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Related papers: Modelling the Off-Shell Dependence of $\pi^{o}- \e…

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It is pointed out that the meson mixing matrix elements usually considered responsible for the bulk of the observed few-body charge symmetry breaking are naturally $q^2$-dependent in QCD. For $\pi^o-\eta$ mixing, using the usual…

Nuclear Theory · Physics 2009-10-22 Kim Maltman

We extend a recent calculation of the momentum dependence of the $\rho-\omega$ mixing amplitude to the pseudoscalar sector. The $\pi\!-\!\eta$ mixing amplitude is calculated in a hadronic model where the mixing is driven by the…

Nuclear Theory · Physics 2008-11-26 J. Piekarewicz

In this paper, U(3)$_L\times$ U(3)$_R$ chiral theory of mesons is extended to the leading order in quark mass expansion in order to evaluate the $\rho^0-\omega$ mixing. It is shown that the use of path integral method to integrate out the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Dao-Neng Gao , Mu-Lin Yan

The quark-loop contribution to the $\rho^0-\omega$ mixing self-energy function is calculated using a phenomenologically successful QCD-based model field theory in which the $\rho^0$ and $\omega$ mesons are composite $\bar{q}q$ bound states.…

High Energy Physics - Phenomenology · Physics 2010-03-04 K. L. Mitchell , P. C. Tandy , C. D. Roberts , R. T. Cahill

The momemtum dependence of the off-shell $\rho$-$\omega$ mixing amplitude is calculated through a two-quark loop diagram, using non-perturbative meson-quark vertex functions for the $\rho$ and $\omega$ mesons, as well as non-perturbative…

Nuclear Theory · Physics 2008-11-26 A. N. Mitra , K. -C. Yang

The strong and electromagnetic corrections to $\rho-\omega$ mixing are calculated using a SU(2) version of resonance chiral theory up to next-to-leading orders in $1/N_C$ expansion, respectively. Up to our accuracy, the effect of the…

High Energy Physics - Phenomenology · Physics 2017-12-27 Yun-Hua Chen , De-Liang Yao , Han-Qing Zheng

We study the self-energy amplitudes for the rho-omega meson system produced by an effective field theory model at the quark level characterized by a finite range quark-quark interaction and an isospin breaking bare quark mass difference…

Nuclear Theory · Physics 2008-11-26 K. L. Mitchell , P. C. Tandy

We investigate omega-phi meson mixing to leading order in chiral perturbation theory utilizing the antisymmetric tensor field formulation. We update the quark mass ratio R from rho-omega mixing, R = 42 \pm 4.

High Energy Physics - Phenomenology · Physics 2011-07-19 Ayse Kucurkarslan , Ulf-G. Meißner

I review to which extent the properties of pseudoscalar mesons can be understood in terms of the underlying quark (and eventually gluon) structure. Special emphasis is put on the progress in our understanding of eta-eta' mixing.…

High Energy Physics - Phenomenology · Physics 2014-11-17 Thorsten Feldmann

In order to calculate the rho - omega mixing we extend the chiral couplings of the low-lying vector mesons in chiral perturbation theory to a lagrangian that contains two vector fields. We determine the momentum dependence of the two-point…

High Energy Physics - Phenomenology · Physics 2009-10-28 Res Urech

The role of the off-shell dependence of $\rho-\omega$ mixing in the charge symmetry breaking nucleon-nucleon potential is discussed. It is shown that models describing the off-shell dependence of $\rho-\omega$ mixing are not sufficient to…

Nuclear Theory · Physics 2008-11-26 Thomas D. Cohen , Gerald A. Miller

The inclusion of the $\rho-\omega$ mixing effect is essential for a precise description of the pion electromagnetic form factor in the $e^+e^- \rightarrow \pi^+\pi^-$ process, which quantifies the two-pion contribution to the anomalous…

High Energy Physics - Phenomenology · Physics 2023-08-23 Yun-Hua Chen , Meng-Ge Qin

The off-shell electromagnetic vertex of a (pseudo-) scalar particle contains, in general, two form factors F and G which depend, in addition to the squared momentum transfer, on the invariant masses associated with the initial and final…

High Energy Physics - Phenomenology · Physics 2009-09-25 T. E. Rudy , H. W. Fearing , S. Scherer

Charge independence and symmetry are approximate symmetries of nature. The observations of the small symmetry breaking effects and the consequences of those effects are reviewed. The effects of the mass difference between up and down quarks…

Nuclear Theory · Physics 2011-02-01 G. A. Miller

A systematic study of the $\eta$-$\eta'$ mixing in Large-$N_c$ chiral perturbation theory is presented with special emphasis on the role of the next-to-next-to-leading-order contributions in the combined momentum, quark-mass, and $1/N_c$…

High Energy Physics - Phenomenology · Physics 2015-11-09 Patricia Bickert , Pere Masjuan , Stefan Scherer

We discuss $\pi^0$ -$\eta$ mixing and its implication for $\epsilon'/ \epsilon$ to next-to-leading order in the low-energy expansion. The big effect due to $\eta$-$\eta'$ mixing is shown to be largely cancelled by other contributions…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. Ecker , G. Mueller , H. Neufeld , A. Pich

We investigate the isospin symmetry breaking effects within a recently derived Nambu-Jona-Lasinio related model by fitting the measured pseudoscalar meson masses and weak decay couplings $f_\pi$, $f_K$. Our model contains the next to…

High Energy Physics - Phenomenology · Physics 2016-06-29 Alexander A. Osipov , Brigitte Hiller , Alex H. Blin

We study $e^+e^-\to\pi^+\pi^-$ cross section and phase shift of $I=l=1$ $\pi-\pi$ scattering below 1GeV in framework of chiral constituent quark model. The results including all order contribution of the chiral perturbation expansion and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiao-Jun Wang , Mu-Lin Yan

We study the quark-mass dependence of $\omega\to3\pi$ decays, based on a dispersion-theoretical framework. We rely on the quark-mass-dependent scattering phase shift for the pion-pion $P$-wave extracted from unitarized chiral perturbation…

High Energy Physics - Phenomenology · Physics 2018-10-31 Maximilian Dax , Tobias Isken , Bastian Kubis

We apply a quark interchange model to spin-dependent and exotic meson-meson scattering. The model includes the complete set of standard quark model forces, including OGE spin-orbit and tensor and scalar confinement spin-orbit. Scattering…

Nuclear Theory · Physics 2014-11-18 T. Barnes , N. Black , E. S. Swanson
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