Quantum Fluctuations in the Bag and Nucleon Observables

Nov, 1981
47 pages
Published in:
  • Nucl.Phys.A 407 (1983) 366-412
  • Published: 1983
Report number:
  • SACLAY-DPh-T/81-76

Citations per year

1983199220012010201801234
Abstract: (Elsevier)
A time-dependent, perturbative formalism is developed to describe the effect of quantum fluctuations of the quark fields inside a hadronic bag on physical observables. This formalism differs from previous ones in that (i) all contributions to second order in the QCD coupling constant are generated systematically and included in the numerical treatment; (ii) the intermediate sums are carried out over a full set of states consistent with parity and SU(2) coupling rules. After removing the logarithmic divergences arising from the intermediate state sums in the 1-body terms and applying a finite renormalization, the second order fluctuation corrections to several proton and neutron observables are computed. The results obtained are significantly different from those obtained in earlier calculations. In no case considered are the calculated corrections able to account for existing discrepancies between empirical values and lowest order hadronic bag results for nucleon observables. The results obtained for the magnetic moments indicate a possible difficulty in the renormalization prescription when applied in the static, non-Lorentz invariant approximation to the bag model.
  • MODEL: BAG
  • GAUGE FIELD THEORY: YANG-MILLS
  • QUANTUM CHROMODYNAMICS: PERTURBATION THEORY
  • COUPLING CONSTANT: (QUARK GLUON)
  • (QUARK GLUON): COUPLING CONSTANT
  • PROPAGATOR
  • FEYNMAN GRAPH
  • RENORMALIZATION
  • P: CHARGE DISTRIBUTION
  • N: CHARGE DISTRIBUTION