Exotic atoms in two dimensions

M. Combescure 1 C. Fayard 1 A. Khare J.-M. Richard 2
2 Theorie
IPNL - Institut de Physique Nucléaire de Lyon
Abstract : We study the behaviour of energy levels in two dimensions for exotic atoms, i.e., when a long-range attractive potential is supplemented by a short-range interaction, and compare the results with these of the one- and three-dimensional cases. The energy shifts are well reproduces by a Trueman--Deser-like formula delta(E)= A/Log(a/R), where a is the scattering length in the short-range is potential and A the square of the wave function at the origin in the external short-range potential. The interpretation of R is more delicate, as is every formulation of a pseudo-potential in two dimensions.
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M. Combescure, C. Fayard, A. Khare, J.-M. Richard. Exotic atoms in two dimensions. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2011, 44, pp.275302. 〈10.1088/1751-8113/44/27/275302〉. 〈in2p3-00497531〉



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