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The cluster radioactivities of trans-lead nuclei are systematically investigated by using the effective liquid drop description with the varying mass asymmetry shape and effective inertial coefficient. An effective nuclear radius constant formula is used instead of the original empirical formula in calculation. The calculated half-lives are in good agreement with the available experimental data. The root-mean-square deviation between the calculated logarithmic half-lives and the experimental ones is only 0.895. From the plots of the calculated lgT1/2 values versus the neutron (or proton) number of daughter, the shell effect of neutron magic number N=126 (or proton magic number Z=82) can be clearly seen. The odd-even-stagger can be clearly seen in the odd clusters 25Ne, 29Mg. The calculated half-lives conform to the Geiger-Nuttall law. We obtain some important conclusions about the Geiger-Nuttall law from the calculated results.
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Keywords:
- cluster radioactivity /
- effective liquid drop model /
- decay /
- half-lives
[1] Ning Z J, Li J X, Guo Z Y, Zhan W L, Wang J S, Xiao G Q, Wang Q J, Wang J C, Wang M, Wang J F, Chen Z Q 2001 Acta Phys. Sin. 50 644 (in Chinese) [宁振江, 李加兴, 郭忠言, 詹文龙, 王建松, 肖国青, 王全进, 王金川, 王猛, 王建峰, 陈志强 2001 物理学报 50 644]
[2] Hu Z G, Wang M, Xu H S, Sun Z Y, Wang J S, Xiao G Q, Zhan W L, Xiao Z G, Mao R S, Zhang H B, Zhao T C, Xu Z G, Wang Y, Chen R F, Huang T H, Gao H, Jia F, Fu F, Gao Q, Han J L, Zhang X H, Zheng C, Yu Z H, Fan R R, Li B, Guo Z Y 2008 Acta Phys. Sin. 57 2866 (in Chinese) [胡正国, 王猛, 徐瑚珊, 孙志宇, 王建松, 肖国青, 詹文龙, 肖志刚, 毛瑞士, 张宏斌, 赵铁成, 徐治国, 王玥, 陈若富, 黄天衡, 高辉, 贾飞, 付芬, 高启, 韩建龙, 章学恒, 郑川, 余正洪, 樊瑞睿, 李波, 郭忠言 2008 物理学报 57 2866]
[3] Yang T L, Yang C W, Ze R D, Xiong Z H, Hao F H 2010 Acta Phys. Sin. 59 8465 (in Chinese) [杨天丽, 杨朝文, 迮仁德, 熊宗华, 郝樊华 2010 物理学报 59 8465]
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[6] Gan Z G, Guo J S, Wu X L, Qin Z, Fan H M, Lei X G, Liu H Y, Guo B, Xu H G, Chen R F, Dong C F, Zhang F M, Wang H L, Xie C Y, Feng Z Q, Zhen Y, Song L T, Luo P, Xu H S, Zhou X H, Jin G M, Ren Z Z 2004 Eur. Phys. J. A 20 385
[7] Zhu M, Fu J L, Qu Z, Liu Z H, Wang W Z 2013 Chin. Phys. Lett. 30 082401
[8] Zhang Z Y, Gan Z G, Ma L, Huang M H, Huang T H, Wu X L, Jia G B, Li G S, Yu L, Ren Z Z, Zhou S G, Zhang Y H, Zhou X H, Xu H S, Zhang H Q, Xiao G Q, Zhan W L 2012 Chin. Phys. Lett. 29 012502
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[10] Rose H J, Jones G A 1984 Nature 307 245
[11] Bonetti R, Guglielmetti A 2007 Rom. Rep. Phys. 59 301
