Thermodynamically-consistent semi-classical ℓ-changing rates

Williams, R. J. R. and Guzmán, F. and Badnell, N. R. and van Hoof, P. A. M. and Chatzikos, M. and Ferland, G. J. (2017) Thermodynamically-consistent semi-classical ℓ-changing rates. Journal of Physics B: Atomic, Molecular and Optical Physics, 50 (11). 115201. ISSN 0953-4075 (https://doi.org/0.1088/1361-6455/aa6f58)

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Abstract

We compare the results of the semi-classical (SC) and quantum- mechanical (QM) formalisms for angular-momentum changing transitions in Rydberg atom collisions given by Vrinceanu et al , with those of the SC formalism using a modified Monte Carlo realization. We find that this revised SC formalism agrees well with the QM results. This provides further evidence that the rates derived from the QM treatment are appropriate to be used when modelling recombination through Rydberg cascades, an important process in understanding the state of material in the early universe. The rates for ∆ ℓ = ± 1 derived from the QM formalism diverge when integrated to sufficiently large impact parameter, b . Further to the empirical limits to the b integration suggested by Pengelly & Seaton, MNRAS 127 , 165 (1964), we suggest that the fundamental issue causing this divergence in the theory is that it does not fully cater for the finite time taken for such distant collisions to complete.

  • Item type:Article
    ID code:61327
    Dates:
    Date
    Event
    11 May 2017
    Published
    25 April 2017
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:21 Jul 2017 15:32
    Last modified:08 Apr 2024 23:31
    URI:https://strathprints.strath.ac.uk/id/eprint/61327
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