S-Channel - Revision history

Vanwdani at 18:48, 15 May 2018

2018-05-15T18:48:40Z

2017-06-24T15:32:09Z

s Channel

2017-06-24T15:30:25Z

s Channel

2017-06-24T15:29:44Z

s Channel

2017-06-16T01:42:47Z

s Channel

2017-06-16T01:31:43Z

s Channel

2017-06-08T22:46:52Z

s Channel

2017-06-08T22:46:16Z

s Channel

2017-06-08T22:45:44Z

s Channel

2017-06-08T22:40:23Z

s Channel

@@ Line 1: / Line 1: @@
-<center><math>\textbf{\underline{Navigation}}</math>
+<center><math>\underline{\textbf{Navigation}}</math>
 [[Mandelstam_Representation|<math>\vartriangleleft </math>]]
@@ Line 66: / Line 66: @@
-<center><math>\textbf{\underline{Navigation}}</math>
+<center><math>\underline{\textbf{Navigation}}</math>
 [[Mandelstam_Representation|<math>\vartriangleleft </math>]]

@@ Line 25: / Line 25: @@
 This gives,
-<center><math>s \equiv m_1^{2}+2 \mathbf P_1^* \mathbf P_2^*+  m_2^{2}</math></center>
+<center><math>s \equiv m_1^{2}+2 \mathbf P_1^* \mathbf P_2^*+  m_2^{2} \equiv m_1^{'2}+2 \mathbf P_1^{'*} \mathbf P_2^{'*}+  m_2^{'2}</math></center>
@@ Line 32: / Line 32: @@
-<center><math>s \equiv  2m^{2}+2 \mathbf P_1^* \mathbf P_2^*</math></center>
+<center><math>s \equiv  2m^{2}+2 \mathbf P_1^* \mathbf P_2^* \equiv  2m^{2}+2 \mathbf P_1^{'*} \mathbf P_2^{'*}</math></center>
 Using the relationship

← Older revision		Revision as of 15:30, 24 June 2017
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−	<center><math>s \equiv \mathbf P_1^{2}+2 \mathbf P_1^ \mathbf P_2^+ \mathbf P_2^{2} \equiv \mathbf P_1^{'2}+2 \mathbf P_1^{' }\mathbf P_2^{'}+ \mathbf P_2^{'2}</math></center>	+	<center><math>s \equiv \mathbf P_1^{2}+2 \mathbf P_1^ \mathbf P_2^+ \mathbf P_2^{2} \equiv \mathbf P_1^{'2}+2 \mathbf P_1^{' }\mathbf P_2^{'}+ \mathbf P_2^{'2}</math></center>

← Older revision		Revision as of 15:29, 24 June 2017
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−	~~<center><math>s \equiv \left({\mathbf P_1^}+ {\mathbf P_2^{}}\right)^2</math></center>~~

−		+	<center><math>s \equiv \mathbf P_1^{2}+2 \mathbf P_1^ \mathbf P_2^+ \mathbf P_2^{2} \equiv \mathbf P_1^{'2}+2 \mathbf P_1^{' }\mathbf P_2^{'}+ \mathbf P_2^{'2}</math></center>
−	<center><math>s \equiv \mathbf P_1^{2}+2 \mathbf P_1^ \mathbf P_2^+ \mathbf P_2^{2}</math></center>

@@ Line 48: / Line 48: @@
 In the center of mass frame of reference,
-<center><math>E_1^*=E_2^*=\frac{E^*}{2} \quad and \quad \vec p \ _1^*=-\vec p \ _2^*= \vec p \ ^*</math></center>
+<center><math>E_1^*=E_2^* \quad and \quad \vec p \ _1^*=-\vec p \ _2^*</math></center>
-<center><math>s_{CM} \equiv 2m^2+2E^{*2}+2\vec p \ ^{*2} </math></center>
+<center><math>s_{CM} \equiv 2m^2+2E_1^{*2}+2\vec p_1 \ ^{*2} </math></center>
 Using the relativistic energy equation
-<center><math>E^2 \equiv \vec p \ ^2+m^2</math></center>
+<center><math>E^2 \equiv \vec p_1 \ ^2+m^2</math></center>
-<center><math>s_{CM} \equiv 2m^2+2m^2+2\vec p \ ^{*2}+\vec p \ ^{*2})</math></center>
+<center><math>s_{CM} \equiv 2m^2+2m^2+2\vec p_1 \ ^{*2}+\vec p_1 \ ^{*2})</math></center>
-<center><math>s_{CM}=4(m^2+\vec p \ ^{*2})=(2E^*)^{2}</math></center>
+<center><math>s_{CM}=4(m^2+\vec p_1 \ ^{*2})=(2E_1^*)^{2}</math></center>

← Older revision		Revision as of 22:46, 8 June 2017
Line 48:		Line 48:
	In the center of mass frame of reference,		In the center of mass frame of reference,

−	<center><math>E_1^=E_2^ \quad and \quad \vec p \ _1^=-\vec p \ _2^= \vec p \ ^*</math></center>	+	<center><math>E_1^=E_2^=E^* \quad and \quad \vec p \ _1^=-\vec p \ _2^= \vec p \ ^*</math></center>

← Older revision		Revision as of 22:46, 8 June 2017
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−	<center><math>s_{CM}=4(m^2+\vec p \ ^{2})=(2E)^{2}</math></center>	+	<center><math>s_{CM}=4(m^2+\vec p \ ^{2})=(2E^)^{2}</math></center>

← Older revision		Revision as of 22:45, 8 June 2017
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−	<center><math>s_{CM}=4(m^2+\vec p \ ^{*2})</math></center>	+	<center><math>s_{CM}=4(m^2+\vec p \ ^{2})=(2E)^{2}</math></center>

← Older revision		Revision as of 22:40, 8 June 2017
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−	<center><math>s \equiv 2m^2+2(E_1^{2}+\vec p \ ^{2} )</math></center>	+	<center><math>s_{CM} \equiv 2m^2+2(E_1^{2}+\vec p \ ^{2} )</math></center>


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−	<center><math>s \equiv 2m^2+2((m^2+\vec p \ _1^{2})+\vec p \ _1^{2})</math></center>	+	<center><math>s_{CM} \equiv 2m^2+2((m^2+\vec p \ ^{2})+\vec p \ ^{2})</math></center>