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In this paper, we calculate the scattering parameters for collision between potassium and cesium atoms at ultracold temperatures, such as s-wave scattering length, effective range and p-wave scattering length, by the quantum method and semiclassical method, respectively. The singlet and the triplet elastic scattering cross sections between 39K and Cs atoms at ultracold temperatures are dominated by s-wave scattering, and shape resonance occurs with the increase of collision energy. There exist pronounced g-wave and d-wave shape resonances for the singlet and the triplet cross sections, respectively. In addition, s-wave scattering lengths are calculated by using the degenerate internet state approximation for selected hyperfine states of 41KCs.
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Keywords:
- cold atom collision /
- scattering parameters /
- elastic scattering cross section /
- shape resonance
[1] Weiner J, Bagnato V S, Zilio S, Julienne P S 1999 Rev. Mod. Phys. 71 1
[2] Chin C, Grimm R, Julienne P S, Tiesinga E 2010 Rev. Mod. Phys. 82 125
[3] Burnett K, Julienne P S, Lett P D, Tiesinga E, Williams C J 2002 Nature(London) 416 225
[4] Esry B D, Greene C H, Burke J P, Bohn J L 1997 Phys. Rev. Lett. 78 3594
[5] Wang H, Nikolov A N, Ensher J R, Gould P L, Eyler E E, Stwalley W C, Burke J P, Bohn J L, Greene C H, Tiesinga E, Williams C J, Julienne P S 2000 Phys. Rev. A 62 052704
[6] De Sarlo L, Maioli P, Barontini G, Catani J, Minardi F, Inguscio M 2007 Phys. Rev. A 75 022715
[7] Falke S, Knöckel H, Friebe J, Riedmann M, Tiemann E, Lisdat C 2008 Phys. Rev. A 78 012503
[8] Leo P J, Williams C J, Julienne P S 2000 Phys. Rev. Lett. 85 2721
[9] Sun J F, Du B G, Zhang J C, Li W, Zhu Z L 2009 Chin. Phys. B 18 1019
[10] Roati G, Zaccanti M, D'Errico C, Catani J, Modugno M, Simoni A, Inguscio M, Modugno G 2007 Phys. Rev. Lett. 99 010403
[11] DeMarco B, Jin D S 1999 Science 285 1703
[12] Modugno G, Ferrari G, Roati G, Brecha R J, Simoni A, Inguscio M 2001 Science 294 1320
[13] Weber T, Herbig J, Mark M, Näerl H-C, Grimm R 2003 Science 299 232
[14] Zhang J C, Jia G R, Sun J F, Liu Y F 2010 J. Low Temp.Phys. 159 484
[15] Ferber R, Klincare I, Nikolayeva O, Tamanis M, Knöckel H, Tiemann E, Pashov A 2009 Phys. Rev. A 80 062501
[16] Côt? R, Dalgarno A, Wang H, Stwalley W C 1998 Phys. Rev. A 57 4118
[17] Weiss S B, Bhattacharya M, Bigelow N P 2003 Phys. Rev. A 68 042708
[18] Dalgarno A, Rudge M R H 1965 Proc. R. Soc. London, Ser. A 286 519
[19] Simos T E 1997 Computers Chem. 21 125
[20] Mott N F, Massey H S W 1965 The Theory of Atomic Collisons (Oxford: Clarendon)
[21] Gribakin G F, Flambaum V V 1993 Phys. Rev. A 48 546
[22] Flambaum V V, Gribakin G F, Harabati C 1999 Phys. Rev. A 59 1998
[23] Dickinson A S 2008 J. Phys. B 41 175302
[24] Sun J F, Zhang J C, Wang J M 2006 Chin. Phys. 15 531
[25] Jamieson M J, Zygelman B 2001 Phys. Rev. A 64 032703
[26] Sansonetti J E, Martin W C 2005 Handbook of Basic Atomic Spectroscopic Data (NIST, 2005)
