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Title: Decay constants of the pion and its excitations on the lattice

We present a lattice QCD calculation of the ratios of decay constants of the excited states of the pion, to that of the pion ground state. We use an anisotropic clover fermion action with three flavors of quarks, and study the pion decay constants at three values of the light-quark masses, corresponding to pion masses of 391, 524 and 702 MeV. 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. The strong suppression of the decay constant of the second excited state is consistent with its interpretation as a predominantly hybrid state.
 [1] ;  [2]
  1. College of William and Mary, Williamsburg, VA
  2. Jefferson Lab, Newport News, VA
Publication Date:
OSTI Identifier:
Report Number(s):
JLAB-THY-14-1996; DOE/OR/23177-3502
DOE Contract Number:
Resource Type:
Resource Relation:
Conference: Lattice 2014, 23-28 June, 2014 , Columbia University New York, NY
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