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Optics and Spectroscopy

Collisions of alkali-metal atoms Cs and Rb in the ground state. Spin exchange cross sections

Victor A. Kartoshkin

Published Sep 1, 2016• 6 citations
Publisher

Abstract

Collisions of alkali-metal atoms 133 Cs and 85 Rb in the ground state are considered in the energy interval of 10 –4 –10 –2 au. Complex cross sections of the spin exchange, which allow one to calculate the processes of polarization transfer and the relaxation times, as well as the magnetic resonance frequency shifts caused by spin exchange Cs–Rb collisions, are obtained.

DOI
10.1134/s0030400x16090101

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Collisions of alkali-metal atoms 133 Cs and 85 Rb in the ground state are considered in the energy interval of 10 –4 –10 –2 au. Complex cross sections of the spin exchange, which allow one to calculate the processes of polarization transfer and the relaxation times, as well as the magnetic resonance frequency shifts caused by spin exchange Cs–Rb collisions, are obtained.
Collisions of alkali-metal atoms in the ground state with the electron spin S = 1/2 are accompanied by exchange of electron coordinates between colliding particles, which leads to polarization transfer between them (i.e., to the well-known phenomenon of spin exchange). In addition, along with the polarization transfer from one partner to another, the magnetic resonance lines of colliding atoms are broadened and shifted in spin-exchange collisions. In particular the last two processes depend on the complex spin-exchange cross section. The real part of the cross section determines the so-called "spin-exchange cross section," which is responsible for the broadening of magnetic resonance lines, while the imaginary part determines the shift cross section, which governs the frequency shift of magnetic resonance. In order to describe the spin-exchange process one have to know complex spin-exchange cross sections. Complex spin-exchange cross sections are calculated on the basis of the data on the singlet (X 1 Σ + ) and triplet (a 3 Σ + ) potentials describing the interaction alkali-metal atoms in the ground state. Collisions of alkali-metal atoms Cs, Rb, K, Na in the ground state are considered in the energy interval of 10 −4 −10 −2 au.
The interaction of alkali K and Rb atoms that reside in the ground state is considered in the range of collision energies E = 10−4 to 10−2 au. The singlet (X 1Σ+) and triplet (a 3Σ+) interaction potentials available in the literature are analyzed and modified. For the KRb dimer in the range of interatomic distances 15–21a 0, we chose analytical representations of the singlet and triplet potentials that more accurately describe the interaction of alkali Rb and K atoms in the ground state. Complex cross sections of the spin exchange are calculated for the first time that permit one to calculate the processes of polarization transfer and relaxation times, as well as shifts in the magnetic resonance frequencies caused by K-Rb spin exchange collisions.
Complex spin-exchange cross sections are calculated on the basis of the data on the singlet (X 1Σ+) and triplet (a 3Σ+) potentials describing the interaction of isotopes of Rb alkali-metal atoms in the ground state. The cross sections calculated in this study are compared with the cross-section data obtained earlier with the model interaction potentials. The cross-section values allow one to calculate the processes of polarization transfer and the relaxation times, as well as the magnetic resonance frequency shifts caused by the Rb‒Rb spin-exchange collisions.