相对论平均场理论对Pt同位素形状演化的研究

王刚; 方向正; 郭建友

doi:10.7498/aps.61.102101

摘要

利用形变约束的相对论平均场理论研究了Pt同位素偶-偶核的形状演化,比较了基态结合能和四极形变的理论计算值和实验值, 分析了这些核的位能曲线、单粒子能级及其随四极形变2 的变化规律,发现从N=88到N=126, Pt同位素的基态变形从球形对称核经X(5)对称性核、演化为具有稳定形变的核,再演化为球形核的变化过程.其中, 166-172Pt是近球形核, 174Pt和192-196Pt位于球形和稳定形变之间,可能具有X(5)对称性, 176-190Pt具有稳定的变形, 198-202Pt是近球形核, 204Pt是球形核,这些结果与实验一致.

关键词:

Abstract

The relativistic mean field theory is used to investigate the shape evolution of Pt isotopes. The calculated binding energy and deformation parameter 2 are consistent with those obtained in experiment. The potential energy surfaces and the single particle levels show the shape evolution for Pt isotopes. From N=88 to N=126, the shapes for Pt nuclei evolve from spherical shapes to X(5), and then to shapes of stable quadruple deformation, finally back to the spherical shapes. In detail, 166-172Pt are spherical. 174Pt and 192-196Pt possess the X(5) symmetry. 176-190Pt are deformed nuclei. 204Pt holds spherical shape. These results in agreement with the experimental observations.

Keywords:

作者及机构信息

1.
安徽大学物理与材料科学学院, 合肥 230039

基金项目: 国家自然科学基金(批准号: 11175001)、教育部新世纪优秀人才支持计划基金(批准号: NCET-05-0558)、安徽省人才开发基金(批准号: 2007Z018)、安徽省自然科学基金(批准号: 11040606M07)、安徽省教育厅重点科研项目(批准号: KJ2009A129)和安徽大学211工程资助的课题.

Authors and contacts

1.
School of Physics and Material Science, Anhui University, Hefei 230039, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11175001), the Program for New Century Excellent Talents in University of China (Grant No. NCET-05-0558), the Program for Excellent Talents in Anhui Province, China (Grant No. 2007Z018), the Natural Science Foundation of Anhui Province, China (Grant No. 11040606M07), the Education Committee Foundation of Anhui Province, China (Grant No. KJ2009A129), and the 211 Project of Anhui University, China.

参考文献

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[2]	Han S, Kuang-Tsan W, Kim R 2008 Opt. Express 16 873
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[4]	Casten R F, Zamfir N V 2001 Phys. Rev. Lett. 87 052503
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[21]	Bengtsson R, Bengtsson T, Dudek J, Leander G, Nazarewicz W, Zhang J Y 1987 Phys. Rev. Lett. B 183 1
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[31]	Sheng Z Q, Guo J Y 2005 Mod. Phys. Lett. A 35 2711
[32]	Niksić T, Vretenar D, Lalazissis G A, Ring P 2007 Phys. Rev. Lett. 99 092502
[33]	Niksić T, Li Z P, Vretenar D, Próchniak L, Meng J, Ring P 2009 Phys. Rev. C 79 034303
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[36]	Li Z P, Niksić T, Vretenar D, Meng J 2010 Phys. Rev. C 81 034316
[37]	Guo J Y, Jiao P, Fang X Z 2010 Phys. Rev. C 82 047301
[38]	Zhang W, Li Z P, Zhang S Q, Meng J 2010 Phys. Rev. C 81 034302
[39]	Ren Z Z, Faeaaler A, Bohyk A 1998 Phys. Rev. C 57 2752
[40]	Serot B D, Walecka J D 1986 Nucl. Phys. A 16 1
[41]	Chen D H, Tai F, Ren Z Z 2003 High Energy Phys. Nucl. Phys. 27 707 (in Chinese) [陈鼎汉, 邰非, 任中洲 2003 高能物理与核物理 27 707]
[42]	Ring P 1996 Prog. Part. Nucl. Phys. 37 193
[43]	Camhhir Y K, Ring P, Thimet A 1990 Ann. Phys. (N.Y.) 198 132
[44]	Ren Z Z, Toki H 2001 Nucl. Phys. A 689 691
[45]	Long W H, Meng J, Giai N V, Zhou S G 2004 Phys. Rev. C 69 034319
[46]	Lalazissis G A, König J, Ring P 1997 Phys. Rev. C 55 1
[47]	Sharma M M, Ring P 1991 Phys. Rev. C 45 5
[48]	Sugahara Y, Toki H 1994 Nucl. Phys. A 579 557
[49]	Raman S, Nestor Jr. C W, Tikkanen P 2001 At. Data Nucl. Data Tables 78 1

