dorsal/arxiv
View SchemaP- and T-violating $\pi N N$ form factor
| Authors | S. Kondratyuk, P. G. Blunden |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0609072 |
| URL | https://arxiv.org/abs/nucl-th/0609072 |
| DOI | 10.1016/j.nuclphysa.2006.12.054 |
| Journal | Nucl.Phys.A785:351-364,2007 |
Abstract
The form factor of the parity and time-reversal violating (PTV) pion-nucleon interaction is calculated from one-loop vertex diagrams. The degrees of freedom included in the effective lagrangian are nucleons, pions, $\eta$, $\rho$ and $\omega$ mesons. We show that by studying the form factor one can constrain the PTV meson-nucleon coupling constants. We evaluate the mean square radius associated with the PTV $\pi N N$ vertex. Using the mean square radius, we estimate the effect of the PTV $\pi N N$ vertex on the neutron electric dipole moment, and find a very small correction. We also extract the renormalisation group $\beta$ function and use it to discuss evolution of the PTV $\pi N N$ coupling constant beyond the hadronic mass scale.
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"abstract": "The form factor of the parity and time-reversal violating (PTV) pion-nucleon\ninteraction is calculated from one-loop vertex diagrams. The degrees of freedom\nincluded in the effective lagrangian are nucleons, pions, $\\eta$, $\\rho$ and\n$\\omega$ mesons. We show that by studying the form factor one can constrain the\nPTV meson-nucleon coupling constants. We evaluate the mean square radius\nassociated with the PTV $\\pi N N$ vertex. Using the mean square radius, we\nestimate the effect of the PTV $\\pi N N$ vertex on the neutron electric dipole\nmoment, and find a very small correction. We also extract the renormalisation\ngroup $\\beta$ function and use it to discuss evolution of the PTV $\\pi N N$\ncoupling constant beyond the hadronic mass scale.",
"arxiv_id": "nucl-th/0609072",
"authors": [
"S. Kondratyuk",
"P. G. Blunden"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1016/j.nuclphysa.2006.12.054",
"journal_ref": "Nucl.Phys.A785:351-364,2007",
"title": "P- and T-violating $\\pi N N$ form factor",
"url": "https://arxiv.org/abs/nucl-th/0609072"
},
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