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- W2896511544 abstract "An alternative method is introduced to solve a simple two-dimensional models describing vibrational excitation and dissociation processes during the electron-molecule collisions. The model works with one electronic and one nuclear degree of freedom. The two-dimensional $R$-matrix can be constructed simultaneously on the electronic and nuclear surfaces using all three forms developed previously for electron-atom and electron-molecule collisions. These are the eigenchannel $R$-matrix form, inversion technique of Nesbet and Robicheaux, and the Wigner-Eisenbud-type form using expansion over the poles of the symmetrized Hamiltonian. The 2D $R$-matrix method is employed to solve a simple model tailored to describe the dissociative recombination and the vibrational excitation of H$_2^+$ cation in the singlet ungerade symmetry $^1Sigma_u$. These results then serve as a (near-exact) benchmark for the following calculation in which the $R$-matrix states are replaced by their Born-Oppenheimer approximations. The accuracy of this approach and its correction with the first-order nonadiabatic couplings are discussed." @default.
- W2896511544 created "2018-10-26" @default.
- W2896511544 creator A5029257292 @default.
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- W2896511544 date "2018-12-11" @default.
- W2896511544 modified "2023-09-23" @default.
- W2896511544 title "Validity of the Born-Oppenheimer approximation in the indirect-dissociative-recombination process" @default.
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- W2896511544 doi "https://doi.org/10.1103/physreva.98.062706" @default.
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