Four-body calculations of elastic scattering in H–H̄ collisions
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We present a nonadiabatic treatment of the hydrogen-antihydrogen system. The technique used to describe H- H̄ collisions is based on the coupled rearrangement channels method. Within this approach the total, nonadiabatic wave function of the system is divided into two parts: an inner and an outer one. To describe the inner part a set of square-integrable 4-body functions is used. These functions are obtained by a diagonalization of the total Hamiltonian projected on a chosen L 2 subspace, they explicitly contain components of various arrangement channels expressed in terms of corresponding Jacobi coordinates. The outer part of the total wave function reflects its asymptotic character. Our procedure leads to the system of non-local integro-differential equations that are solved iteratively and simultaneously determine both the shape of the outer part of the wave function and the coefficients in the four-body expansion of the inner part. Using this formalism we perform the one-channel calculation of the elastic scattering to obtain the S-matrix and nonadiabatic scattering length.
KeywordsHydrogen-antihydrogen interaction Hydrogen-antihydrogen collisions Nonadiabatic scattering theory
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- 1.The ALPHA Collaboration: Nat. Phys. 7, 558 (2011)Google Scholar
- 3.The ALPHA Collaboration, Charman, A.E.: Nat. Commun. 4, 1785 (2013)Google Scholar
- 10.Armour, E., Chamberlain, C.: Few-Body Syst. 31, 101 (2002)Google Scholar
- 15.Zhao, J., Corless, R.M.: App. Math. Comput. 177, 271 (2006)Google Scholar
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