Quantum-Semiclassical Calculation of Transition Probabilities in Antiproton Collisions with Helium Ions

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10684)


We have developed a quantum-semiclassical approach for calculation of transition probabilities in few-dimensional quantum systems. In this approach the problem is reduced to the Schrödinger-like equation for some degrees of freedom which integrated symphoniously with the classical equations describing the remaining part. This approach was successfully applied for treating self-ionization of hydrogen-like ions in magnetic fields, break-up of some halo nuclei and for excitation and stripping of helium ions by protons. Here we present the method application to calculation of ionization and excitation/deexcitation of helium ions by slow antiprotons. The calculated cross sections are important for experimental investigations in antiproton physics. Moreover, the considered case is very perspective as an object for investigation of quantum measurements. Actually, the charge-exchange channel, dominant in collisions with protons, is absent in our case and all possible quantum communication channels are accurately described in our approach.


Classical and quantum probabilities Schrödinger equation Scattering problem Ionization Excitation Transition probabilities Scattering cross sections Discrete-variable representation Splitting-up method Finite differences 



The publication was prepared with the support of the “RUDN University Program 5-100”.


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© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Bogoliubov Laboratory of Theoretical PhysicsJoint Institute for Nuclear ResearchDubnaRussian Federation
  2. 2.Peoples’ Friendship University of Russia (RUDN University)MoscowRussian Federation

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