Nucleon Resonance Structure at Large Q 2 Ralf W. Gothe 25 th Annual - - PowerPoint PPT Presentation

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Nucleon Resonance Structure at Large Q 2 Ralf W. Gothe 25 th Annual Hampton University Graduate Studies Program Jefferson Lab Newport News, June 1-18, 2010 Essentials: Phase Space Cells, Coherence, Form Factors, QCD Knowns: Deep

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1 Ralf W. Gothe PHYS 745G

Essentials:

Phase Space Cells, Coherence, Form Factors, …

QCD Knowns: Deep Inelastic Scattering and Heavy Quark Systems
QCD Unknowns:

Nonperturbative QCD, Mass, Confinement, …

Ralf W. Gothe

25th Annual Hampton University Graduate Studies Program Jefferson Lab Newport News, June 1-18, 2010

Nucleon Resonance Structure at Large Q2

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2 Ralf W. Gothe HUGS 2010

Matter

E=mc2

E=CV/2=1kJ m=E/c2 =1.1.10-11 g

C=80F and V=5kV d=1mm A=9000m2

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Resolution

Momentum Space Volume

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Double Slit Experiment

x z

p x ~ h 

x p ~

x < x  

p slit

x > xslit



. . .

Photons Probes Electrons Neutrons Carbon (60) Balls Incoherent Coherent Photons

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5 Ralf W. Gothe HUGS 2010

Quasi-Elastic Electron Scattering

* N N K1 K2 K P1 P2

Localization ↔ Statistical Motion
Phase Space & Phase Space Cells
Fermi Momentum
Fermi Broadening

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Quasi-Elastic Electron Scattering

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Coherent Electron Scattering

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Form Factors and Charge Density Distribution

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Form Factors and Charge Density Distribution

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Form Factors and Charge Density Distribution

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Form Factors and Charge Radii

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Nucleon Form Factors

magnetic dipole moment of a structureless spin 1/2 particle

Dirac

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Nucleon Form Factors

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Form Factor Scaling

n bonds and n+1 constituents

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Deep Inelastic Scattering

Elastic DIS

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Point-Like Constituents

~ Q-8

PRL 23 (1969) 935

Prog. in Phys.

4 (1982)

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Point-Like Constituents with Spin 1/2

PRL 22 (1969) 156

Callan-Gross relation follows for spin ½ Dirac Particles F1 structure function vanishes for spin-zero particles

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Quark-Hadron Duality Quasi-Elastic Scattering

PRL 16 (1970) 1140, PR D4 (1971) 2901 E.D. Bloom and F.J. Gilman PR D22 (1975) 1884

S. Stein et al.

W = 1.9 GeV E’ = 17.6 GeV  = 2.37 GeV Q2 = 1.72 GeV pF = 0.67 GeV mq = 0.36 GeV mq = Q2/2 rF = 0.79 fm rF = c

*√9/2

pF

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Quark Charges and Momentum Distributions

Isospin Symmetry x.v x.q= x.s/2

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Di-Quarks in Deep Inelastic Scattering

Nucl. Phys.

B371 (1992) 3

= 2/3 = 1/4 Only the u valence quark carries large x in the proton and the only the d valence quark in the neutron.

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Di-Quarks in Deep Inelastic Scattering

Arrington et al. (2009)

Preliminary Bonus (2010) Holt and Roberts, arXiv:1002.4666v3 (2010)

= 1/4 Only the u valence quark carries large x in the proton and the only the d valence quark in the neutron.

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Heavy Quark Systems

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Heavy Quark Systems

Virial Theorem: s = 3/4 c/rmin mc2 = 0.25 for rcc = 0.4fm and s = 3/4 c/rmin mc2 = 0.18 for rbb = 0.2fm

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Dirac Delta Function, Fields, Potentials, and Sources

 0 only for n 2 and r > 0

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Heavy Quark Systems

Bali et al. he-la/0512018

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Heavy Quark Systems

Bali et al. he-la/0512018