Radius of the [rho] meson determined from its decay constant

We present a unified model describing electroweak properties of the [pi] and [rho] mesons. Using a general method of the relativistic parametrization of matrix elements of local operators, adjusted for the nondiagonal in the total angular momentum case, we calculate the [rho]-meson lepton-decay cons...

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Veröffentlicht in:Physical review. D 2016-02, Vol.93 (3)
Hauptverfasser: Krutov, A F, Polezhaev, R G, Troitsky, V E
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Polezhaev, R G
Troitsky, V E
description We present a unified model describing electroweak properties of the [pi] and [rho] mesons. Using a general method of the relativistic parametrization of matrix elements of local operators, adjusted for the nondiagonal in the total angular momentum case, we calculate the [rho]-meson lepton-decay constant [functionof] sub([rho]) using the same parameters of free constituent quarks that have ensured exclusively good results for the [pi] meson previously. The only free parameter, characterizing quark interactions, which include an additional spin-spin contribution and hence differ from the [pi]-meson case, is fixed by matching the decay constant to its experimental value. The mean square charge radius is calculated, (ProQuest: Formulae and/or non-USASCII text omitted). This result confirms, for the [rho]-meson case, the conjecture of equality between electromagnetic and strong radii of hadrons. This conjecture was tested previously for proton, [pi] and K mesons.
doi_str_mv 10.1103/PhysRevD.93.036007
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subjects Charge
Constants
Decomposition
Hadrons
Mathematical models
Mesons
Parametrization
Quarks
title Radius of the [rho] meson determined from its decay constant
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