dorsal/arxiv
View SchemaD-state configurations in the electromagnetic form factors of the nucleon and the Delta(1232) resonance
| Authors | B. Julia-Diaz, D. O. Riska |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0411012 |
| URL | https://arxiv.org/abs/nucl-th/0411012 |
| DOI | 10.1016/j.nuclphysa.2005.04.008 |
| Journal | Nucl.Phys. A757 (2005) 441-455 |
Abstract
The $\Delta-N$ electromagnetic transition form factors are calculated in the Poincar\'e covariant quark model in three forms of relativistic kinematics. Addition of $D-$state components to pure $S-$state model wave functions, chosen so as to reproduce the empirical elastic electromagnetic nucleon form factors with single constituent currents, brings the calculated $R_{EM}$ ratio for the $\Delta(1232)\to N\gamma$ transition closer to the empirical values in instant and point form kinematics. The calculated $R_{SM}$ ratio is insensitive to the $D-$state component. In front form kinematics the substantial violation of the angular condition for the spin 3/2 resonance transition amplitude in the impulse approximation prevents a unique determination of $R_{EM}$ and $R_{SM}$, both of which are very sensitive to $D-$state components. In no form of kinematics do $D-$state deformations of the rest frame baryon wave functions alone suffice for a description of the empirical values of these ratios.
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"abstract": "The $\\Delta-N$ electromagnetic transition form factors are calculated in the\nPoincar\\\u0027e covariant quark model in three forms of relativistic kinematics.\nAddition of $D-$state components to pure $S-$state model wave functions, chosen\nso as to reproduce the empirical elastic electromagnetic nucleon form factors\nwith single constituent currents, brings the calculated $R_{EM}$ ratio for the\n$\\Delta(1232)\\to N\\gamma$ transition closer to the empirical values in instant\nand point form kinematics. The calculated $R_{SM}$ ratio is insensitive to the\n$D-$state component. In front form kinematics the substantial violation of the\nangular condition for the spin 3/2 resonance transition amplitude in the\nimpulse approximation prevents a unique determination of $R_{EM}$ and $R_{SM}$,\nboth of which are very sensitive to $D-$state components. In no form of\nkinematics do $D-$state deformations of the rest frame baryon wave functions\nalone suffice for a description of the empirical values of these ratios.",
"arxiv_id": "nucl-th/0411012",
"authors": [
"B. Julia-Diaz",
"D. O. Riska"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.nuclphysa.2005.04.008",
"journal_ref": "Nucl.Phys. A757 (2005) 441-455",
"title": "D-state configurations in the electromagnetic form factors of the nucleon and the Delta(1232) resonance",
"url": "https://arxiv.org/abs/nucl-th/0411012"
},
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