Abstract
In this paper we consider a variational problem related to a model for a nucleon interacting with the ω and σ mesons in the atomic nucleus. The model is relativistic, and we study it in a nuclear physics nonrelativistic limit, which is of a very different nature than the nonrelativistic limit in the atomic physics. Ground states are shown to exist for a large class of values for the parameters of the problem, which are determined by the values of some physical constants.
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Communicated by Nader Masmoudi.
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Esteban, M.J., Nodari, S.R. Ground States for a Stationary Mean-Field Model for a Nucleon. Ann. Henri Poincaré 14, 1287–1303 (2013). https://doi.org/10.1007/s00023-012-0211-y
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DOI: https://doi.org/10.1007/s00023-012-0211-y