有效液滴模型对超铅区结团放射性的研究

圣宗强; 舒良萍; 孟影; 胡继刚; 钱建发

doi:10.7498/aps.63.162302

摘要

利用有效液滴模型计算了超铅区结团放射半衰期. 在计算Gamow势垒穿透因子时采用了碎块体积不守恒以及有效惯性系数因子，并用有效的核半径常数公式代替原来的经验公式. 理论计算得到的结团放射半衰期和实验值符合得很好，其半衰期对数值的均方差只有0.895. 理论结果表明，有效液滴模型能充分反映N=126和Z=82的壳效应，并且在奇数结团25Ne，29Mg中出现了明显的奇偶质量摆动现象. 另外，理论计算得到的结团半衰期基本符合盖革-努塔尔定律，并基于理论结果得到了一些关于盖革-努塔尔定律的有意义的结论.

关键词:

Abstract

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.

Keywords:

作者及机构信息

1.
安徽理工大学理学院, 淮南 232007;

2.
合肥工业大学电子科学与应用物理学院, 合肥 230009

基金项目: 国家自然科学基金（批准号：11247001）、安徽省级高校自然科学研究基金（批准号：KJ2012A083，KJ2013Z066）和中央高等学校基本科研基金（批准号：2012HG2Y0004）资助的课题.

Authors and contacts

1.
School of Science, Anhui University of Science and Technology, Huainan 232007, China;

2.
School of Electronic Science and Applied Physics, Hefei University of Technology, Hefei 230009, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11247001), the Natural Scientific Research Foundation of Institution of Higher Education of Anhui Province, China (Grant Nos. KJ2012A083, KJ2013Z066), and the Fundamental Scientific Research Foundation for the Central Universities of China (Grant No. 2012HG2Y0004).

参考文献

[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 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 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 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 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

施引文献

[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 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 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 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 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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