Nonadiabatically Coupled Hyperspherical Equations Applied to the Collisional Spin Flip of Muonic Hydrogen |
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Authors: | Akinori Igarashi Mark P Faifman Isao Shimamura |
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Institution: | 1. Faculty of Engineering, Miyazaki University, Miyazaki, 889-2192, Japan 2. Kurchatov Institute, Russian Research Center, Moscow, 123182, Russia 3. Institute of Physical and Chemical Research (RIKEN), Wako, Saitama, 351-0198, Japan
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Abstract: | Nonadiabatically coupled equations in terms of hyperspherical coordinates are solved for the elastic and hyperfine transitions F→F′ of muonic hydrogen isotopes pμ, dμ, and tμ in collisions pμ(F)+p→p+μp(F′), dμ(F)+d→d+μd(F′), and tμ(F)+t→t+μt(F′), as an extension of our previous work on pμ Igarashi et al., Phys. Rev. A 58 (1998), 1166]. Converged cross sections are obtained for collision energies 10?3 to 102 eV and for the total orbital angular momentum L=0 and 1 including the spin–spin interactions V S explicitly in the Hamiltonian, and for L≥2 neglecting V S because of the large interparticle separations. The inclusion of V S for L=0 and 1 reproduces the correct hyperfine-splitting energy Δ∈ in the separated-atom limit, and is found to be of vital importance for the calculation of the spin-flip cross sections for collision energies lower than Δ∈. |
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