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- W2100631635 abstract "We develop a technique, denoted as the finite radius approximation (FRA), that uses a two-dimensional version of the Shannon-Nyquist sampling theorem to determine transverse densities and their uncertainties from experimental quantities. Uncertainties arising from experimental uncertainties on the form factors and lack of measured data at high $Q^2$ are treated. A key feature of the FRA is that a form factor measured at a given value of $Q^2$ is related to a definite region in coordinate space. An exact relation between the FRA and the use of a Bessel series is derived. The proton Dirac form factor is well enough known such that the transverse charge density is very accurately known except for transverse separations $b$ less than about 0.1 fm. The Pauli form factor is well known to $Q^2$ of about 10 GeV$^2$, and this allows a reasonable, but improvable, determination of the anomalous magnetic moment density." @default.
- W2100631635 created "2016-06-24" @default.
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- W2100631635 date "2011-01-31" @default.
- W2100631635 modified "2023-09-23" @default.
- W2100631635 title "Realistic transverse images of the proton charge and magnetization densities" @default.
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- W2100631635 doi "https://doi.org/10.1103/physrevc.83.015203" @default.
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