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He-He-Ba三原子体系弱束缚态计算

勾庆东 李勇

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He-He-Ba三原子体系弱束缚态计算

勾庆东, 李勇

Calculations of the binding energies of weakly bound He-He-Ba molecules

Gou Qing-Dong, Li Yong
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  • 本文利用含有绝热近似的超球坐标方法计算了碱土金属原子Ba和氦原子组成的弱束缚三原子分子体系He2Ba的基态性质. 系统地研究了该系统的道函数和超球势曲线特征, 进而得到体系的束缚能. 研究结果显示, 138Ba 与4He, 3He 的各种组合4He-4He-138Ba, 4He-3He-138Ba和3He-3He-138Ba都分别只有一个束缚态.
    The three-body Schrdinger equation is approximately solved in the hyperspherical coordinates and the binding energies of the three-body weakly bound systems are calculated with the purpose to find if He-He-Ba trimers could exist. Using the special feature of the B-spline function like the flexible and highly localized properties, hypersphercial potentials are obtained by modifying the knots distribution of the B-spline basis of different weakly bound three-atom systems. Employing the best empirical interaction potentials between each pair of particles, we obtain that in the ground state binding energies of the weakly bound typical three-atom systems, the bindings of the molecules, 4He-4He-138Ba, 4He-3He-138Ba and 3He-3He-138Ba are possible. The binding energies of these systems are shown in the order of 1 Kelvin, each system could support only one bound state. These weakly bound molecules can exist only in a very cold environment. To get insight into the geometry of the molecules, the features of the channel functions associated with the hyperspherical potential curves of each system are investigated.
      通信作者: 李勇, yongli@phy.ccnu.edu.cn
    • 基金项目: 国家自然科学基金(批准号: 11464020, 11164010)资助的课题.
      Corresponding author: Li Yong, yongli@phy.ccnu.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11464020, 11164010).
    [1]

    Richard J M, Fleck S 1994 Phys. Rev. Lett. 73 1464

    [2]

    Federov D V, Jensen A S, Riisager K 1994 Phys. Rev. Lett. 73 2817

    [3]

    Efimov V 1970 Phys. Lett. B 33 563

    [4]

    Efimov V 1971 Sov. J. Nucl. Phys. 12 589

    [5]

    Efimov V 1973 Nucl. Phys. A 210 157

    [6]

    Macek J 1986 Z. Phys. D 3 31

    [7]

    Macek J 2007 Phys. Scr. 76 c3

    [8]

    Tanihata I 1991 Nucl. Phys. A 522 275c

    [9]

    Fedorov D V, Jensen A S, Riisager K 1994 Phys. Rev. C 49 201

    [10]

    Cobis A, Fedorov D V, Jensen A S 1998 Phys. Rev. C 58 1403

    [11]

    Liang Y J, Li Y S, Zhu M, Liu Z H, Zhou H Y 2009 Chin. Phys. B 18 5267

    [12]

    Liu Z H, Zhou H Y 2005 Chin. Phys. B, 14 1544

    [13]

    Liang Y J, Li Y S, Liu Z H, Zhou H Y 2009 Chin. Phys. Lett. 26 032102

    [14]

    Wu Z D, Lin C J, Zhang H Q, Liu Z H, Yang F, An G P, Zhang C L, Zhang G L, Jia H M, Xu X X, Bai C L, Yu N, Jia F 2009 Chin. Phys. Lett. 26 022503

    [15]

    Han R, Li J X, Yao J M, Ji J X, Wang J S, Hu Q 2010 Chin. Phys. Lett. 27 092101

    [16]

    Lim T K, Duffy S K, Damer W C 1977 Phys. Rev. Lett. 38 341

    [17]

    Cornelius T, Glckle W 1986 J. Chem. Phys. 85 3906

    [18]

    Esry B D, Lin C D, Greene C H 1996 Phys. Rev. A 54 394

    [19]

    Kraemer T, Mark M, Waldburger P, Danzl J G, Chin C, Engeser B, Lange A D, Pilch K, Jaakkola A, Ngerl H C, Grimm R 2006 Nature 440 315

    [20]

    Kunitski M, Zeller S, Voigtsberger J, Kalinin A, Schmidt L P H, Schoffler M, Czasch A, Schollkopf W, Grisenti R E, Jahnke T, Blume D, Dorner R 2015 Science 348 551

