Difference between revisions of "Elong-15-05-04"
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where <math>\delta(E'-E'_{el})</math> is approximated by a Gaussian distribution with its width determined by the resolution of the spectrometers, | where <math>\delta(E'-E'_{el})</math> is approximated by a Gaussian distribution with its width determined by the resolution of the spectrometers, | ||
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<math> | <math> | ||
\delta(E'-E'_{el}) = \frac{1}{2\Delta E\cdot E'_{el}\sqrt{\pi}}e^{-\frac{(E'-E'_{el})^2}{2(\Delta E\cdot E'_{el})^2}}, | \delta(E'-E'_{el}) = \frac{1}{2\Delta E\cdot E'_{el}\sqrt{\pi}}e^{-\frac{(E'-E'_{el})^2}{2(\Delta E\cdot E'_{el})^2}}, | ||
Revision as of 11:55, 6 May 2015
The deuteron elastic peak was calculated using a parametrization of the deuteron elastic form factors A and B by
<math> \frac{d^2 \sigma}{d\Omega dE'} = \sigma_{\mathrm{Mott}}\left(\frac{E'}{E}\right)\left[ A + B \tan ^2 \left( \frac{\theta}{2} \right) \right] \delta (E'-E'_{el}), </math>
where <math>\delta(E'-E'_{el})</math> is approximated by a Gaussian distribution with its width determined by the resolution of the spectrometers,
<math> \delta(E'-E'_{el}) = \frac{1}{2\Delta E\cdot E'_{el}\sqrt{\pi}}e^{-\frac{(E'-E'_{el})^2}{2(\Delta E\cdot E'_{el})^2}}, </math>
where <math>\Delta E=0.1 ~(0.08)\%</math> for the HMS (SHMS) and <math>E'_{el}=\frac{Q^2}{2m_D}.</math>
Results of the cross section vs. x are shown below for three Q2.
| <math>Q^2 = 0.17</math> (GeV2) | <math>Q^2 = 0.71</math> (GeV2) | <math>Q^2 = 1.50</math> (GeV2) |
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