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The Nuclear Yukawa Model on a Lattice

Abstract : We present the results of the quantum field theory approach to nuclear Yukawa model obtained by standard lattice techniques. We have considered the simplest case of two identical fermions interacting via a scalar meson exchange. Calculations have been performed using Wilson fermions in the quenched approximation. We found the existence of a critical coupling constant above which the model cannot be numerically solved. The range of the accessible coupling constants is below the threshold value for producing two-body bound states. Two-body scattering lengths have been obtained and compared to the non relativistic results.
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http://hal.in2p3.fr/in2p3-00585181
Contributor : Emmanuelle Vernay <>
Submitted on : Tuesday, April 12, 2011 - 8:34:09 AM
Last modification on : Monday, July 20, 2020 - 9:18:28 AM

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F. de Soto, Jean-Christian Anglès d'Auriac, J. Carbonell. The Nuclear Yukawa Model on a Lattice. European Physical Journal A, EDP Sciences, 2011, 47, pp.57. ⟨10.1140/epja/i2011-11057-8⟩. ⟨in2p3-00585181⟩

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