By Pierre van Baal
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Extra resources for Confinement, Duality, and Non-Perturbative Aspects of QCD (NATO Science Series: B:)
However in the real world we expect the tensors to have narrower decay widths than the scalars because their decays into light pseudoscalars require non-zero angular momentum and corresponding near-threshold suppression factors. Thus they should be easier to identify experimentally - and that is their interest for us here. Experimentally we find the following lightest tensor states20. There is an isoscalar with width, , a second isoscalar , an isovector and a strange isodoublet The first isoscalar decays mainly into pions while the second decays mainly into strange mesons.
So we drop the mass corresponding to the largest value of a and try again. We keep doing this until we get a good fit. ) Such lattice spacings are small enough that we are not surprised that higher order terms in should be small. We show the mass ratios in Fig. 1 together with the best fit of the form in eq. (2). We obtain the continuum mass ratio: The fit is obviously a very good one (with a confidence level of 85%) and it is clear that the calculations of the different groups are entirely consistent with each other.
Kenway (UKQCD Collaboration), Nucl. Phys. B (Proc. ) 53 (1997) 206. 25. A. Rowland, Nucl. Phys. B (Proc. Suppl,) 53 (1997) 308. 26. M. Lüscher et al. (Alpha Collaboration), DESY preprint 96-222, hep-lat/9611015. 27. M. Lüscher et al. (Alpha Collaboration), Nucl. Phys. B491 (1997) 323. 28. S. Sint and P. Weisz, FSU preprint FSU-SCRI-97-24, hep-lat/9704001. 29. J. Gasser and H. Leutwyler, Phys. Rep. C87 (1982) 108. 40 30. 31. 32. 33. 34. 35. 36. S. Aoki and A. Gocksch, Phys. Rev. D45 (1992) 3845.
Confinement, Duality, and Non-Perturbative Aspects of QCD (NATO Science Series: B:) by Pierre van Baal