dorsal/arxiv
View SchemaMeson-loop contributions to the rho-omega mass splitting & rho charge radius
| Authors | M. A. Pichowsky, Sameer Walawalkar, Simon Capstick |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9904079 |
| URL | https://arxiv.org/abs/nucl-th/9904079 |
| DOI | 10.1103/PhysRevD.60.054030 |
| Journal | Phys.Rev. D60 (1999) 054030 |
Abstract
Contributions of two-pseudoscalar and vector-pseudoscalar meson loops to the rho-omega mass splitting are evaluated in a covariant model based on studies of the Schwinger-Dyson equations of QCD. The role and importance of the different time orderings of the meson loops is analyzed and compared with those obtained within time-ordered perturbation theory. It is shown that each meson loop contributes less than 10% of the bare mass, and decreases as the masses of the intermediate mesons increase beyond approximately m_rho/2. A mass splitting of m_omega - m_rho ~= 25 MeV is obtained from the pi pi, K K(bar), omega pi, rho pi, omega eta, rho eta and K* K channels. The model is then used to determine the effect of the two-pion loop on the rho-meson electromagnetic form factor. It is shown that the inclusion of pion loops increases the rho-meson charge radius by 10%.
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"abstract": "Contributions of two-pseudoscalar and vector-pseudoscalar meson loops to the\nrho-omega mass splitting are evaluated in a covariant model based on studies of\nthe Schwinger-Dyson equations of QCD. The role and importance of the different\ntime orderings of the meson loops is analyzed and compared with those obtained\nwithin time-ordered perturbation theory. It is shown that each meson loop\ncontributes less than 10% of the bare mass, and decreases as the masses of the\nintermediate mesons increase beyond approximately m_rho/2. A mass splitting of\nm_omega - m_rho ~= 25 MeV is obtained from the pi pi, K K(bar), omega pi, rho\npi, omega eta, rho eta and K* K channels. The model is then used to determine\nthe effect of the two-pion loop on the rho-meson electromagnetic form factor.\nIt is shown that the inclusion of pion loops increases the rho-meson charge\nradius by 10%.",
"arxiv_id": "nucl-th/9904079",
"authors": [
"M. A. Pichowsky",
"Sameer Walawalkar",
"Simon Capstick"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevD.60.054030",
"journal_ref": "Phys.Rev. D60 (1999) 054030",
"title": "Meson-loop contributions to the rho-omega mass splitting \u0026 rho charge radius",
"url": "https://arxiv.org/abs/nucl-th/9904079"
},
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