    [21]

    Goy J, Richard J M, Fleck S 1995 Phys. Rev. A 52 3511

    [22]

    Yuan J M, Lin C D 1998 J. Phys. B 31 L637

    [23]

    Li Y, Lin C D 1999 J. Phys. B 32 4877

    [24]

    Baccarelli I, Delgado-Barrio G, Gianturco F A, Gonzlez-Lezana T, Miret-Artes S, Villarreal P 2000 Phys. Chem. Chem. Phys. 2 4067

    [25]

    Kleinekathfer U 2000 Chem. Phys. Lett. 324 403

    [26]

    Kleinekathfer U, Lewerenz M, Mladenovic M 1999 Phys. Rev. Lett. 83 4717

    [27]

    Li Y, Song H W, Gou Q D, Han H L, Shi T Y 2009 Phys. Rev. A 79 024501

    [28]

    Han H L, Li Y, Shi T Y 2011 J. Chem. Phys. 134 194307

    [29]

    Li Y, Huang D P, Gou Q D, Han H L, Shi T Y 2011 Phys. Rev. A 84 014501

    [30]

    Guevara N L, Wang Y J, Esry B D 2012 Phys. Rev. Lett. 108 213202

    [31]

    Du Q, Wang L, Shen X H, Wang H Y, Gao T, Zhu Z H 2009 Acta Phys. Sin. 58 178(in Chinese) [杜泉, 王玲, 谌晓洪, 王红艳, 高涛, 朱正和 2009 物理学报 58 178]

    [32]

    Lin C D 1995 Physics Reports 257 1

    [33]

    Stratace A, Webster G L 1979 Phys. Rev. A 19 1629

    [34]

    Parish C A, Dykstra C E 1994 J. Chem. Phys. 101 7618

    [35]

    Reggen I, Almlf J 1995 J. Chem. Phys. 102 7095

    [36]

    Aziz R A, Slaman M J 1991 J. Chem. Phys. 94 8047

    [37]

    Li Y, Gou Q D, Shi T Y 2006 Phys. Rev. A 74 032502

    [38]

    Li Y, Lin C D 1999 Phys. Rev. A 60 2009

    [39]

    Xie W F 2004 Chin. Phys. B 13 1806

    [40]

    Yuan J M, Esry B D, Morishita T, Lin C D 1998 Phys. Rev. A 58 R4

    [41]

    Bao C G, Yang X Z, Lin C D 1997 Phys. Rev. A 55 4168

    [42]

    Li Y, Gou Q D 2012 Phys. Rev. A 85 012510

    [43]

    Li Y, Gou Q D 2012 Phys. Rev. A 86 016502

    [44]

    Li Y, Zhang W J, Gou Q D, Song H W, Shi T Y 2010 Phys. Rev. A 82 022515

    [45]

    Hiroya Suno, Esry B D 2010 Phys. Rev. A 82 062521

  • [1]

    Richard J M, Fleck S 1994 Phys. Rev. Lett. 73 1464

    [2]

    Federov D V, Jensen A S, Riisager K 1994 Phys. Rev. Lett. 73 2817

    [3]

    Efimov V 1970 Phys. Lett. B 33 563

    [4]

    Efimov V 1971 Sov. J. Nucl. Phys. 12 589

    [5]

    Efimov V 1973 Nucl. Phys. A 210 157

    [6]

    Macek J 1986 Z. Phys. D 3 31

    [7]

    Macek J 2007 Phys. Scr. 76 c3

    [8]

    Tanihata I 1991 Nucl. Phys. A 522 275c

    [9]

    Fedorov D V, Jensen A S, Riisager K 1994 Phys. Rev. C 49 201

    [10]

    Cobis A, Fedorov D V, Jensen A S 1998 Phys. Rev. C 58 1403

    [11]

    Liang Y J, Li Y S, Zhu M, Liu Z H, Zhou H Y 2009 Chin. Phys. B 18 5267

    [12]

    Liu Z H, Zhou H Y 2005 Chin. Phys. B, 14 1544

    [13]

    Liang Y J, Li Y S, Liu Z H, Zhou H Y 2009 Chin. Phys. Lett. 26 032102

    [14]