[27] van Kempen E G M, Kokkelmans S J J M F, Heinzen D J, Verhaar B J 2002 Phys.Rev. Lett. 88 093201
[28] Martinez de Escobar Y N, Mickelson P G, Pellegrini P, Nagel S B, Traverso A, Yan M, Côt? R, Killian T C 2008 Phys. Rev. A 78 062708
[29] Londoño B E, Mahecha J E, Luc-Koenig E, Crubellier A 2010 Phys. Rev. A 82 012510
[30] Tiecke T G, Goosen M R, Walraven J T M, Kokkelmans S J J M F 2010 Phys. Rev. A 82 042712
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[1] Weiner J, Bagnato V S, Zilio S, Julienne P S 1999 Rev. Mod. Phys. 71 1
[2] Chin C, Grimm R, Julienne P S, Tiesinga E 2010 Rev. Mod. Phys. 82 125
[3] Burnett K, Julienne P S, Lett P D, Tiesinga E, Williams C J 2002 Nature(London) 416 225
[4] Esry B D, Greene C H, Burke J P, Bohn J L 1997 Phys. Rev. Lett. 78 3594
[5] Wang H, Nikolov A N, Ensher J R, Gould P L, Eyler E E, Stwalley W C, Burke J P, Bohn J L, Greene C H, Tiesinga E, Williams C J, Julienne P S 2000 Phys. Rev. A 62 052704
[6] De Sarlo L, Maioli P, Barontini G, Catani J, Minardi F, Inguscio M 2007 Phys. Rev. A 75 022715
[7] Falke S, Knöckel H, Friebe J, Riedmann M, Tiemann E, Lisdat C 2008 Phys. Rev. A 78 012503
[8] Leo P J, Williams C J, Julienne P S 2000 Phys. Rev. Lett. 85 2721
[9] Sun J F, Du B G, Zhang J C, Li W, Zhu Z L 2009 Chin. Phys. B 18 1019
[10] Roati G, Zaccanti M, D'Errico C, Catani J, Modugno M, Simoni A, Inguscio M, Modugno G 2007 Phys. Rev. Lett. 99 010403
[11] DeMarco B, Jin D S 1999 Science 285 1703
[12] Modugno G, Ferrari G, Roati G, Brecha R J, Simoni A, Inguscio M 2001 Science 294 1320
[13] Weber T, Herbig J, Mark M, Näerl H-C, Grimm R 2003 Science 299 232
[14] Zhang J C, Jia G R, Sun J F, Liu Y F 2010 J. Low Temp.Phys. 159 484
[15] Ferber R, Klincare I, Nikolayeva O, Tamanis M, Knöckel H, Tiemann E, Pashov A 2009 Phys. Rev. A 80 062501
[16] Côt? R, Dalgarno A, Wang H, Stwalley W C 1998 Phys. Rev. A 57 4118
[17] Weiss S B, Bhattacharya M, Bigelow N P 2003 Phys. Rev. A 68 042708
[18] Dalgarno A, Rudge M R H 1965 Proc. R. Soc. London, Ser. A 286 519
[19] Simos T E 1997 Computers Chem. 21 125
[20] Mott N F, Massey H S W 1965 The Theory of Atomic Collisons (Oxford: Clarendon)
[21] Gribakin G F, Flambaum V V 1993 Phys. Rev. A 48 546
[22] Flambaum V V, Gribakin G F, Harabati C 1999 Phys. Rev. A 59 1998
[23] Dickinson A S 2008 J. Phys. B 41 175302
[24] Sun J F, Zhang J C, Wang J M 2006 Chin. Phys. 15 531
[25] Jamieson M J, Zygelman B 2001 Phys. Rev. A 64 032703
[26] Sansonetti J E, Martin W C 2005 Handbook of Basic Atomic Spectroscopic Data (NIST, 2005)
[27] van Kempen E G M, Kokkelmans S J J M F, Heinzen D J, Verhaar B J 2002 Phys.Rev. Lett. 88 093201
[28] Martinez de Escobar Y N, Mickelson P G, Pellegrini P, Nagel S B, Traverso A, Yan M, Côt? R, Killian T C 2008 Phys. Rev. A 78 062708
[29] Londoño B E, Mahecha J E, Luc-Koenig E, Crubellier A 2010 Phys. Rev. A 82 012510
[30] Tiecke T G, Goosen M R, Walraven J T M, Kokkelmans S J J M F 2010 Phys. Rev. A 82 042712
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