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- W2165625440 abstract "The $eta -eta^{prime}$ mixing mass term due to the derivative coupling $SU(3)times SU(3)$ symmetry breaking term, produces an additional momentum-dependent pole term for processes with $eta^{prime}$, but is suppressed in the $eta$ amplitude by a factor $m_{eta}^{2}/m_{eta^{prime}}^{2}$. This seems to be the origin of the two-angle description of the pseudo-scalar decay constants used in the literature. In this paper, by diagonalizing both the mixing mass term and the momentum-dependent mixing term, we show that the $eta -eta^{prime}$ system could be described by a meson field renormalization and a new mixing angle $theta$ which differs from the usual mixing angle $theta_{P}$ by a small momentum-dependent mixing $d$ term. This new mixing scheme with exact treatment of the momentum-dependent mixing term, is actually simpler than the perturbation treatment and should be used in any determination of the $eta -eta^{prime}$ mixing angle and the momentum-dependent mixing term. Assuming nonet symmetry for the $eta_{0}$ singlet amplitude, from the sum rules relating $theta$ and $d$ to the measured vector meson radiative decays amplitudes, we obtain consistent solutions with $theta=-(13.99pm 3.1)^{circ}$, $d=0.12pm 0.03$ from $rhotoetagamma$ and $eta^{prime}torhogamma$ decays, for $omega$ , $theta=-(15.47pm 3.1)^{circ}$, $d=0.11pm 0.03$, and for $phi$, $theta=-(12.66pm 2.1)^{circ}$, $d=0.10pm 0.03$. It seems that vector meson radiative decays would favor a small $eta-eta^{prime}$ mixing angle and a small momentum-dependent mixing term." @default.
- W2165625440 created "2016-06-24" @default.
- W2165625440 creator A5038434688 @default.
- W2165625440 date "2015-09-15" @default.
- W2165625440 modified "2023-10-17" @default.
- W2165625440 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mi>η</mml:mi><mml:mo>−</mml:mo><mml:msup><mml:mrow><mml:mi>η</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>mixing" @default.
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- W2165625440 doi "https://doi.org/10.1103/physrevd.92.054021" @default.
- W2165625440 hasPublicationYear "2015" @default.
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