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[13] Barwick S W, Price P B, Stevenson J D 1985 Phys. Rev. C 31 1984
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[16] Poenaru D N, Greiner W, Ivascu M, Sandulescu A 1985 Phys. Rev. C 32 2198
[17] Royer G, Gupta R K, Denisov V Y 1998 Nucl. Phys. A 632 275
[18] Malik S S, Gupta R K 1989 Phys. Rev. C 39 1992
[19] Buck B, Merchant A C 1989 Phys. Rev. C 39 2097
[20] Kumar S, Gupta R K 1997 Phys. Rev. C 55 218
[21] Arun S K, Gupta R K, Kanwar S, Singh B, Sharma M K 2009 Phys. Rev. C 80 034317
[22] Zhang H F, Dong J M, Royer G, Zuo W, Li J Q 2009 Phys. Rev. C 80 037307
[23] Singh B, Patra S K, Gupta R K 2010 Phys. Rev. C 82 014607
[24] Ni D D, Ren Z Z 2010 Phys. Rev. C 82 024311
[25] Santhosh K P, Priyanka B, Unnikrishnan M S 2012 Nucl. Phys. A 889 29
[26] Zhang G L, Liu H, Le X Y 2009 Acta Phys. Sin. 58 2300 (in Chinese) [张高龙, 刘浩, 乐小云 2009 物理学报 58 2300]
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[28] Royer G, Moustabchir R 2001 Nucl. Phys. A 683 182
[29] Santhosh K P, Biju R K, Joseph A 2008 J. Phys. G: Nucl. Part. Phys. 35 085102
[30] Ren Z Z, Xu C, Wang Z J 2004 Phys. Rev. C 70 034304
[31] Ni D D, Ren Z Z, Dong T K, Xu C 2008 Phys. Rev. C 78 044310
[32] Qi C, Xu F R, Liotta R J, Wyss R 2009 Phys. Rev. Lett. 103 072501
[33] Gonçalves M, Duarte S B 1993 Phys. Rev. C 48 2409
[34] Duarte S B, Gonçalves M G 1996 Phys. Rev. C 53 2309
[35] Sheng Z Q, Ni D D, Ren Z Z 2011 J. Phys. G: Nucl. Part. Phys. 38 055103
[36] Gamow G 1928 Z. Phys. A 51 204
[37] Wang M, Audi G, Wapstra A H, Kondev F G, MacCormick M, Xu X, Pfeiffe B 2012 Chin. Phys. C 36 1603
[38] Royer G, Rousseau R 2009 Eur. Phys. J. A 42 541
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[1] Ning Z J, Li J X, Guo Z Y, Zhan W L, Wang J S, Xiao G Q, Wang Q J, Wang J C, Wang M, Wang J F, Chen Z Q 2001 Acta Phys. Sin. 50 644 (in Chinese) [宁振江, 李加兴, 郭忠言, 詹文龙, 王建松, 肖国青, 王全进, 王金川, 王猛, 王建峰, 陈志强 2001 物理学报 50 644]
[2] Hu Z G, Wang M, Xu H S, Sun Z Y, Wang J S, Xiao G Q, Zhan W L, Xiao Z G, Mao R S, Zhang H B, Zhao T C, Xu Z G, Wang Y, Chen R F, Huang T H, Gao H, Jia F, Fu F, Gao Q, Han J L, Zhang X H, Zheng C, Yu Z H, Fan R R, Li B, Guo Z Y 2008 Acta Phys. Sin. 57 2866 (in Chinese) [胡正国, 王猛, 徐瑚珊, 孙志宇, 王建松, 肖国青, 詹文龙, 肖志刚, 毛瑞士, 张宏斌, 赵铁成, 徐治国, 王玥, 陈若富, 黄天衡, 高辉, 贾飞, 付芬, 高启, 韩建龙, 章学恒, 郑川, 余正洪, 樊瑞睿, 李波, 郭忠言 2008 物理学报 57 2866]
[3] Yang T L, Yang C W, Ze R D, Xiong Z H, Hao F H 2010 Acta Phys. Sin. 59 8465 (in Chinese) [杨天丽, 杨朝文, 迮仁德, 熊宗华, 郝樊华 2010 物理学报 59 8465]
[4] Li J X, Liu P P, Wang J S, Hu Z G, Mao R S, Li C, Chen R F, Sun Z Y, Xu H S, Xiao G Q, Guo Z Y 2010 Chin. Phys. Lett. 27 032501
