Extended van Royen-Weisskopf formalism for lepton-antilepton meson decay widths within non-relativistic quark models

Details Extended van Royen-Weisskopf formalism for lepton-antilepton meson decay widths within non-relativistic quark models Extended van Royen-Weisskopf formalism for lepton-antilepton meson decay widths within non-relativistic quark models

2001-09-27

arxiv.org/abs/nucl-th/0109080v1

Nucl.Phys. A699 (2002) 690-708

Physics

Nuclear Physics

Nuclear Theory

22 pages, 3 figures, RevTex, epsfig. To be published in Nucl. Phys. A

Scientific paper

10.1016/S0375-9474(01)01290-8

The classical van Royen-Weisskopf formula for the decay width of a meson into a lepton-antilepton pair is modified in order to include non-zero quark momentum contributions within the meson as well as relativistic effects. Besides, a phenomenological electromagnetic density for quarks is introduced. The meson wave functions are obtained from two different models: a chiral constituent quark model and a quark potential model including instanton effects. The modified van Royen-Weisskopf formula is found to improve systematically the results for the widths, giving an overall good description of all known decays.

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