Isospin breaking splits threshold cusps in ΛN-ΣN scattering into constrained structures whose relative sharpness or type can change, as shown via K-matrix classification and N²LO chiral EFT calculations.
Virtual photons in SU(2) chiral perturbation theory and electromagnetic corrections to $\pi\pi$ scattering
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abstract
We construct the generating functional of two flavor chiral perturbation theory including the effects of virtual photons in the one loop approximation. As an application, we calculate the electromagnetic corrections to the elastic $\pi\pi$ scattering amplitude, in particular to its S--wave threshold parameters. Numerical estimates are given for the reaction $\pi^0 \pi^0 \to \pi^0 \pi^0$. These electromagnetic effects are found to be smaller than the hadronic two-loop corrections for the scattering length $a_0$. The effective range $b_0$ increases by 36% due to the unitary cusp.
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Isospin-breaking effects on the threshold cusp structures in $\Lambda N$-$\Sigma N$ scattering
Isospin breaking splits threshold cusps in ΛN-ΣN scattering into constrained structures whose relative sharpness or type can change, as shown via K-matrix classification and N²LO chiral EFT calculations.