Spectroscopy of doubly charmed baryons from lattice QCD

M. Padmanath, Robert G. Edwards, Nilmani Mathur, and Michael Peardon (Hadron Spectrum Collaboration)
Phys. Rev. D 91, 094502 – Published 6 May 2015

Abstract

We present the ground and excited state spectra of doubly charmed baryons from lattice QCD with dynamical quark fields. Calculations are performed on anisotropic lattices of size 163×128, with inverse spacing in temporal direction at1=5.67(4)  GeV and with a pion mass of about 390 MeV. A large set of baryonic operators that respect the symmetries of the lattice yet which retain a memory of their continuum analogues are used. These operators transform as irreducible representations of SU(3)F symmetry for flavor, SU(4) symmetry for Dirac spins of quarks and O(3) for spatial symmetry. The distillation method is utilized to generate baryon correlation functions which are analyzed using the variational fitting method to extract excited states. The lattice spectra obtained have baryonic states with well-defined total spins up to 7/2 and the pattern of low-lying states does not support the diquark picture for doubly charmed baryons. On the contrary the calculated spectra are remarkably similar to the expectations from models with an SU(6)×O(3) symmetry. Various spin-dependent energy splittings between the extracted states are also evaluated.

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  • Received 17 February 2015

DOI:https://doi.org/10.1103/PhysRevD.91.094502

© 2015 American Physical Society

Authors & Affiliations

M. Padmanath1,*, Robert G. Edwards2,†, Nilmani Mathur3,‡, and Michael Peardon4,§ (Hadron Spectrum Collaboration)

  • 1Institute of Physics, University of Graz, 8010 Graz, Austria
  • 2Jefferson Laboratory, 12000 Jefferson Avenue, Newport News, Virginia 23606, USA
  • 3Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
  • 4School of Mathematics, Trinity College, Dublin 2, Ireland

  • *padmanath.madanagopalan@uni-graz.at
  • edwards@jlab.org
  • nilmani@theory.tifr.res.in
  • §mjp@maths.tcd.ie

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Vol. 91, Iss. 9 — 1 May 2015

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