Towers of hybrid mesons

Details Towers of hybrid mesons Towers of hybrid mesons

2008-12-17

arxiv.org/abs/0812.3291v2

Phys.Rev.D79:094020,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

3 figures

Scientific paper

10.1103/PhysRevD.79.094020

A hybrid meson is a quark-antiquark pair in which, contrary to ordinary mesons, the gluon field is in an excited state. In the framework of constituent models, the interaction potential is assumed to be the energy of an excited string. An approximate, but accurate, analytical solution of the Schr\"{o}dinger equation with such a potential is presented. When applied to hybrid charmonia and bottomonia, towers of states are predicted in which the masses are a linear function of a harmonic oscillator band number for the quark-antiquark pair. Such a formula could be a reliable guide for the experimental detection of heavy hybrid mesons.

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