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      https://www.ias.ac.in/article/fulltext/pram/048/02/0411-0424

    • Keywords

       

      Dynamical resonances; irregular scattering; collinear collisions

    • Abstract

       

      The collinear atom-diatom collision system provides one of the simplest instances of chaotic or irregular scattering. Classically, irregular scattering is manifest in the sensitive dependence of post-collision variables on initial conditions, and quantally, in the appearance of a dense spectrum of dynamical resonances. We examine the influence of kinematic factors on such dynamical resonances in collinear (He, H2+) collisions by computing the transition state spectra for collinear (He, HD+) and (He, DH+) collisions using the time-dependent quantum mechanical approach. The nearest neighbor spacing distributionP(s) and the spectral rigidity Δ3(L) for these resonances suggest that the dynamics is predominantlyirregular for collinear (He, HD+) and predominantlyregular for collinear (He, DH+). These findings are reinforced by a significantly larger “correlation hole” in ensemble averaged survival probability ≪P(t)≫ values for collinear (He, HD+) than for collinear (He,DH+). In addition we have also examined measures of classical chaos through the dependence of the final vibrational action,nf, on the initial vibrational phaseφi of the diatom, and Poincaré surfaces-of-section. They show that (He, HD+) collisions are partly chaotic over the entire energy range (0–2.78 eV) while (He, DH+) collisions, in contrast, are highly regular at collision energies below the classical threshold for reaction. Above the threshold, the scattering remains regular for initial vibrational statesv=0 and 1 of DH+.

    • Author Affiliations

       

      Susanta Mahapatra1 N Sathyamurthy1 Ramakrishna Ramaswamy2

      1. Department of Chemistry, Indian Institute of Technology, Kanpur - 208 016, India
      2. School of Physical Sciences, Jawaharlal Nehru University, New Delhi - 110 067, India
    • Dates

       
  • Pramana – Journal of Physics | News

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