EPJ Web Conf.
Volume 125, 201619th International Seminar on High Energy Physics (QUARKS-2016)
|Number of page(s)||6|
|Section||4. Quantum Chromodynamics and strong interactions|
|Published online||28 October 2016|
Linear radial Regge trajectories for mesons with any quark flavor
Saint Petersburg State University, 7/9 Universitetskaya nab., St.Petersburg, 199034, Russia
Published online: 28 October 2016
In the Regge phenomenology, the radial spectrum of light mesons is given by a linear relation M2n = a(n + b), where a is a universal slope, the dimensionless intercept b depends on quantum numbers, and n enumerates the excited states in radial recurrences. The usual extensions of this relation to heavy quarkonia in the framework of hadron string models typically lead to strong nonlinearities which seem to be at variance with the available experimental data. Introducing a radially static string picture of mesons, we put forward a linear generalization (Mn − m1 − m2)2 = a(n + b), where m1,2 are quark masses. The vector channel contains enough experimental states to check this new relation and a good agreement is observed. It is shown that this generalization leads to a simple estimate of current quark masses from the radial spectra.
© The Authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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