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Efficient computational methods for rovibrational transition rates in molecular collisions.

Taha Selim1, Ad van der Avoird1, Gerrit C Groenenboom1

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Accurate astrophysical modeling requires state-to-state rate coefficients from computationally expensive coupled-channel (CC) calculations. This study introduces the nearest-neighbor Coriolis coupling (NNCC) method, offering a more efficient and accurate alternative for calculating rovibrational transitions in molecular collisions.

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Area of Science:

  • * Computational physics and chemistry
  • * Astrophysical modeling
  • * Molecular collision dynamics

Background:

  • * Astrophysical processes not in local thermal equilibrium necessitate state-to-state rate coefficients for molecular collisions.
  • * Full coupled-channel (CC) quantum scattering calculations provide accurate rate coefficients but are computationally intensive.
  • * Approximate methods are needed to balance accuracy and computational cost.

Purpose of the Study:

  • * To present and evaluate approximate methods for calculating state-to-state rate coefficients.
  • * To investigate the nearest-neighbor Coriolis coupling (NNCC) method as an efficient alternative to CC calculations.
  • * To demonstrate the accuracy and efficiency of NNCC for rovibrational transitions in CO2-He collisions.

Main Methods:

  • * Implementation of approximate methods based on the coupled-states approximation (CSA).
  • * Investigation of the nearest-neighbor Coriolis coupling (NNCC) method, including first-order Coriolis coupling.
  • * Application of the NNCC method combined with the multi-channel distorted-wave Born approximation for computational efficiency.

Main Results:

  • * The NNCC method provides a significant improvement in accuracy over the standard CSA method.
  • * NNCC calculations are substantially more efficient than full CC calculations.
  • * State-to-state cross sections and rate coefficients for rovibrational transitions in CO2-He collisions were accurately reproduced.
  • * Combining NNCC with the multi-channel distorted-wave Born approximation further reduces computational time with minimal loss of accuracy.

Conclusions:

  • * The NNCC method offers a computationally efficient and accurate approach for determining state-to-state rate coefficients.
  • * This method is valuable for astrophysical modeling in non-local thermal equilibrium environments.
  • * The combination of NNCC and multi-channel distorted-wave approximation presents a promising strategy for complex molecular collision calculations.