A two-dimensional model of the resonant electron-molecule collision processes with one nuclear and one

electronic degree of freedom introduced by K. Houfek, T. N. Rescigno, and C. W. McCurdy [Phys. Rev. A

73, 032721 (2006)] is reformulated within the time-dependent framework and solved numerically using the

finite-element method with the discrete variable representation basis, the exterior complex scaling method, and

the generalized Crank-Nicolson method. On this model we illustrate how the time-dependent calculations can

provide deep insight into the origin of oscillatory structures in the vibrational excitation cross sections if one

evaluates the cross sections not only at sufficiently large time to obtain the final cross sections, but also at

several characteristic times which are given by the evolution of the system. It is shown that all details of these

structures, especially asymmetrical peaks, can be understood as quantum interference of several experimentally

indistinguishable processes separated in time due to a resonant capture of the electron and the subsequent

vibrational motion of the negative molecular ion. Numerical results are presented for the N2-like, NO-like, and

F2-like models and compared with ones obtained within the time-independent approach and within the local

complex potential approximation.

electronic degree of freedom introduced by K. Houfek, T. N. Rescigno, and C. W. McCurdy [Phys. Rev. A

73, 032721 (2006)] is reformulated within the time-dependent framework and solved numerically using the

finite-element method with the discrete variable representation basis, the exterior complex scaling method, and

the generalized Crank-Nicolson method. On this model we illustrate how the time-dependent calculations can

provide deep insight into the origin of oscillatory structures in the vibrational excitation cross sections if one

evaluates the cross sections not only at sufficiently large time to obtain the final cross sections, but also at

several characteristic times which are given by the evolution of the system. It is shown that all details of these

structures, especially asymmetrical peaks, can be understood as quantum interference of several experimentally

indistinguishable processes separated in time due to a resonant capture of the electron and the subsequent

vibrational motion of the negative molecular ion. Numerical results are presented for the N2-like, NO-like, and

F2-like models and compared with ones obtained within the time-independent approach and within the local

complex potential approximation.

typ: | article |
---|---|

journal: | Physical Review A |

volume: | 95 |

pages: | 022714 |

year: | 2017 |