The pion electric form factor is computed for several values of momentum-transfer on a quenched 103 × 20 lattice with SU(3) colour at β = 5.9. With small errors and with pionic energies consistent with continuum dispersion, the data is compatible with, although consistently above, the monopole form suggested by vector dominance.
|Number of pages||18|
|Journal||Nuclear Physics B|
|State||Published - May 22 1989|
Bibliographical noteFunding Information:
hmit Q2 = 2m Iql, a fact which will not change qualitatively with a push to higher Thus a simple linear extrapolation of F and Q2 m ~ ~ to ~ is most certamly not correct. Increasing the lattice size wdl make IPl mma smaller, but this should preferably be done m all spaual dIrectxons so that one retains the condition ~ComptonU~=f2qr/<m "" L~, L), L:. In fact, since one of our goals is to apply the analysis to the more interesting baryon sector, where larger hadronic sizes demand the use of a larger lattice, th~s ~s the d~rection m whach our future efforts wdl be concentrated We thank G. Hockney for providing us with a copy of his SU(3) gauge field Monte Carlo code. T.D. would like to thank C. Bernard and A. Sore for invaluable discussions on the topics of sect. 3. W.W. would hke to thank the theory group at SLAC for their hospitality. This work is supported xn part by the Natural Scxences and Engineering Research Council of Canada and m part by the U S. Department of Energy under grant no. DE-FG05-84ER40154. The computing was done on NMFECC's CRAY-2 at Lawrence Llvermore National Laboratory
ASJC Scopus subject areas
- Nuclear and High Energy Physics