Structure of the Λ(1405) from Hamiltonian effective field theory

Zhan-Wei Liu, Jonathan M. M. Hall, Derek B. Leinweber, Anthony W. Thomas, and Jia-Jun Wu
Phys. Rev. D 95, 014506 – Published 24 January 2017

Abstract

The pole structure of the Λ(1405) is examined by fitting the couplings of an underlying Hamiltonian effective field theory to cross sections of Kp scattering in the infinite-volume limit. Finite-volume spectra are then obtained from the theory, and compared to lattice QCD results for the mass of the Λ(1405). Momentum-dependent, nonseparable potentials motivated by the well-known Weinberg-Tomozawa terms are used, with SU(3) flavor symmetry broken in the couplings and masses. In addition, we examine the effect on the behavior of the spectra from the inclusion of a bare triquarklike isospin-zero basis state. It is found that the cross sections are consistent with the experimental data with two complex poles for the Λ(1405), regardless of whether a bare-baryon basis state is introduced or not. However, it is apparent that the bare baryon is important for describing the results of lattice QCD at high pion masses.

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  • Received 25 July 2016

DOI:https://doi.org/10.1103/PhysRevD.95.014506

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalParticles & FieldsNuclear Physics

Authors & Affiliations

Zhan-Wei Liu1, Jonathan M. M. Hall1, Derek B. Leinweber1, Anthony W. Thomas1,2, and Jia-Jun Wu1

  • 1Centre for the Subatomic Structure of Matter (CSSM), Department of Physics, University of Adelaide, Adelaide SA 5005, Australia
  • 2ARC Centre of Excellence for Particle Physics at the Terascale, Department of Physics, University of Adelaide, Adelaide SA 5005, Australia

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Vol. 95, Iss. 1 — 1 January 2017

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