Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2006-07-21
Phys.Lett.B642:244-247,2006
Physics
High Energy Physics
High Energy Physics - Lattice
Updated references. Clarified discussion around equations 2 and 3
Scientific paper
10.1016/j.physletb.2006.09.056
We review the theory that predicts that the decay constant of the excited light pseudo-scalar mesons are suppressed in the chiral limit relative to the pion decay constant. We compute the decay constant of the first excited pion ($\pi^\prime$) using unquenched QCD at a fixed lattice spacing with sea quarks of mass as low as a third the mass of the strange quark. The final result is very sensitive to the improvement conditions. We obtain $f_{\pi^\prime} / f_{\pi}$ = 0.078(93) in the chiral limit.
McNeile Craig
Michael Carpentier
UKQCD Collaboration
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