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Stability of quark-antiquark models of mesons: A study on the validity of the spectator, Dirac, and Salpeter equations
Uzzo, Michael
Uzzo, Michael
Abstract
Mesons are made of quark-antiquark pairs held together by the strong force. The one channel spectator, Dirac, and Salpeter equations can each be used to model this pairing. We look at cases where the relativistic kernel of these equations corresponds to a linear combination of scalar exchange and vector exchange. The vector exchange will be either the time-like component or the full four vector. The systems covered here are referred to as quasirelativistic, which means retardation, regularization, and form factors are not included. Since the model used in this paper describes mesons which cannot decay physically, the equations must describe stable states. We find that this requirement is not always satisfied, and give a complete discussion of the conditions under which the various equations give unphysical, unstable solutions.
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1998
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9936908.pdf
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Physics
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https://dx.doi.org/doi:10.21220/s2-jkcm-a386