Spatially improved operators for excited hadrons on the lattice

Details Spatially improved operators for excited hadrons on the lattice Spatially improved operators for excited hadrons on the lattice

2004-05-10

arxiv.org/abs/hep-lat/0405006v1

Phys.Rev. D70 (2004) 054502

Physics

High Energy Physics

High Energy Physics - Lattice

Scientific paper

10.1103/PhysRevD.70.054502

We present a new approach for determining spatially optimized operators that can be used for lattice spectroscopy of excited hadrons. Jacobi smeared quark sources with different widths are combined to construct hadron operators with different spatial wave functions. We use the variational method to determine those linear combinations of operators that have optimal overlap with ground and excited states. The details of the new approach are discussed and we demonstrate the power of the method using examples from quenched baryon and meson spectroscopy. In particular we study the Roper state and rho(1450) and discuss some physical implications of our tests.

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