Theta Dependent Components - Revision history

Vanwdani at 15:00, 30 May 2017

2017-05-30T15:00:05Z

Vanwdani at 14:54, 30 May 2017

2017-05-30T14:54:16Z

Vanwdani at 14:41, 30 May 2017

2017-05-30T14:41:39Z

Vanwdani at 14:32, 30 May 2017

2017-05-30T14:32:54Z

Vanwdani at 14:25, 30 May 2017

2017-05-30T14:25:31Z

Vanwdani: Created page with " 400 px '''Figure 3: Definition of Moller electron variables in the CM Frame in the x-z plane.''' Using $\the…"$

2017-05-30T14:11:21Z

Created page with "<center> 400 px</center> <center>'''Figure 3: Definition of Moller electron variables in the CM Frame in the x-z plane.'''</center> <center>Using <math>\the…"

New page

<center>[[File:xz_lab.png | 400 px]]</center>
<center>'''Figure 3: Definition of Moller electron variables in the CM Frame in the x-z plane.'''</center>

<center>Using <math>\theta '_2=\arccos \left(\frac{p^'_{2(z)}}{p^'_{2}}\right)</math></center>

{| class="wikitable" align="center"
| style="background: gray" | <math>\Longrightarrow {p^'_{2(z)}=p^'_{2}\cos(\theta '_2)}</math>
|}

Checking on the sign resulting from the cosine function, we are limited to:

{| class="wikitable" align="center"
| style="background: red" | <math>90^\circ \le \theta '_2 \le 180^\circ \equiv \frac{\pi}{2} \le \theta '_2 \le \pi Radians</math>
|}

Since,
<center><math>\frac{p^'_{2(z)}}{p^'_{2}}=cos(\theta '_2)</math></center>

<center><math>\Longrightarrow p^'_{2(z)}\ should\ always\ be\ negative</math></center>

@@ Line 44: / Line 44: @@
 <center><math>\textbf{\underline{Navigation}}</math>
-[[VanWasshenova_Thesis#Determining_wire-theta_correspondence|<math>\vartriangleleft </math>]]
+[[Determining_Momentum_Components_After_Collision_in_CM_Frame|<math>\vartriangleleft </math>]]
-[[VanWasshenova_Thesis#Determining_wire-theta_correspondence|<math>\triangle </math>]]
+[[VanWasshenova_Thesis#Weighted_Isotropic_Distribution_in_Lab_Frame|<math>\triangle </math>]]
-[[CED_Verification_of_DC_Angle_Theta_and_Wire_Correspondance|<math>\vartriangleright </math>]]
+[[Phi_Dependent_Components|<math>\vartriangleright </math>]]
 </center>

@@ Line 9: / Line 9: @@
+=4.1.3.1  Theta Dependent Components=
 <center>[[File:xz_lab.png | 400 px]]</center>
@@ Line 35: / Line 35: @@
 <center><math>\Longrightarrow p^'_{2(z)}\ should\ always\ be\ negative</math></center>

@@ Line 1: / Line 1: @@
 <center><math>\textbf{\underline{Navigation}}</math>
-[[VanWasshenova_Thesis#Determining_wire-theta_correspondence|<math>\vartriangleleft </math>]]
+[[Determining_Momentum_Components_After_Collision_in_CM_Frame|<math>\vartriangleleft </math>]]
 [[VanWasshenova_Thesis#Weighted_Isotropic_Distribution_in_Lab_Frame|<math>\triangle </math>]]
-[[CED_Verification_of_DC_Angle_Theta_and_Wire_Correspondance|<math>\vartriangleright </math>]]
+[[Phi_Dependent_Components|<math>\vartriangleright </math>]]
 </center>

@@ Line 2: / Line 2: @@
 [[VanWasshenova_Thesis#Determining_wire-theta_correspondence|<math>\vartriangleleft </math>]]
-[[VanWasshenova_Thesis#Determining_wire-theta_correspondence|<math>\triangle </math>]]
+[[VanWasshenova_Thesis#Weighted_Isotropic_Distribution_in_Lab_Frame|<math>\triangle </math>]]
 [[CED_Verification_of_DC_Angle_Theta_and_Wire_Correspondance|<math>\vartriangleright </math>]]