TF 01092012 Colloq - Revision history

Foretony: /* A measurement of d-Delta */

2012-01-09T21:10:39Z

A measurement of d-Delta

Foretony: /* A measurement of d-Delta */

2012-01-09T21:10:15Z

A measurement of d-Delta

Foretony: /* A measurement of d-Delta */

2012-01-09T21:07:40Z

A measurement of d-Delta

Foretony: /* The Delta Resonance */

2012-01-09T06:19:58Z

The Delta Resonance

Foretony at 06:01, 9 January 2012

2012-01-09T06:01:22Z

Foretony: /* Double Spin Asymmetry */

2012-01-09T05:21:10Z

Double Spin Asymmetry

Foretony: /* Double Spin Asymmetry */

2012-01-09T05:19:23Z

Double Spin Asymmetry

Foretony: /* The Delta Resonance */

2012-01-09T04:59:51Z

The Delta Resonance

Foretony: /* Inclusive Missing mass W**2 */

2012-01-07T21:04:39Z

Inclusive Missing mass W**2

Foretony: /* Quark Distributions */

2012-01-07T20:39:18Z

Quark Distributions

@@ Line 282: / Line 282: @@
 <math> \Delta^{\pi}_{(1)}</math><math> \Delta^{\pi}_{(2)}</math><math> \Delta^{\pi}_{(3)}=2(1-4 \sin^2(\theta_W))(1+R^{\Delta}_A)F(Q,s)</math>
-<math>R^{\Delta}_A)</math>= electroweak radiative correction
+<math>R^{\Delta}_A</math>= electroweak radiative correction
 <math>F(Q,s)</math> = axial form factor

@@ Line 280: / Line 280: @@
 <math>A_{LR} = - \frac{G_F}{\sqrt{2}} \frac{Q^2}{4 \pi \alpha} \left [ \Delta^{\pi}_{(1)} + \Delta^{\pi}_{(2)} + \Delta^{\pi}_{(3)}\right ]</math>
-<math> \Delta^{\pi}_{(1)}</math><math> \Delta^{\pi}_{(2)}</math><math> \Delta^{\pi}_{(3)}</math>
+<math> \Delta^{\pi}_{(1)}</math><math> \Delta^{\pi}_{(2)}</math><math> \Delta^{\pi}_{(3)}=2(1-4 \sin^2(\theta_W))(1+R^{\Delta}_A)F(Q,s)</math>
 [[File:AdeltaStatErr_Qweak_08312011.png | 200 px]]

← Older revision		Revision as of 21:07, 9 January 2012
Line 277:		Line 277:
	The figure below shows the statistical precision which can be achieved for a measurement of the low energy constant known as d_{Delta} using the current Qweak data set from Run I. The figure shows the expected inelastic PV asymmetry for several values of d_{Delta} as a function of Q^2. The low energy constant d_{Delta} characterizes the parity violating electric dipole matrix element for the <math>\gamma N \Delta</math> transition accessible by inelastic parity violation measurements on the proton. The application of Siegert's theorem at the photon point, (Q^2=0), results in the Q^2 independence of the transition amplitudes leading term. The statistical precision of a 1 week long measurement, predicted using the current data set, is shown in the figure as well. In addition to measuring a fundamental low energy constant, the results may also have implications to hyperon decay physics as d_{Delta} impacts the asymmetry parameter in radiative hyperon decay physics such as the <math>\Sigma^+ \rightarrow p \gamma</math> decay.		The figure below shows the statistical precision which can be achieved for a measurement of the low energy constant known as d_{Delta} using the current Qweak data set from Run I. The figure shows the expected inelastic PV asymmetry for several values of d_{Delta} as a function of Q^2. The low energy constant d_{Delta} characterizes the parity violating electric dipole matrix element for the <math>\gamma N \Delta</math> transition accessible by inelastic parity violation measurements on the proton. The application of Siegert's theorem at the photon point, (Q^2=0), results in the Q^2 independence of the transition amplitudes leading term. The statistical precision of a 1 week long measurement, predicted using the current data set, is shown in the figure as well. In addition to measuring a fundamental low energy constant, the results may also have implications to hyperon decay physics as d_{Delta} impacts the asymmetry parameter in radiative hyperon decay physics such as the <math>\Sigma^+ \rightarrow p \gamma</math> decay.

