Physics
Scientific paper
Jul 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010njph...12g9802d&link_type=abstract
New Journal of Physics, Volume 12, Issue 7, pp. 079802 (2010).
Physics
Scientific paper
We discovered a sign error in the transformation of the scattering wave function between the atomic basis (equation (6)) and the molecular basis (equation (7)) that we used in our paper [1] for the case mF = 5 for the following atomic state:
| f1 = 2, mf1 = 2, f2 = 3, mf2 = 3 rang =
+ √7/16 |S = 0, mS = 0, I = 5, mI = 5 rang
+ √7/16 |S = 1, mS = 0, I = 5, mI = 5 rang
- √3/80 |S = 1, mS = 1, I = 4, mI = 4 rang
- √7/80 |S = 1, mS = 1, I = 5, mI = 4 rang
Consequently, the results given in the right column of figure 5 in this paper are wrong, while those in the left column are correct. The corrected figure is now displayed as figure 5 below. In particular, the triplet part of the wave function no longer influences the singlet part (see the upper panel of the right column). This also affects figures 6 and 7 of [1]. The black trace of the upper part of figure 6 is incorrect, and also the results of figure 7.
The main consequence concerns the interpretation of the experimental results reported in figure 8 of [1]. The magnitude and modulation of the photoassociation (PA) rate observed in the experiment can be interpreted only if the triplet component of the scattering wave function is involved, as was discussed in the paper. However, the model employed in [1] cannot reproduce these results.
The role of the triplet component of the scattering wave function can be invoked in the PA towards the B1Π levels by considering the small spin-orbit coupling of the B1Π state with the neighboring triplet states (see figure 4 of [1]), while the modulations of the PA rate may be influenced by a slight variation of the scattering length of the lowest a3Σ+ state. These issues will be considered in a future paper.
Figure 5 Figure 5. Components of the energy-normalized radial wave function for a Li-Cs pair colliding at 500 μK, in the atomic basis (left column) and in the molecular basis (right column). The displayed case corresponds to mf1 + mf2 = 5. Under the given experimental conditions, the uppermost atomic state f1 = 2, mf1 = 2, f2 = 3, mf2 = 3 is the only open entrance channel; the three other states shown are closed channels. Note that there is no line-to-line relation between the states listed in each column.
We would like to thank Professor E Tiemann for bringing this sign error to our attention. References
[1] Deiglmayr J, Pellegrini P, Grochola A, Repp M, Côté R, Dulieu O, Wester R and Weidemüller M 2009 Influence of a Feshbach resonance on the photoassociation of LiCs New J. Phys. 11 055034
Cote Raphael
Deiglmayr Johannes
Dulieu Olivier
Grochola A.
Pellegrini Paulo
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