Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-07-05
Phys.Rev. D69 (2004) 094513
Physics
High Energy Physics
High Energy Physics - Phenomenology
Tables added, small modifications in the text
Scientific paper
10.1103/PhysRevD.69.094513
We study positive and negative parity nucleons on the lattice using the chirally improved lattice Dirac operator. Our analysis is based on a set of three operators chi_i with the nucleon quantum numbers but in different representations of the chiral group and with different diquark content. We use a variational method to separate ground state and excited states and determine the mixing coefficients for the optimal nucleon operators in terms of the chi_i. We clearly identify the negative parity resonances N(1535) and N(1650) and their masses agree well with experimental data. The mass of the observed excited positive parity state is too high to be interpreted as the Roper state. Our results for the mixing coefficients indicate that chiral symmetry is important for N(1535) and N(1650) states. We confront our data for the mixing coefficients with quark models and provide insights into the physics of the nucleon system and the nature of strong decays.
Broemmel Dirk
Crompton Peter
Gattringer Christof
Glozman Leonid Ya.
Lang Christian B.
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