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Exotic atoms in two dimensions
Combescure M., Fayard C., Khare A., Richard J.-M.
Journal of Physics A: Mathematical and Theoretical 44 (2011) 275302 - http://hal.in2p3.fr/in2p3-00497531
Physique/Matière Condensée/Mécanique statistique
Physique/Physique Nucléaire Théorique
Physique/Physique/Physique Atomique
Exotic atoms in two dimensions
M. Combescure1, C. Fayard1, A. Khare, J.-M. Richard1
1 :  IPNL - Institut de Physique Nucléaire de Lyon
CNRS : UMR5822 – IN2P3 – Université Claude Bernard - Lyon I
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.

Articles dans des revues avec comité de lecture
Journal of Physics A: Mathematical and Theoretical
Publisher Institute of Physics: Hybrid Open Access
ISSN 1751-8113 (eISSN : 1751-8121)

pdflatex, 7 pages, 5 figures
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