Comparison of lattice Coulomb-gauge wave functions in the quenched approximation and with dynamical fermions

M. W. Hecht, Khalil M. Bitar, T. DeGrand, R. Edwards, Steven Gottlieb, U. M. Heller, A. D. Kennedy, J. B. Kogut, W. Liu, Michael C. Ogilvie, R. L. Renken, Pietro Rossi, D. K. Sinclair, R. L. Sugar, and K. C. Wang
Phys. Rev. D 47, 285 – Published 1 January 1993
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Abstract

We present a comparison of Coulomb-gauge wave functions from 6g2=6.0 quenched simulations with two simulations which include the effects of dynamical fermions: simulations with two flavors of dynamical staggered quarks and valence Wilson quarks at 6g2=5.6 and simulations with two flavors of dynamical Wilson quarks and Wilson valence quarks at 6g2=5.3. The spectroscopy of these systems is essentially identical. Parametrizations of the wave functions are presented which can be used as interpolating fields for spectroscopy calculations. The sizes of particles are calculated using these parametrized wave functions. The resulting sizes are small, approximately half the sizes of the physical states. The charge radius of the neutron, which provides an indication of the asymmetries between the wave functions of up and down quarks, is calculated. Although the size of the nucleon in these simulations is small, the ratio of the charge radius of the neutron to that of the proton is consistent with the physical value. We find no significant differences between the quenched and dynamical simulations.

  • Received 13 August 1992

DOI:https://doi.org/10.1103/PhysRevD.47.285

©1993 American Physical Society

Authors & Affiliations

M. W. Hecht1, Khalil M. Bitar2, T. DeGrand3, R. Edwards2, Steven Gottlieb4, U. M. Heller2, A. D. Kennedy2, J. B. Kogut5, W. Liu6, Michael C. Ogilvie7, R. L. Renken8, Pietro Rossi6, D. K. Sinclair9, R. L. Sugar10, and K. C. Wang11

  • 1National Center for Atmospheric Research, P.O. Box 3000, Boulder, Colorado 80307
  • 2Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306
  • 3University of Colorado, Boulder, Colorado 80309
  • 4Indiana University, Bloomington, Indiana 47405
  • 5University of Illinois, Urbana, Illinois 61801
  • 6Thinking Machines Corporation, Cambridge, Massachusetts 02139
  • 7Washington University, St. Louis, Missouri 63130
  • 8University of Central Florida, Orlando, Florida 32816
  • 9Argonne National Laboratory, Argonne, Illinois 60439
  • 10University of California, Santa Barbara, California 93106
  • 11University of New South Wales, Kensington, NSW 2203, Australia

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Vol. 47, Iss. 1 — 1 January 1993

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