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Determination of the Scattering Lengths of 39K from 1u Photoassociation Lineshapes



Carl J. Williams, Eite Tiesinga, Paul S. Julienne, H Wang, W C. Stwalley, P L. Gould


We report threshold scattering properties for 39K(f = 1) atoms obtained from analysis of experimental photoassociation spectra of the purely long-range 39K21u state. The existence of hyperfine structure in the excited K2 1u state and a knowledge of the Hamiltonian structure for two colliding ground state alkali atoms enables us to obtain information on the sign and magnitudes of certain scattering lengths for ground state collisions. Analysis of the experimental photoassociation lineshapes shows that the 39K scattering lengths are between -3.2 nm and +0.8 nm (-60ao and + 5ao, where 1ao = 1 a.u. = 0.0529177 nm) for the a3ςu+ molecular state, between +4.8 nm and +12 nm (+ 90ao and + 230ao) for the X1 ς+g state, and between - 7.9 and + 1.1 nm (-150ao and + 20ao) for collisions of two f= 1.m -1 atoms.
Physical Review A (Atomic, Molecular and Optical Physics)
No. 6


ground state, lineshape, photoassociation spectroscopy, potassium, pure long range state, scattering length


Williams, C. , Tiesinga, E. , Julienne, P. , Wang, H. , Stwalley, W. and Gould, P. (1999), Determination of the Scattering Lengths of <sup>39</sup>K from 1<sub>u</sub> Photoassociation Lineshapes, Physical Review A (Atomic, Molecular and Optical Physics) (Accessed July 14, 2024)


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Created December 1, 1999, Updated February 17, 2017