Exotic atoms in two dimensions

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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Submitted on : Monday, July 5, 2010 - 11:00:31 AM
Last modification on : Monday, July 5, 2010 - 11:00:31 AM

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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, Institute of Physics: Hybrid Open Access, 2011, 44, pp.275302. <10.1088/1751-8113/44/27/275302>. <in2p3-00497531>

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