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

Thomas DeGrand

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

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arxiv 2409.02242 v1 pith:QX7QA6EA submitted 2024-09-03 hep-lat

Thomas DeGrand This is my paper · ORCID

classification hep-lat

keywords lengthpionscatteringcolorsargumentschannelcollapsecomparisons

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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.

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Results on meson-meson scattering at large $N_\text{c}$
hep-lat 2025-01 conditional novelty 7.0 of 10

Using lattice QCD with 3 to 6 colors and four quark flavors, the paper measures pion-pion scattering phase shifts and finds evidence consistent with a virtual bound state in one channel at three colors.

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