We present results for the first positive parity excited state of the nucleon, namely, the Roper resonance (N1/2+=1440 MeV) from a variational analysis technique. The analysis is performed for pion masses as low as 224 MeV in quenched QCD with the FLIC fermion action. A wide variety of smeared-smeared correlation functions are used to construct correlation matrices. This is done in order to find a suitable basis of operators for the variational analysis such that eigenstates of the QCD Hamiltonian may be isolated. A lower lying Roper state is observed that approaches the physical Roper state. To the best of our knowledge, the first time this state has been identified at light quark masses using a variational approach.
@article{arxiv.0906.5433,
title = {Isolating the Roper Resonance in Lattice QCD},
author = {M. S. Mahbub and Alan Ò Cais and Waseem Kamleh and Ben G. Lasscock and Derek B. Leinweber and Anthony G. Williams},
journal= {arXiv preprint arXiv:0906.5433},
year = {2009}
}
Comments
7pp, 4 figures; minor typos corrected and one Ref. added