It is shown that a realistic quark model is consistent with current experimental evidence on the magnetic dipole decays of the vector and pseudoscalar mesons. (AIP)

Comment on the Magnetic Dipole Decays of Mesons

Radiative decays of mesons

A phenomenological analysis of radiative $V\to P\gamma$ and $P\to V\gamma$ decays is performed with the purpose of determining the gluonic content of the $\eta$ and $\eta^\prime$ wave functions Our results show that within our model there is no evidence for a gluonium contribution in the $\eta$, $Z_\eta^2=000\pm 012$, or the $\eta^\prime$, $Z_{\eta^\prime}^2=004\pm 009$ In terms of a mixing angle description this corresponds to $\phi_P=(414\pm 13)^\circ$ and $|\phi_{\eta^\prime G}|=(12\pm 13)^\circ$ In addition, the $\eta$-$\eta^\prime$ mixing angle is found to be $\phi_P=(415\pm 12)^\circ$ if we don't allow for a gluonium component

On the gluon content of the eta and eta' mesons

A phenomenological analysis of radiative V → Pγ and P→Vγ decays is performed with the purpose of determining the gluonic content of the η and η' wave functions. Our results show that within our model there is no evidence for a gluonium contribution in the η, Zη2 = 0.00 ± 0.12, or the η', Zη'2 = 0.04 ± 0.09. In terms of a mixing angle description this corresponds to P = (41.4 ± 1.3)° and |η'G| = (12 ± 13)°. In addition, the η-η' mixing angle is found to be P = (41.5 ± 1.2)° if we don't allow for a gluonium component.

https://iopscience.iop.org/article/10.1088/1126-6708/2007/05/006/pdf

On the gluon content of the η and η' mesons

A value for the $\eta$-$\eta^\prime$ mixing angle is extracted from the data on $VP\gamma$ transitions using simple quark-model ideas. The set of data covers {\it all} possible radiative transitions between the pseudoscalar and vector meson nonets. Two main ingredients of the model are the introduction of flavour-dependent overlaps for the various $q\bar{q}$ wave functions and the use of the quark-flavour basis to describe the $\eta$-$\eta^\prime$ system. In this basis the mixing angle is found to be $\phi_P=(37.7\pm 2.4)^\circ$.

Comment on the Magnetic Dipole Decays of Mesons

Citations

Radiative decays of mesons

On the gluon content of the eta and eta' mesons

On the gluon content of the η and η' mesons

Radiative VPgamma transitions and eta-eta' mixing

Radiative VPγ transitions and η–η′ mixing

Related Papers (5)

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Test of the nonrelativistic quark model for elementary particles: radiative decays of vector mesons