Abstract.
We have studied the quantum dynamics of collisions between spin-stretched Na atoms and Na2 molecules. Cross-sections and rate coefficients for vibrational relaxation of Na2(v,j = 0) have been computed in the 1 nK-0.1 mK energy range using an accurate time-independent method based on hyperspherical coordinates. The complex scattering length and the extension of the Wigner region have been determined. A detailed study of the sensitivity of collisional quantities on the three-body interaction at short distance has been performed. They are very sensitive to three-body effects for the vibrational state v = 1 of Na2. Rotational distributions have also been calculated and show a more pronounced sensitivity on the three-body interaction, even for v = 2 and 3.
Similar content being viewed by others
References
A.E. Leanhardt, T.A. Pasquini, M. Saba, A. Schirotzek, Y. Shin, D. Kielpinski, D.E. Pritchard, W. Ketterle, Science 301, 1513 (2003)
R. Wynar, R.S. Freeland, D.J. Han, C. Ryu, D.J. Heinzen, Science 287, 1016 (2000)
C. McKenzie, J. Hecker Denschlag, H. Haffner, A. Browaeys, L.E.E. de Araujo, F.K. Fatemi, K.M. Jones, J.E. Simsarian, D. Cho, A. Simoni, E. Tiesinga, P.S. Julienne, K. Helmerson, P.D. Lett, S.L. Rolston, W.D. Phillips, Phys. Rev. Lett. 88, 120403 (2002)
F.K. Fatemi, K.M. Jones, P.D. Lett, E. Tiesinga, Phys. Rev. A 66, 053401 (2002)
L.E.E. de Araujo, J.D. Weinstein, S.D. Gensemer, F.K. Fatemi, K.M. Jones, P.D. Lett, E. Tiesinga, J. Chem. Phys. 119, 2062 (2003)
N. Vanhaecke, W. de Souza Melo, B. Laburthe Tolra, D. Comparat, P. Pillet, Phys. Rev. Lett. 89, 063001 (2002)
S. Inouye, M.R. Andrews, J. Stenger, H.-J. Miesner, D.M. Stamper-Kurn, W. Ketterle, Nature 392, 151 (1998)
K. Xu, T. Mukaiyama, J.R. Abo-Shaeer, J.K. Chin, D.E. Miller, W. Ketterle, Phys. Rev. Lett. 91, 210402 (2003)
E.A. Donley, N.R. Claussen, S.T. Thompson, C.E. Wieman, Nature 417, 529 (2002)
S. Dürr, T. Volz, A. Marte, G. Rempe, Phys. Rev. Lett. 92, 020406 (2004)
C. Chin, A.J. Kerman, V. Vuletic, S. Chu, Phys. Rev. Lett. 90, 033201 (2003)
S. Jochim, M. Bartenstein, A. Altmeyer, G. Hendl, S. Riedl, C. Chin, J. Hecker Denschlag, R. Grimm, Science 302, 2101 (2003)
M.W. Zwierlein, C.A. Stan, C.H. Schunck, S.M.F. Raupach, S. Gupta, Z. Hadzibabic, W. Ketterle, Phys. Rev. Lett. 91, 250401 (2003)
M. Greiner, C.A. Regal, D.S. Jin, Nature 426, 537 (2003)
N. Balakrishnan, R.C. Forrey, A. Dalgarno, Phys. Rev. Lett. 80, 3224 (1998)
A. Volpi, J.L. Bohn, Phys. Rev. A 65, 052712 (2002)
T. Stoecklin, A. Voronin, J.C. Rayez, Phys. Rev. A 68, 032716 (2003)
E. Bodo, F.A. Gianturco, A. Dalgarno, Chem. Phys. Lett. 353, 127 (2002)
N. Balakrishnan, G.C. Groenenboom, R.V. Krems, A. Dalgarno, J. Chem. Phys. 118, 7386 (2003)
N. Balakrishnan, R.C. Forrey, A. Dalgarno, Chem. Phys. Lett. 280, 1 (1997)
N. Balakrishnan, A. Dalgarno, Chem. Phys. Lett. 341, 652 (2001)
E. Bodo, F.A. Gianturco, A. Dalgarno, J. Chem. Phys. 116, 9222 (2002)
P. Soldán, M.T. Cvitaš, J.M. Hutson, Phys. Rev. A 67, 054702 (2003)
E.P. Wigner, Phys. Rev. 73, 1002 (1948)
J.-M. Launay, M. Le Dourneuf, Chem. Phys. Lett. 163, 178 (1989)
P. Honvault, J.-M. Launay, J. Chem. Phys. 111, 6665 (1999)
N. Balucani, L. Cartechini, G. Capozza, E. Segoloni, P. Casavecchia, G.G. Volpi, F.J. Aoiz, L. Bañares, P. Honvault, J.-M. Launay, Phys. Rev. Lett. 89, 013201 (2002)
P. Honvault, J.-M. Launay, J. Chem. Phys. 114, 1057 (2001)
F.J. Aoiz, L. Bañares, J.F. Castillo, M. Brouard, W. Denzer, C. Vallance, P. Honvault, J.-M. Launay, A.J. Dobbyn, P.J. Knowles, Phys. Rev. Lett. 86, 1729 (2001)
H. Suno, B.D. Esry, C.H. Greene, J.P. Burke, Phys. Rev. A 65, 042725 (2002)
D.E. Manolopoulos, J. Chem. Phys. 85, 6425 (1986)
A.M. Arthurs, A. Dalgarno, Proc. R. Soc. A 256, 540 (1960)
M. Rérat, B. Bussery-Honvault, Mol. Phys. 101, 373 (2003)
A.J.C. Varandas, Mol. Phys. 53, 1303 (1984)
J. Higgins, T. Hollebeek, J. Reho, T.-S. Ho, K.K. Lehmann, H. Rabitz, G. Scoles, J. Chem. Phys. 112, 5751 (2000)
At large distances the three-body term determined by Higgins et al. is unrealistically large. Since we are interested in the sensitivty of the three-body interaction at small distances, we have multiplied it by a cut-off function which depends smoothly on the hyperradius and goes from 1 at 40a 0 to 0 at 50a 0
R.D. Levine, R.B. Bernstein, Molecular Reaction Dynamics and Chemical Reactivity (Oxford University Press, New York, 1987)
P. Soldán, M.T. Cvitaš, J.M. Hutson, P. Honvault, J.-M. Launay, Phys. Rev. Lett. 89, 153201 (2002)
J.C. Flasher, R.C. Forrey, Phys. Rev. A 65, 032710 (2002)
Author information
Authors and Affiliations
Corresponding author
Additional information
Received: 29 March 2004, Published online: 22 June 2004
PACS:
34.50.-s Scattering of atoms and molecules
Rights and permissions
About this article
Cite this article
Quéméner, G., Honvault, P. & Launay, JM. Sensitivity of the dynamics of Na + Na\(\mathsf{_2}\) collisions on the three-body interaction at ultralow energies. Eur. Phys. J. D 30, 201–207 (2004). https://doi.org/10.1140/epjd/e2004-00078-2
Issue Date:
DOI: https://doi.org/10.1140/epjd/e2004-00078-2