Schematic baryon models, their tight binding description and their microwave realization

Emerson Sadurni (1) , John-Alexander Franco-Villafañe (2) , Ulrich Kuhl (3) , Fabrice Mortessagne (3) , Thomas H. Seligman (2, 4)

1 Instituto de Fisica
2 Instituto de Ciencias Físicas
3 LPMC - Laboratoire de physique de la matière condensée
4 CICC - Centro Internacional de Ciencias

A schematic model for baryon excitations is presented in terms of a symmetric Dirac gyroscope, a relativistic model solvable in closed form, that reduces to a rotor in the non-relativistic limit. The model is then mapped on a nearest neighbour tight binding model. In its simplest one-dimensional form this model yields a finite equidistant spectrum. This is experimentally implemented as a chain of dielectric resonators under conditions where their coupling is evanescent and good agreement with the prediction is achieved.

Mots clés: baryon model; tight-binding model; microwave experiments

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Emerson Sadurni, John-Alexander Franco-Villafañe, Ulrich Kuhl, Fabrice Mortessagne, Thomas H. Seligman. Schematic baryon models, their tight binding description and their microwave realization. New Journal of Physics, 2013, 15, pp.123014. ⟨10.1088/1367-2630/15/12/123014⟩. ⟨hal-00840280⟩