    Wu Z D, Lin C J, Zhang H Q, Liu Z H, Yang F, An G P, Zhang C L, Zhang G L, Jia H M, Xu X X, Bai C L, Yu N, Jia F 2009 Chin. Phys. Lett. 26 022503

    [15]

    Han R, Li J X, Yao J M, Ji J X, Wang J S, Hu Q 2010 Chin. Phys. Lett. 27 092101

    [16]

    Lim T K, Duffy S K, Damer W C 1977 Phys. Rev. Lett. 38 341

    [17]

    Cornelius T, Glckle W 1986 J. Chem. Phys. 85 3906

    [18]

    Esry B D, Lin C D, Greene C H 1996 Phys. Rev. A 54 394

    [19]

    Kraemer T, Mark M, Waldburger P, Danzl J G, Chin C, Engeser B, Lange A D, Pilch K, Jaakkola A, Ngerl H C, Grimm R 2006 Nature 440 315

    [20]

    Kunitski M, Zeller S, Voigtsberger J, Kalinin A, Schmidt L P H, Schoffler M, Czasch A, Schollkopf W, Grisenti R E, Jahnke T, Blume D, Dorner R 2015 Science 348 551

    [21]

    Goy J, Richard J M, Fleck S 1995 Phys. Rev. A 52 3511

    [22]

    Yuan J M, Lin C D 1998 J. Phys. B 31 L637

    [23]

    Li Y, Lin C D 1999 J. Phys. B 32 4877

    [24]

    Baccarelli I, Delgado-Barrio G, Gianturco F A, Gonzlez-Lezana T, Miret-Artes S, Villarreal P 2000 Phys. Chem. Chem. Phys. 2 4067

    [25]

    Kleinekathfer U 2000 Chem. Phys. Lett. 324 403

    [26]

    Kleinekathfer U, Lewerenz M, Mladenovic M 1999 Phys. Rev. Lett. 83 4717

    [27]

    Li Y, Song H W, Gou Q D, Han H L, Shi T Y 2009 Phys. Rev. A 79 024501

    [28]

    Han H L, Li Y, Shi T Y 2011 J. Chem. Phys. 134 194307

    [29]

    Li Y, Huang D P, Gou Q D, Han H L, Shi T Y 2011 Phys. Rev. A 84 014501

    [30]

    Guevara N L, Wang Y J, Esry B D 2012 Phys. Rev. Lett. 108 213202

    [31]

    Du Q, Wang L, Shen X H, Wang H Y, Gao T, Zhu Z H 2009 Acta Phys. Sin. 58 178(in Chinese) [杜泉, 王玲, 谌晓洪, 王红艳, 高涛, 朱正和 2009 物理学报 58 178]

    [32]

    Lin C D 1995 Physics Reports 257 1

    [33]

    Stratace A, Webster G L 1979 Phys. Rev. A 19 1629

    [34]

    Parish C A, Dykstra C E 1994 J. Chem. Phys. 101 7618

    [35]

    Reggen I, Almlf J 1995 J. Chem. Phys. 102 7095

    [36]

    Aziz R A, Slaman M J 1991 J. Chem. Phys. 94 8047

    [37]

    Li Y, Gou Q D, Shi T Y 2006 Phys. Rev. A 74 032502

    [38]

    Li Y, Lin C D 1999 Phys. Rev. A 60 2009

    [39]

    Xie W F 2004 Chin. Phys. B 13 1806

    [40]

    Yuan J M, Esry B D, Morishita T, Lin C D 1998 Phys. Rev. A 58 R4

    [41]

    Bao C G, Yang X Z, Lin C D 1997 Phys. Rev. A 55 4168

    [42]

    Li Y, Gou Q D 2012 Phys. Rev. A 85 012510

    [43]

    Li Y, Gou Q D 2012 Phys. Rev. A 86 016502

    [44]

    Li Y, Zhang W J, Gou Q D, Song H W, Shi T Y 2010 Phys. Rev. A 82 022515

    [45]

    Hiroya Suno, Esry B D 2010 Phys. Rev. A 82 062521

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出版历程
  • 收稿日期:  2015-04-07
  • 修回日期:  2015-06-05
  • 刊出日期:  2015-10-05

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