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arXiv 1907.04560nucl-thhep-ph
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用数值电子波函数计算允许的$β$ -衰变谱

Allowed $β$-decay spectrum with numerical electron wave functions

Dong-Liang Fang

摘要:

利用数值电子波函数和最先进的核多体方法,我评估的$β$衰变谱的典型衰变通道的球形核。我检查各种近似所带来的错误,用于推导允许衰变的分析形状因子(所谓的费米函数)。对不同的电荷分布所带来的误差进行了估计,并给出了一种利用特定核的衰变数据估计$β$能谱的方法。发现传统的用费米函数来近似电子波函数的方法会给光谱模拟带来很大的误差。

英文摘要:

Using numerical electron wave functions and state-of-the-art nuclear many-body methods, I evaluate the $β$-decay spectra for typical decay channels of spherical nuclei. I check errors brought by various approximations used for deriving the analytical shape factors (the so-called Fermi Function) of allowed decay. I estimate the errors brought by different electric charge distributions and give a way of estimation of $β$-spectra with available decay data of specific nuclei. I found that the traditional ways of approximating the electron wave functions by Fermi Function could be a very severe source of error for spectra simulation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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