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  • Letter
  • Open Access

Nucleon sigma terms with a variational analysis from Lattice QCD

Lorenzo Barca1,*, Gunnar Bali2,†, and Sara Collins2,‡

  • *Contact author: lorenzo.barca@desy.de
  • †Contact author: gunnar.bali@ur.de
  • ‡Contact author: sara.collins@ur.de
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Phys. Rev. D 111, L031505 – Published 25 February, 2025

DOI: https://doi.org/10.1103/PhysRevD.111.L031505

Abstract

We determine the nucleon-sigma terms from lattice quantum chromodynamics (QCD). We find that the dominant excited state contamination in the nucleon three-point function with a scalar current is due to the transition between the nucleon and a S-wave scattering state of a nucleon and a scalar (sigma) meson. In this proof-of-concept study, we analyze a single Nf=3 ensemble with the unphysically large pion mass Mπ=429  MeV. Excited state contamination is substantially reduced compared to the standard method when employing nucleon-sigma type interpolating operators within a generalized eigenvector analysis.

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Phys. Rev. D 111, L031505– Published 25 February, 2025
  • Received 18 December 2024
  • Accepted 9 January 2025
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