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Nucleon excited state wave functions from lattice QCD

Dale S. Roberts, Waseem Kamleh, and Derek B. Leinweber

  • Special Research Centre for the Subatomic Structure of Matter, School of Chemistry and Physics, University of Adelaide, South Australia 5005, Australia

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Phys. Rev. D 89, 074501 – Published 31 March, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.074501

Abstract

We apply the eigenvectors from a variational analysis to successfully extract the three-quark color-singlet wave functions of even-parity excited states of the nucleon. We explore the first four states in the spectrum excited by the standard nucleon interpolating field. We find that the states exhibit a structure qualitatively consistent with a constituent quark model, where the ground, first, second, and third excited states have 0, 1, 2, and 3 nodes in the radial wave function of the d quark about two u quarks at the origin. Moreover, the radial amplitude of the probability distribution is similar to that predicted by constituent quark models. We present a detailed examination of the quark-mass dependence of the probability distributions for these states, searching for a nontrivial role for the multiparticle components mixed in the finite-volume QCD eigenstates. Finally we examine the dependence of the d-quark probability distribution on the positions of the two u quarks. The results are fascinating, with the underlying S-wave orbitals governing the distributions even at rather large u-quark separations.

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Phys. Rev. D 89, 074501– Published 31 March, 2014
  • Received 27 November 2013

© 2014 American Physical Society

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