_{n}/Γ_{p}$ is appreciably higher and closer to the experimental value in the relativistic calculation. Large discrepancies between ours and previous relativistic calculations are found, for which we do not encounter any fully satisfactory explanation. The most recent experimental data is well reproduced by our results. In summary, we have achieved our purpose to develop a reliable model for the relativistic calculation of the nonmesonic weak decay of $Λ$-hypernuclei, which can now be extended to evaluate similar processes in charmed nuclei.

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