The experimental values of 2059 β-decay half-lives are systematically analyzed and investigated. We have found that they are in satisfactory agreement with Benford＇s law, which states that the frequency of occurrenc...The experimental values of 2059 β-decay half-lives are systematically analyzed and investigated. We have found that they are in satisfactory agreement with Benford＇s law, which states that the frequency of occurrence of each figure, 1-9, as the first significant digit in a surprisingly large number of different data sets follows a logarithmic distribution favoring the smaller ones. Benford＇s logarithmic distribution of β-deeay half-lives can be explained in terms of Neweomb＇s justification of Benford＇s law and empirical exponential law of β-decay half-lives. Moreover, we test the calculated values of 6721 β-decay half-lives with the aid of Benford＇s law. This indicates that Benford＇s law is useful for theoretical physicists to test their methods for calculating β-decay half-lives.展开更多
The unfavoredαtransitions of bismuth isotopes,including the newly observedα-decay fine structure in 209Bi[Beeman et al.,Phys.Rev.Lett.108(2012)062501]are investigated by the generalized density-dependent cluster mod...The unfavoredαtransitions of bismuth isotopes,including the newly observedα-decay fine structure in 209Bi[Beeman et al.,Phys.Rev.Lett.108(2012)062501]are investigated by the generalized density-dependent cluster model(GDDCM).Instead of the Wentzel-Kramers-Brillouin barrier penetration probability,the exact solution of the Schr?dinger equation under outgoing Coulomb wave boundary conditions is presented.The calculatedα-decay half-lives are found to be in good agreement with the experimental data for both odd-A and odd-odd nuclei.This indicates that the GDDCM has good applicability for unfavoredαtransitions in addition to favored ones.Some predictions onα-decay half-lives are also made for reference in future experiments.展开更多
基金supported by the National Natural Science Foundation of China under Grant Nos. 10675090, 10535010, and 10775068the National Fund for Forstering Talents of Basic Science under Grant No. J0630316+2 种基金the 973 State Key Basic Research and Development Program of China under Grant No. 2007CB815004the CAS Knowledge Innovation Project under Grant No. KJCX2-SW-N02the Research Fund of Doctoral Points under Grant No. 20070284016
文摘The experimental values of 2059 β-decay half-lives are systematically analyzed and investigated. We have found that they are in satisfactory agreement with Benford＇s law, which states that the frequency of occurrence of each figure, 1-9, as the first significant digit in a surprisingly large number of different data sets follows a logarithmic distribution favoring the smaller ones. Benford＇s logarithmic distribution of β-deeay half-lives can be explained in terms of Neweomb＇s justification of Benford＇s law and empirical exponential law of β-decay half-lives. Moreover, we test the calculated values of 6721 β-decay half-lives with the aid of Benford＇s law. This indicates that Benford＇s law is useful for theoretical physicists to test their methods for calculating β-decay half-lives.
基金Supported by the National Natural Science Foundation of China under Grant Nos 11035001, 10975072 and 11120101005the National Basic Research Program of China under Grant Nos 2013CB834400 and 2010CB327803+3 种基金the CAS Knowledge Innovation Project under Grant No KJCX2-SW-N02the Research Fund of Doctoral Point (RFDP) under Grant No 20100091110028the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD)the Science and Technology Development Fund of Macao under Grant No 068/2011/A.
文摘The unfavoredαtransitions of bismuth isotopes,including the newly observedα-decay fine structure in 209Bi[Beeman et al.,Phys.Rev.Lett.108(2012)062501]are investigated by the generalized density-dependent cluster model(GDDCM).Instead of the Wentzel-Kramers-Brillouin barrier penetration probability,the exact solution of the Schr?dinger equation under outgoing Coulomb wave boundary conditions is presented.The calculatedα-decay half-lives are found to be in good agreement with the experimental data for both odd-A and odd-odd nuclei.This indicates that the GDDCM has good applicability for unfavoredαtransitions in addition to favored ones.Some predictions onα-decay half-lives are also made for reference in future experiments.