施引文献

[1]	Vojta M, Zhang Y, Sachdev S 2000 Phys. Rev. Lett. 85 4940
[2]	Han S, Kuang-Tsan W, Kim R 2008 Opt. Express 16 873
[3]	Iachello F 2001 Phys. Rev. Lett. 87 052502
[4]	Casten R F, Zamfir N V 2001 Phys. Rev. Lett. 87 052503
[5]	Kruken R, Albanna B, Bialik C, Casten R F, Cooper J R, Dewald A, Zamfir N V, Barton C J, Beausang C W, Caprio M A, Hecht A A, Klug T, Novak J R, Pietralla N, Brentano P 2002 Phys. Rev. Lett. 88 232501
[6]	Tonev D, Dewald A, Klug T, Petkov P, Jolie J, Fitzler A, Möller O, Heinze S, Brentano P, Casten R F 2004 Phys. Rev. C 69 034334
[7]	Iachello F 2000 Phys. Rev. Lett. 85 3580
[8]	Casten R F, Zamfir N V 2000 Phys. Rev. Lett. 85 17
[9]	Frank A, Alonso C E, Arias J M 2001 Phys. Rev. C 65 014301
[10]	Zamfir N V, Caprio M A, Casten R F, Barton C J, Beausang C W, Berant Z, Brenner D S, Chou W T, Cooper J R, Hecht A A, Krucken R, Newman H, Novak J R, Pieralla N, Wolf A, Zyromski K E 2002 Phys. Rev. C 65 044325
[11]	Clark R M, Cromaz M, Deleplanque M A, Descovich M, Diamond R M, Fallon P, Lee I Y, Macchiavelli A O, Mahmud H, Rodriguez-Vieitez E, Stephens F S, Ward D 2004 Phys. Rev. C 69 064322
[12]	Mihai C, Zamfir N V, Bucurescu D, Cata-Danil G, Cata-Danil I, Ghita D G, Ivascu M, Sava T, Stroe L, Suliman G 2007 Phys. Rev. C 75 044302
[13]	Kondev F G, Carpenter M P, Janssens R V F, Wiedenhover I, Alcorta M, Brown L T, Davids C N, Khoo T L, Lauritsen T, Lister C J, Seweryniak D, Siem S, Sonzogni A A, Uusitalo J 2000 Phys. Rev. C 61 044323
[14]	Blanc F L, Lunney D, Obert J, Oms J, Putaux J C, Roussiere B, Sauvage J, Zemlyanoi S, Pinard J, Cabaret L, Duong H T, Huber G, Krieg M, Sebastian V, Crawford J E, Lee J K P, Girod M, Péru S, Genevey J, Lettry J 1999 Phys. Rev. C 60 054310
[15]	Joss D T, Simpson J, Appelbe D E, Barton C J, Warner D D, Lagergren K, Cederwall B, Hadinia B, Eeckhaudt S, Grahn T, Greenlees P T, Jones P M, Julin R, Juurinen S, Kettunen H, Leino M, Leppanen A P, Nieminen P, Pakarinen J, Perkowski J, Rahkila P, Scholey C, Uusitalo J, van de Vel K, Page R D, Paul E S, Wiseman D R, Riley M A 2006 Phys. Rev. C 74 014302
[16]	Popescu D G, Waddington J C, Cameron J A, Johansson J K, Schmeing N C, Schmitz W, Carpenter M P, Janzen V P, Nyberg J, Riedinger L L, Hubel H, Kajrys G, Monaro S, Pilotte S, Bourgeois C, Perrin N, Sergolle H, Hojman D, Korichi A 1997 Phys. Rev. C 55 1175
[17]	Xu Y, Krane K S, Gummin M A, Jarrio M, Wood J L, Carter H K 1992 Phys. Rev. Lett. 68 3853
