Sum rules for total hadronic widths of mesons

Details Sum rules for total hadronic widths of mesons Sum rules for total hadronic widths of mesons

2001-10-22

arxiv.org/abs/hep-ph/0110281v1

AIP Conf.Proc. 619 (2002) 653-656

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 4pp, 1 figure. To appear in Proceedings of "Hadron 2001"

Scientific paper

10.1063/1.1482511

Mass sum rules for meson multiplets derived from exotic commutators may be written for complex masses. Then the real parts give the well known mass formulae (GM-O, Schwinger, Ideal) and the imaginary ones give the corresponding sum rules for total hadronic widths. The masses and widths of the meson nonets submit to a definite orders. It thus follows that tables of the meson nonets should include information about masses, widths and the orders as well as the mixing angle. The width sum rule for the nonet complying with Schwinger mass formula may be depicted as a straight line in the $(m,\Gamma)$ plane. It is easily verifiable and satisfied better for high mass nonets.

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