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Title: Lattice study of the leptonic decay constant of the pion and its excitations

We present a calculation of the decay constant of the pion, and its lowest-lying three excitations, at three values of the pion mass between around 400 and 700 MeV, using anisotropic clover lattices. We use the variational method to determine an optimal interpolating operator for each of the states. We find that the decay constant of the first excitation, and more notably of the second, is suppressed with respect to that of the ground-state pion, but that the suppression shows little dependence on the quark mass.
Publication Date:
OSTI Identifier:
Report Number(s):
JLAB-THY-13-1823; arXiv:1311.4858; DOE/OR/23177-2904
DOE Contract Number:
Resource Type:
Resource Relation:
Journal Name: PoS; Journal Volume: LATTICE2013; Conference: Lattice 2013, Mainz, Germany, July 29-August 3, 2013
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States