Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2009-06-30
Phys.Lett.B679:418-422,2009
Physics
High Energy Physics
High Energy Physics - Lattice
7pp, 4 figures; minor typos corrected and one Ref. added
Scientific paper
10.1016/j.physletb.2009.07.063
We present results for the first positive parity excited state of the nucleon, namely, the Roper resonance ($N^{{{1/2}}^{+}}$=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.
Cais Alan Ó
Kamleh Waseem
Lasscock Ben G.
Leinweber Derek B. .
Mahbub Selim M.
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