dorsal/arxiv
View SchemaPion Loop Contribution to Rho-Omega Mixing and Mass Splitting
| Authors | K. L. Mitchell, P. C. Tandy |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9607025 |
| URL | https://arxiv.org/abs/nucl-th/9607025 |
| DOI | 10.1103/PhysRevC.55.1477 |
| Journal | Phys.Rev.C55:1477-1491,1997 |
Abstract
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 $m_u - m_d$. Dynamical effects associated with confinement and dressing of quarks and the finite size of the produced $\bar{q}q$ meson modes are treated. Parameters of this approach, previously constrained by soft pion physics, are here supplemented in a minimal way to reproduce $m_\omega$ and $g_{\rho\pi\pi}$. Calculations are carried out up to the one pion loop level and the predictions for rho-omega mixing, mass splitting, the rho width and the symmetry breaking omega-pi-pi coupling constant and form factor are presented. The contribution of the direct $\omega \rightarrow \pi\pi$ process relative to the $\omega \rightarrow \rho \rightarrow \pi\pi$ process is discussed within this model.
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"abstract": "We study the self-energy amplitudes for the rho-omega meson system produced\nby an effective field theory model at the quark level characterized by a finite\nrange quark-quark interaction and an isospin breaking bare quark mass\ndifference $m_u - m_d$. Dynamical effects associated with confinement and\ndressing of quarks and the finite size of the produced $\\bar{q}q$ meson modes\nare treated. Parameters of this approach, previously constrained by soft pion\nphysics, are here supplemented in a minimal way to reproduce $m_\\omega$ and\n$g_{\\rho\\pi\\pi}$. Calculations are carried out up to the one pion loop level\nand the predictions for rho-omega mixing, mass splitting, the rho width and the\nsymmetry breaking omega-pi-pi coupling constant and form factor are presented.\nThe contribution of the direct $\\omega \\rightarrow \\pi\\pi$ process relative to\nthe $\\omega \\rightarrow \\rho \\rightarrow \\pi\\pi$ process is discussed within\nthis model.",
"arxiv_id": "nucl-th/9607025",
"authors": [
"K. L. Mitchell",
"P. C. Tandy"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.55.1477",
"journal_ref": "Phys.Rev.C55:1477-1491,1997",
"title": "Pion Loop Contribution to Rho-Omega Mixing and Mass Splitting",
"url": "https://arxiv.org/abs/nucl-th/9607025"
},
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