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

Conference · Sat Nov 01 00:00:00 EDT 2014 · PoS

OSTI ID:1164255

Mastropas, Ekaterina; Richard, David

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.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP)
• DOE Contract Number: AC05-06OR23177
• OSTI ID: 1164255
• Report Number(s): JLAB-THY-13-1823; arXiv:1311.4858; DOE/OR/23177-2904
• Journal Information: PoS, Vol. LATTICE2013; Conference: Lattice 2013, Mainz, Germany, July 29-August 3, 2013
• Country of Publication: United States
• Language: English