[18]	Sauvage-Letessier J, Quentin P, Flocard H 1981 Nucl. Phys. A 370 231
[19]	Ansari A 1986 Phys. Rev. C 33 321
[20]	Bonche P, Krieger S J, Quentin P, Weiss M S, Meyer J, Meyer M, Redon N, Flocard H, Heenen P H 1989 Nucl. Phys. A 500 308
[21]	Bengtsson R, Bengtsson T, Dudek J, Leander G, Nazarewicz W, Zhang J Y 1987 Phys. Rev. Lett. B 183 1
[22]	Möller P, Nix J R, Myers W D, Swiatecki W J 1995 At. Data Nucl. Data Tables 59 185
[23]	Möller P, Bengtsson R, Carlsson B G, Olivius P, Ichikawa T, Sagawa H, Lwamoto A 2008 At. Data Nucl. Data Tables 94 758
[24]	Audi G, Wapstra A H, Thibault C 2003 Nucl. Phys. A 729 337
[25]	Hilberath T, Becker S, Bollen G, Kluge H J, Kronert U, Passler G, Rikovska J, Wyss R, Collaboration I 1992 Z. Phys. A 342 1
[26]	Fossion R, Bonatsos D, Lalazissis G A 2006 Phys. Rev. C 73 044310
[27]	Furnstahl R J 2002 Nucl. Phys. A 706 85
[28]	Meng J, Ring P 1996 Phys. Rev. Lett. 77 3963
[29]	Meng J, Ring P 1998 Phys. Rev. Lett. 80 460
[30]	Meng J, Zhang W, Zhou S G, Toki H, Geng L S 2005 Eur. Phys. J. A 25 23
[31]	Sheng Z Q, Guo J Y 2005 Mod. Phys. Lett. A 35 2711
[32]	Niksić T, Vretenar D, Lalazissis G A, Ring P 2007 Phys. Rev. Lett. 99 092502
[33]	Niksić T, Li Z P, Vretenar D, Próchniak L, Meng J, Ring P 2009 Phys. Rev. C 79 034303
[34]	Li Z P, Niksić T, Vretenar D, Meng J, Lalazissis G A, Ring P 2009 Phys. Rev. C 79 054301
[35]	Li Z P, Niksić T, Vretenar D, Meng J 2009 Phys. Rev. C 80 061301
[36]	Li Z P, Niksić T, Vretenar D, Meng J 2010 Phys. Rev. C 81 034316
[37]	Guo J Y, Jiao P, Fang X Z 2010 Phys. Rev. C 82 047301
[38]	Zhang W, Li Z P, Zhang S Q, Meng J 2010 Phys. Rev. C 81 034302
[39]	Ren Z Z, Faeaaler A, Bohyk A 1998 Phys. Rev. C 57 2752
[40]	Serot B D, Walecka J D 1986 Nucl. Phys. A 16 1
[41]	Chen D H, Tai F, Ren Z Z 2003 High Energy Phys. Nucl. Phys. 27 707 (in Chinese) [陈鼎汉, 邰非, 任中洲 2003 高能物理与核物理 27 707]
[42]	Ring P 1996 Prog. Part. Nucl. Phys. 37 193
[43]	Camhhir Y K, Ring P, Thimet A 1990 Ann. Phys. (N.Y.) 198 132
[44]	Ren Z Z, Toki H 2001 Nucl. Phys. A 689 691
[45]	Long W H, Meng J, Giai N V, Zhou S G 2004 Phys. Rev. C 69 034319
[46]	Lalazissis G A, König J, Ring P 1997 Phys. Rev. C 55 1
[47]	Sharma M M, Ring P 1991 Phys. Rev. C 45 5
[48]	Sugahara Y, Toki H 1994 Nucl. Phys. A 579 557
[49]	Raman S, Nestor Jr. C W, Tikkanen P 2001 At. Data Nucl. Data Tables 78 1

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