Point-Form and Instant-Form Calculations of

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Institut für Theoretische Physik

Point-Form and Instant-Form Calculations of Electromagnetic Form Factors K. Berger , W. Plessas , and R.F. Wagenbrunn [email protected]

¨ Graz, Universitatsplatz ¨ Institut fur ¨ Theoretische Physik, Universitat 5, A-8010 Graz, Austria

Mini-Workshop Bled: Effective Quark-Quark Interaction Bled, Slovenia, 07.07.–14.07.2003

Institut für Theoretische Physik

Contents of the Talk

K. Berger



Point-Form and Instant-Form Calculations of Electromagnetic Form Factors



Hamiltonians of the CQMs



Covariant Results for Electroweak Nucleon Form Factors



Electromagnetic Baryon Structure: Results from CQMs

Electric Radii and Magnetic Moments of Light and Strange Baryons



Relativistic Quantum Mechanics: operators fulfill Poincaré invariance



Forms of Relativistic Quantum Mechanics (Dirac)



Mass Operator



Bakamjian-Thomas Construction in Point Form



Bakamjian-Thomas Construction in Instant Form



Eigenvalue Problem of Mass Operator



Representation of States in Point Form and Instant Form



Formalism of Relativistic Calculations

Invariant Form Factors





Institut für Theoretische Physik



Contents of the Talk

Spectator Approximation for current operators K. Berger



Point-Form and Instant-Form Calculations of Electromagnetic Form Factors





Quantitative Comparison of Point Form and Instant Form Results for 2-Body System



Institut für Theoretische Physik



Contents of the Talk

Results for Nucleons

Conclusions

K. Berger



Point-Form and Instant-Form Calculations of Electromagnetic Form Factors

GBE Constituent Quark Model



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The quark-quark interaction consists of a linear confinement

'& 45 ;

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 6

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25

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)

and of the spin-spin component of the hyperfine interaction 

The eigenvalue problem for is solved by the stochastic variational method leading to three-quark eigenstates . E



Institut für Theoretische Physik



Three-quark Hamiltonian of the Goldstone-boson-exchange (GBE) CQM [L.Ya. Glozman et al., Phys. Rev. D 58 (1998) 094030]

K. Berger



Point-Form and Instant-Form Calculations of Electromagnetic Form Factors

OGE Constituent Quark Model Three-quark Hamiltonian of the one-gluon-exchange (OGE) CQM:



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