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What Makes Strong QCD so Intriguing

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Presentation on theme: "What Makes Strong QCD so Intriguing"— Presentation transcript:

1 What Makes Strong QCD so Intriguing
Ralf W. Gothe Graduate Lecture Series Universidad Michoacana de San Nicolás de Hidalgo Morelia, México, Marcha 12-15, 2018 My talk will be about the electroexcitation of nucleon resonances. This conferences is all about nucleons and baryons. Nathan Isgur has been a strong supporter of a nucleon research program at this laboratory. He formulated the importance of studies of the nucleon in 3 remarks he made at the N*2000 conferences in this auditorium: Essentials: Phase Space Cells, Coherence, Form Factors, … QCD Knowns: Deep Inelastic Scattering and Heavy Quark Systems QCD Unknowns: Nonperturbative QCD, Mass, Confinement, … This work is supported in parts by the National Science Foundation under Grant PHY

2 Essentials from Nuclei to Quarks
Ralf W. Gothe Graduate Lecture Series Universidad Michoacana de San Nicolás de Hidalgo Morelia, México, Marcha 12-15, 2018 My talk will be about the electroexcitation of nucleon resonances. This conferences is all about nucleons and baryons. Nathan Isgur has been a strong supporter of a nucleon research program at this laboratory. He formulated the importance of studies of the nucleon in 3 remarks he made at the N*2000 conferences in this auditorium: Essentials: Phase Space Cells, Coherence, Form Factors, … QCD Knowns: Deep Inelastic Scattering and Heavy Quark Systems QCD Unknowns: Nonperturbative QCD, Mass, Confinement, … This work is supported in parts by the National Science Foundation under Grant PHY

3 E = mc2 Matter E=CV/2= 1 kJ m=E/c2 = 1.1.10-11 g C=80mF and V=5kV
defibrillator E=CV/2= 1 kJ m=E/c2 = g C=80mF and V=5kV d=1mm A=9000m2

4 Resolution Momentum Space Volume No inplane asymmetry

5 Double Slit Experiment
= Photons Dt Wilking, Dz Michelson, Dx Hanbury Brown Twiss

6 Quasi-Elastic Electron Scattering
K1m K2m Km P1m P2m N * N Localization ↔ Statistical Motion Phase Space & Phase Space Cells Fermi Momentum Fermi Broadening

7 Quasi-Elastic Electron Scattering

8 Coherent Electron Scattering

9 Form Factors and Charge Density Distribution

10 Form Factors and Charge Density Distribution

11 Form Factors and Charge Density Distribution

12 Form Factors and Charge Radii

13 Nucleon Form Factors Dirac magnetic dipole moment of a
structureless spin 1/2 particle

14 Nucleon Form Factors 12

15 n bonds and n+1 constituents
Form Factor Scaling n 6n n bonds and n+1 constituents

16 Deep Inelastic Scattering
DIS

17 Point-Like Constituents
~ Q-8 PRL 23 (1969) 935 Prog. in Phys. 4 (1982)

18 Point-Like Constituents with Spin 1/2
PRL 22 (1969) 156 F1 structure function vanishes for spin-zero particles Callan-Gross relation follows for spin ½ Dirac Particles

19 Quasi-Elastic Scattering
Quark-Hadron Duality PRL 16 (1970) 1140, PR D4 (1971) 2901 E.D. Bloom and F.J. Gilman W = 1.9 GeV E’ = 17.6 GeV n = 2.37 GeV Q2 = 1.72 GeV mq = 0.36 GeV mq = Q2/2n pF = 0.67 GeV rF = 0.79 fm DrF = hc *√9p/2 DpF PR D22 (1975) 1884 S. Stein et al.

20 Quark Charges and Momentum Distributions
x.v x.q= x.s/2 Isospin Symmetry For backward scattering: neutrinos couple only to quarks and antineutrinos only to antiquarks, due to angular momentum and helicity conservation.

21 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.

22 Di-Quarks in Deep Inelastic Scattering
Arrington et al. (2009) Bonus, PRL 108, (2012) 1 1/4 Holt and Roberts, arXiv: v3 (2010) = 1/4 Only the u valence quark carries large x in the proton and the only the d valence quark in the neutron.

23 Heavy Quark Systems Alpha_bb = PDG

24 Hydrogen Atom Coulomb Potential
100 B= eV U= eV ah 𝑈𝑝=− 𝑐 𝑟𝑏 𝑇= ∆𝑝2 2𝑚 = ( )2 2𝑚𝑐2𝑟𝑏2 hc <𝑇> =−< 𝑈𝑝 2 >

25 Heavy Quark Systems Virial Theorem:
as= 3/4 hc/rminmc2 = for rcc = 0.4fm and as= 3/4 hc/rminmc2 = for rbb = 0.2fm Alpha_bb = PDG

26 Dirac Delta Function, Fields, Potentials, and Sources
= 0 only for n = -2 and r > 0

27 Heavy Quark Systems Bali et al. he-la/0512018
Infinetly heavy sources, u,d,ubar,dbar sea-quarks with strange quark mass, which shows that the string breaks at 2 times the strange quark mass APS 09GHPCDRoberts.pdf


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