NSF Proposal 2007 AwardNum0653570 - Revision history

Oborn: /* Q$_{weak}$ */

2008-09-20T16:29:50Z

Q$_{weak}$

2008-09-20T16:29:02Z

Q$_{weak}$

2008-05-21T16:10:11Z

Prior and Future use of NSF Funds

2008-05-21T16:09:11Z

2008-05-21T15:58:09Z

2008-05-21T15:41:29Z

New page

[http://www.iac.isu.edu/mediawiki/index.php/2007_Proposal Go Back]

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 The resulting asymmetry becomes:
 \begin{eqnarray}
 A = -{{G_F}\over{4\pi \alpha \sqrt{2}}}[Q^2 Q_W^p + F^p (Q^2 ,\theta )] \rightarrow
--{{G_F}\over{4\pi \alpha \sqrt{2}}}[Q^2 Q_W^p + Q^4 B(Q^2 )],
+-{{G_F}\over{4\pi \alpha \sqrt{2}}}[Q^2 Q_W^p + Q^4 B(Q^2 )]
 \end{eqnarray}
 where $F^p$ is a form factor. Neglecting radiative corrections,

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 The asymmetry may be expressed as
 \begin{eqnarray}
-A ~=~ {{\sigma _+ -\sigma _-}\over{\sigma _+ + \sigma _-}}~=~{{G_F}\over{\sqrt{2}}}{{Q^2}\over{\pi \alpha}}{{1}\over{\sigma _p}}\{ \varepsilon G^{\gamma}_{E}
+<math>
-G^{Z}_{E} + \tau G^{\gamma}_{M} G^{Z}_{M} - {{1}\over{2}}(1-4\sin ^2 \theta _W )\varepsilon ^{\prime}
+A ~\equiv~ {{\sigma _+ -\sigma _-}\over{\sigma _+ + \sigma _-}}~ =~\frac{G_F}{\sqrt{2}}\frac{Q^2}{\pi \alpha}\frac{1}{\sigma _p} \{ \varepsilon G^{\gamma}_{E}G^{Z}_{E} + \tau G^{\gamma}_{M} G^{Z}_{M} - {\frac{1}{2}}(1-4\sin ^2\theta _W )\varepsilon ^{\prime} G^{\gamma}_{M} G^{Z}_{A}\}
-G^{\gamma}_{M} G^{Z}_{A}\}~\cite{ReyaSchilcher74},
+</math>
 \label{eq:PVelasticAsym}
 \end{eqnarray}
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 _W (M_Z )$ as a 10 standard
 deviation effect.
 ==Measuring $d_{\Delta}$ using the PV $N\rightarrow \Delta$ Transition  at Low $Q^2$ ==

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 the Summer of 2007 will be well timed with just three years
 remaining until the Q$_{weak}$ experiment is scheduled to run in
-Hall C at Jefferson Lab.  The Ph.D. student's thesis  would be
+Hall C at Jefferson Lab.  The Ph.D. student's thesis  would
 report on the construction and instrumentation of the detector
 system.  The
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 space to a clean room environment and that future graduate
 students would take on the task of designing and constructing the
 first proto-type drift chamber as part of their thesis project.
 =Facilities=