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The quantum N-body problem and the auxiliary field method

Abstract : Approximate analytical energy formulas for N-body relativistic Hamiltonians with one- and two-body interactions are obtained within the framework of the auxiliary field method. This method has already been proved to be a powerful technique in the case of two-body problems. A general procedure is given and applied to various Hamiltonians of interest, in atomic and hadronic physics in particular. A test of formulas is performed for baryons described as a three-quark system.
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Submitted on : Monday, August 24, 2009 - 8:17:05 AM
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B. Silvestre-Brac, C. Semay, F. Buisseret, F. Brau. The quantum N-body problem and the auxiliary field method. Journal of Mathematical Physics, American Institute of Physics (AIP), 2010, 51, pp.032104. ⟨10.1063/1.3340799⟩. ⟨in2p3-00410682⟩



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