dorsal/arxiv
View SchemaPseudovector components of the pion, pi^0 -> gamma gamma, and F_pi(q^2)
| Authors | Pieter Maris, Craig D. Roberts |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9804062 |
| URL | https://arxiv.org/abs/nucl-th/9804062 |
| DOI | 10.1103/PhysRevC.58.3659 |
| Journal | Phys.Rev.C58:3659-3665,1998 |
Abstract
As a consequence of dynamical chiral symmetry breaking the pion Bethe-Salpeter amplitude necessarily contains terms proportional to gamma_5 gamma.P and gamma_5 gamma.k, where k is the relative and P the total momentum of the constituents. These terms are essential for the preservation of low energy theorems, such as the Gell-Mann--Oakes-Renner relation and those describing anomalous decays of the pion, and to obtaining an electromagnetic pion form factor that falls as 1/q^2 for large q^2, up to calculable ln(q^2)-corrections. In a simple model, which correlates low- and high-energy pion observables, we find q^2 F_pi(q^2) ~ 0.12 - 0.19 GeV^2 for q^2 >~10 GeV^2.
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"abstract": "As a consequence of dynamical chiral symmetry breaking the pion\nBethe-Salpeter amplitude necessarily contains terms proportional to gamma_5\ngamma.P and gamma_5 gamma.k, where k is the relative and P the total momentum\nof the constituents. These terms are essential for the preservation of low\nenergy theorems, such as the Gell-Mann--Oakes-Renner relation and those\ndescribing anomalous decays of the pion, and to obtaining an electromagnetic\npion form factor that falls as 1/q^2 for large q^2, up to calculable\nln(q^2)-corrections. In a simple model, which correlates low- and high-energy\npion observables, we find q^2 F_pi(q^2) ~ 0.12 - 0.19 GeV^2 for q^2 \u003e~10 GeV^2.",
"arxiv_id": "nucl-th/9804062",
"authors": [
"Pieter Maris",
"Craig D. Roberts"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.58.3659",
"journal_ref": "Phys.Rev.C58:3659-3665,1998",
"title": "Pseudovector components of the pion, pi^0 -\u003e gamma gamma, and F_pi(q^2)",
"url": "https://arxiv.org/abs/nucl-th/9804062"
},
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