banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Ultracold O2 + O2 collisions in a magnetic field: On the role of the potential energy surface
Rent this article for


Image of FIG. 1.
FIG. 1.

Internal energies of 17 as functions of magnetic field. In this work, molecules are considered to be initially in their lfs states |ζ a , ζ b 〉 = |3, 3〉. Open and closed symbols indicate critical values of the field for which d and g barriers, respectively, become open for the different outgoing channels. Note also that calculations of Fig. 4 refer to the hfs state |1, 1〉.

Image of FIG. 2.
FIG. 2.

Comparison of the ab initio and Perugia potential matrix elements among the fragment states |3, 3〉 and |3, 1〉 for a magnetic field B = 100 G. The long-range behavior is compared in the inset. Note that orbital angular momentum for the entrance (|3, 3〉) and outgoing (|3, 1〉) channels are 0 and 2, respectively.

Image of FIG. 3.
FIG. 3.

Magnetic-field dependence for collisions of 17 in the initial lfs state |3, 3〉 and translational energy of 1 μK. (a) Elastic cross sections; (b) total inelastic cross sections; and (c) ratio γ between elastic and inelastic (untrapping) cross sections. Blue and red colors correspond to using the ab initio (Ref. 32) and the Perugia (Ref. 26) PESs, respectively.

Image of FIG. 4.
FIG. 4.

Total cross section vs magnetic-field for the hfs state |1, 1〉 at a translational energy of 1 μK and using the ab initio PES. Note that only the elastic channel is open. The result can be compared with Fig. 4 of Ref. 25, corresponding to the Perugia PES.

Image of FIG. 5.
FIG. 5.

Effect of the long-range anisotropy of the ab initio PES: Magnetic-field dependence of elastic and total inelastic cross sections for the lfs state |3, 3〉 at 10 μK. Thick lines joined by filled squares show results using the correct long-range anisotropy (Refs. 32 and 33) while dashed lines joined by open squares correspond to calculations where the long-range anisotropy of the interaction has been switched off.

Image of FIG. 6.
FIG. 6.

Translational energy dependence of the collisional processes for the lfs state |3, 3〉: a comparison between ab initio and Perugia PESs for different values of magnetic field. (a) Elastic cross sections; (b) Total inelastic cross sections; and (c) Elastic-to-inelastic ratio γ.

Image of FIG. 7.
FIG. 7.

Same as Fig. 6 but for different values of magnetic field near the 32 G resonance of the calculations with the ab initio PES.

Image of FIG. 8.
FIG. 8.

Study of the sensitivity of the elastic-to-inelastic ratio γ to the anisotropy of the ab initio PES. All terms of the spherical harmonic expansion are multiplied by β except the isotropic one. The effect is shown for different translational energies and magnetic fields.


Generic image for table
Table I.

Energies (in K) and coefficients [in the basis of Eq. (5)] of the three lowest states of 17 [Eq. (2)] for a magnetic field B = 100 G.

Generic image for table
Table II.

Parameters associated with the long-range behavior of the ab initio and Perugia potentials: isotropic vdW coefficient , scale length (), and energy () of the analytical vdW theory (Ref. 46), and height of the d-wave centrifugal barrier. is the critical magnetic field for which the |3, 3〉 − |3, 1〉 Zeeman splitting becomes larger than the d-wave barrier.


Article metrics loading...


Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Ultracold O2 + O2 collisions in a magnetic field: On the role of the potential energy surface