Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.
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Transcript of Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.
![Page 1: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/1.jpg)
Accessing Orbital Angular Momentum Thru Pion Cloud
Itaru Nakagawa
RIKEN/RBRC
![Page 2: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/2.jpg)
Proton Spin +1/2
€
+1
2+ 0 = +
1
2
€
S + L = J
€
p
![Page 3: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/3.jpg)
Proton Spin +1/2
€
+1
2+ 0 = +
1
2
€
−1
2+ 0
⎛
⎝ ⎜
⎞
⎠ ⎟
€
S + L = J
€
p
![Page 4: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/4.jpg)
Proton Spin +1/2
€
+1
2+ 0 = +
1
2
€
−1
2+ 0
⎛
⎝ ⎜
⎞
⎠ ⎟+ 0 +1( ) =
€
S + L = J
€
p
€
Nπ
P-wave
![Page 5: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/5.jpg)
Proton Spin +1/2
€
+1
2+ 0 = +
1
2
€
−1
2+ 0
⎛
⎝ ⎜
⎞
⎠ ⎟+ 0 +1( ) = +
1
2
€
S + L = J
€
p
€
Nπ
![Page 6: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/6.jpg)
Proton Spin +1/2
€
+1
2+ 0 = +
1
2
€
−1
2+ 0
⎛
⎝ ⎜
⎞
⎠ ⎟+ 0 +1( ) = +
1
2
€
3
2+ 0
⎛
⎝ ⎜
⎞
⎠ ⎟
€
S + L = J
€
p
€
Nπ
![Page 7: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/7.jpg)
Proton Spin +1/2
€
+1
2+ 0 = +
1
2
€
−1
2+ 0
⎛
⎝ ⎜
⎞
⎠ ⎟+ 0 +1( ) = +
1
2
€
3
2+ 0
⎛
⎝ ⎜
⎞
⎠ ⎟+ 0 −1( ) =
€
S + L = J
€
p
€
Nπ
€
Δπ
![Page 8: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/8.jpg)
Proton Spin +1/2
€
+1
2+ 0 = +
1
2
€
−1
2+ 0
⎛
⎝ ⎜
⎞
⎠ ⎟+ 0 +1( ) = +
1
2
€
3
2+ 0
⎛
⎝ ⎜
⎞
⎠ ⎟+ 0 −1( ) = +
1
2
€
S + L = J
€
p
€
Nπ
€
Δπ
P-waveP-wave
![Page 9: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/9.jpg)
Nucleon EM Form Factors
![Page 10: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/10.jpg)
Nucleon EM Form Factors low Q
![Page 11: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/11.jpg)
Nucleon EM Form Factors
phenomenological fit :
“smooth” part
(sum of 2 dipoles)
+ “bump”
(gaussian)
6 parameter fit for each FF
pronounced structure in all FF around Q 0.5 GeV/c pion cloudpion cloud
J.Friedrich & Th. Walcher, EPJA A17, 607 (2003)
![Page 12: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/12.jpg)
Sea Asymmetry from Drell-Yan Processes
Towell et al., Phys.Rev. D64 (2001) 052002
Profounding Example of Pion Cloud
![Page 13: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/13.jpg)
excess
Extra dbar in proton g.s.
Sea Quarks Carry Major Orbital Angular Momentum Component?
€
d
![Page 14: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/14.jpg)
Pion Model Prediction of Orbital Angular Momentum
A.W. Thomas
JLab
![Page 15: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/15.jpg)
Tony Thomas (3)
![Page 16: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/16.jpg)
Tony Thomas (1)
![Page 17: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/17.jpg)
Proton Spin +1/2
€
Z
€
Nπ
€
Δπ
70% 20~25% 5~10%
![Page 18: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/18.jpg)
Tony Thomas (2)
![Page 19: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/19.jpg)
Tony Thomas (4)
![Page 20: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/20.jpg)
Tony Thomas
![Page 21: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/21.jpg)
Tony Thomas(6)
![Page 22: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/22.jpg)
Experiment Sensitive to p-Wave π
€
γ*p→ Δ → π 0p
![Page 23: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/23.jpg)
Angular Distribution
![Page 24: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/24.jpg)
Pion Cloud Model
![Page 25: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/25.jpg)
Atomic Electron Scattering
Virtual pion pickup
Probing Pion Cloud
Need : Q2 ~ 0.2 GeV/c2 Compass
Calculation by T. Horn
+
![Page 26: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/26.jpg)
Summary
• pion cloud is one of the way to access Orbital Angular Momentum
• There are (will be) many experiments which explore pion cloud
• Not good idea yet to be done at J-PARC
![Page 27: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/27.jpg)
Elastic Scattering
![Page 28: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/28.jpg)
Cross Sections
![Page 29: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/29.jpg)
Valence Quark Interchange
![Page 30: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/30.jpg)
Concerns
• So far, q-interchange model is only quantitative level Qualitatively, regge pole)
• Elastic Soft Mechanism
• Elastic No Fragmentation?
• Sensitivity to sea? p
![Page 31: Accessing Orbital Angular Momentum Thru Pion Cloud Itaru Nakagawa RIKEN/RBRC.](https://reader036.fdocuments.us/reader036/viewer/2022062323/5697bfa31a28abf838c96cd5/html5/thumbnails/31.jpg)
Relativistic Valence Quark
rXiv:0709.4067 ハ [hep-ph]