String potential model: Spinless quarks

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Abstract
We propose a generalization of the usual potential model of quark bound states in which the confining flux tube is a dynamical object carrying both angular momentum and energy. The QQ¯-string system with spinless quarks is quantized using an implicit operator technique and the resulting relativistic wave equation is solved. For heavy quarks the usual Schrödinger valence-quark model is recovered. The Regge slope with light quarks agrees with the classical rotating-string result and is significantly larger than that given by the normal potential model. Quark mass variation and the effects of short-range forces are also considered.

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