Spatially improved operators for excited hadrons on the lattice

Tommy Burch; Christof Gattringer; Leonid Ya. Glozman; Reinhard Kleindl; C. B. Lang; Andreas Schaefer

doi:10.1103/PhysRevD.70.054502

Spatially improved operators for excited hadrons on the lattice

High Energy Physics - Lattice 2009-11-10 v1 High Energy Physics - Phenomenology Nuclear Theory

Authors: Tommy Burch , Christof Gattringer , Leonid Ya. Glozman , Reinhard Kleindl , C. B. Lang , Andreas Schaefer

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Abstract

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.

Keywords

lattice spectroscopy excited hadrons variational method Jacobi smearing baryon meson

Cite

@article{arxiv.hep-lat/0405006,
  title  = {Spatially improved operators for excited hadrons on the lattice},
  author = {Tommy Burch and Christof Gattringer and Leonid Ya. Glozman and Reinhard Kleindl and C. B. Lang and Andreas Schaefer},
  journal= {arXiv preprint arXiv:hep-lat/0405006},
  year   = {2009}
}

Spatially improved operators for excited hadrons on the lattice

Abstract

Keywords

Cite

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