		+
		+	<math>A_{LR} = - \frac{G_F}{\sqrt{2}} \frac{Q^2}{4 \pi \alpha} \left [ \Delta^{\pi}_{(1)} + \Delta^{\pi}_{(2)} + \Delta^{\pi}_{(3)}\right ]</math>
		+
		+	<math> \Delta^{\pi}_{(1)}</math><math> \Delta^{\pi}_{(2)}</math><math> \Delta^{\pi}_{(3)}</math>

	[[File:AdeltaStatErr_Qweak_08312011.png \| 200 px]]		[[File:AdeltaStatErr_Qweak_08312011.png \| 200 px]]

← Older revision		Revision as of 06:19, 9 January 2012
Line 73:		Line 73:

	:<math>V_{\mu}^3 =</math> Vector current of the virtual photon exchange		:<math>V_{\mu}^3 =</math> Vector current of the virtual photon exchange
		+
		+	[[File:01092012_epnipiTrack.png\| 200 px]][[File:Cal01092012_epnipiCal.png\| 200 px]]

	==Double Spin Asymmetry==		==Double Spin Asymmetry==

← Older revision		Revision as of 06:01, 9 January 2012
Line 1:		Line 1:
	Title: Inelastic Physics Asymmetries		Title: Inelastic Physics Asymmetries

		+	[[Media:01092012_TF_colloq.ppt]]

	=Abstract=		=Abstract=

← Older revision		Revision as of 05:21, 9 January 2012
Line 79:		Line 79:

	Let		Let
−	<math>\sigma_{1/2} </math>	+	<math>\sigma_{3/2} </math>

← Older revision		Revision as of 05:19, 9 January 2012
Line 79:		Line 79:

	Let		Let
		+	<math>\sigma_{1/2} </math>
		+

	:<math>\sigma_{1/2} \equiv</math> photon helicity is anti-parallel to the target spin		:<math>\sigma_{1/2} \equiv</math> photon helicity is anti-parallel to the target spin

@@ Line 71: / Line 71: @@
 <math>\sigma = <\Delta^+ | V_{\mu}^3| p></math>
-:<math>V_{\mu}^3| =</math> Vector current of the virtual photon exchange
+:<math>V_{\mu}^3 =</math> Vector current of the virtual photon exchange
 ==Double Spin Asymmetry==

← Older revision		Revision as of 21:04, 7 January 2012
Line 57:		Line 57:
	<math>E_X^2 - P_X^2 \equiv W^2 = (E_i^2 - k_i^2) + (E_f^2-k_f^2) + M_p^2 + 2M_p(E_i - E_f) -2(E_iE_f-\vec{k_i}\cdot \vec{k_f})</math>		<math>E_X^2 - P_X^2 \equiv W^2 = (E_i^2 - k_i^2) + (E_f^2-k_f^2) + M_p^2 + 2M_p(E_i - E_f) -2(E_iE_f-\vec{k_i}\cdot \vec{k_f})</math>

−	:<math>W^2=M_p^2 + 2M_p(E_i-E_f) -Q^2 \equiv </math>~~Invarian~~ Missing Mass = mass of the intermediate state that was created.	+	:<math>W^2=M_p^2 + 2M_p(E_i-E_f) -Q^2 \equiv </math>Invariant Missing Mass = mass of the intermediate state that was created.

← Older revision		Revision as of 20:39, 7 January 2012
Line 120:		Line 120:

	===Quark Distributions===		===Quark Distributions===
−
−
−	~~{\|border="5"~~
−	~~![[File:TF_SigmaOneHalf_2012.png \| 200 px]] \|\| [[File:TF_Sigma3Half.png \| 200 px]]~~
−	\|-
−	~~\|<math>\sigma_{\frac{1}{2}}</math>(Struck quark spin is <math>\parallel</math> to Nucleon spin) \|\|<math>\sigma_{\frac{3}{2}}</math> (Struck quark spin is <math>\not\parallel</math> to Nucleon spin)~~
−	~~\|}<br>~~
−


Line 139:		Line 131:

	The polarized distributions may be expressed in a similar fashion:		The polarized distributions may be expressed in a similar fashion:
		+
		+
		+
		+	{\|border="5"
		+	![[File:TF_SigmaOneHalf_2012.png \| 200 px]] \|\| [[File:TF_Sigma3Half.png \| 200 px]]
		+	\|-
		+	\|<math>\sigma_{\frac{1}{2}}</math>(Struck quark spin is <math>\parallel</math> to Nucleon spin) \|\|<math>\sigma_{\frac{3}{2}}</math> (Struck quark spin is <math>\not\parallel</math> to Nucleon spin)
		+	\|}<br>