Curve collapse for the isospin-2 pion scattering length from QCD with 3, 4, and 5 colors

2024/09/03 by DeGrand, Thomas · 2 citations
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat)

paper · doi:10.48550/arxiv.2409.02242

Abstract

I show comparisons of the pion - pion scattering length in the isospin - two channel from simulations of of QCD with N_c = 3, 4 and 5 colors and N_f = 2 flavors of degenerate mass fermions. The scattering length varies as 1/N_c, as expected from large N_c counting arguments.

Cited by

• Universal Features of Chiral Symmetry Breaking in Large-N QCD
• The large-N limit of the topological susceptibility of SU(N) Yang-Mills theories via Parallel Tempering on Boundary Conditions

Related

• QCD Inequalities, Large N_C and ππ Scattering Lengths
• S-wave pion-pion scattering lengths from nucleon-meson fluctuations
• ππ scattering at Large N_c
• Meson-meson scattering lengths at maximum isospin from lattice QCD
• Temperature and volume dependence of pion-pion scattering lengths