[5] Liang Y J, Li Y S, Zhu M, Liu Z H, Zhou H Y 2009 Chin. Phys. B 18 5267
[6] Gan Z G, Guo J S, Wu X L, Qin Z, Fan H M, Lei X G, Liu H Y, Guo B, Xu H G, Chen R F, Dong C F, Zhang F M, Wang H L, Xie C Y, Feng Z Q, Zhen Y, Song L T, Luo P, Xu H S, Zhou X H, Jin G M, Ren Z Z 2004 Eur. Phys. J. A 20 385
[7] Zhu M, Fu J L, Qu Z, Liu Z H, Wang W Z 2013 Chin. Phys. Lett. 30 082401
[8] Zhang Z Y, Gan Z G, Ma L, Huang M H, Huang T H, Wu X L, Jia G B, Li G S, Yu L, Ren Z Z, Zhou S G, Zhang Y H, Zhou X H, Xu H S, Zhang H Q, Xiao G Q, Zhan W L 2012 Chin. Phys. Lett. 29 012502
[9] Sandulescu A, Poenaru D N, Greiner W 1980 Sov. J. Part. Nucl. 11 528
[10] Rose H J, Jones G A 1984 Nature 307 245
[11] Bonetti R, Guglielmetti A 2007 Rom. Rep. Phys. 59 301
[12] Price P B 1989 Annu. Rev. Nucl. Part. Sci. 39 19
[13] Barwick S W, Price P B, Stevenson J D 1985 Phys. Rev. C 31 1984
[14] Price P B, Bonetti R, Guglielmetti A, Chiesa C, Matheoud R, Migliorino C, Moody K J 1992 Phys. Rev. C 46 1939
[15] Bonetti R, Carbonini C, Guglielmetti A, Hussonnois M, Trubert D, Le Naour C 2001 Nucl. Phys. A 686 64
[16] Poenaru D N, Greiner W, Ivascu M, Sandulescu A 1985 Phys. Rev. C 32 2198
[17] Royer G, Gupta R K, Denisov V Y 1998 Nucl. Phys. A 632 275
[18] Malik S S, Gupta R K 1989 Phys. Rev. C 39 1992
[19] Buck B, Merchant A C 1989 Phys. Rev. C 39 2097
[20] Kumar S, Gupta R K 1997 Phys. Rev. C 55 218
[21] Arun S K, Gupta R K, Kanwar S, Singh B, Sharma M K 2009 Phys. Rev. C 80 034317
[22] Zhang H F, Dong J M, Royer G, Zuo W, Li J Q 2009 Phys. Rev. C 80 037307
[23] Singh B, Patra S K, Gupta R K 2010 Phys. Rev. C 82 014607
[24] Ni D D, Ren Z Z 2010 Phys. Rev. C 82 024311
[25] Santhosh K P, Priyanka B, Unnikrishnan M S 2012 Nucl. Phys. A 889 29
[26] Zhang G L, Liu H, Le X Y 2009 Acta Phys. Sin. 58 2300 (in Chinese) [张高龙, 刘浩, 乐小云 2009 物理学报 58 2300]
[27] Zhang G L, Le X Y 2009 Chin. Phys. B 18 3810
[28] Royer G, Moustabchir R 2001 Nucl. Phys. A 683 182
[29] Santhosh K P, Biju R K, Joseph A 2008 J. Phys. G: Nucl. Part. Phys. 35 085102
[30] Ren Z Z, Xu C, Wang Z J 2004 Phys. Rev. C 70 034304
[31] Ni D D, Ren Z Z, Dong T K, Xu C 2008 Phys. Rev. C 78 044310
[32] Qi C, Xu F R, Liotta R J, Wyss R 2009 Phys. Rev. Lett. 103 072501
[33] Gonçalves M, Duarte S B 1993 Phys. Rev. C 48 2409
[34] Duarte S B, Gonçalves M G 1996 Phys. Rev. C 53 2309
[35] Sheng Z Q, Ni D D, Ren Z Z 2011 J. Phys. G: Nucl. Part. Phys. 38 055103
[36] Gamow G 1928 Z. Phys. A 51 204
[37] Wang M, Audi G, Wapstra A H, Kondev F G, MacCormick M, Xu X, Pfeiffe B 2012 Chin. Phys. C 36 1603
[38] Royer G, Rousseau R 2009 Eur. Phys. J. A 42 541
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