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

Gou Qing-Dong; Li Yong

doi:10.7498/aps.64.193102

Abstract

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.

Keywords:

Authors and contacts

Gou Qing-Dong^{1 2},
Li Yong¹

1.
Department of Physics, Central China Normal University, Wuhan 430079, China;
2.
Department of Physics, Jinggangshan University, Ji'an 343009, China

Corresponding author: Li Yong, yongli@phy.ccnu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11464020, 11164010).

References

[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

Cited By

[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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Vol. 64, Issue 19 - 2015-10-05

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