We evaluate $I=2$ two-pion scattering length through the scattering amplitude obtained by the Bethe-Salpeter wave function inside the interaction range.
The scattering length is computed with $m_\pi = 0.52-0.86$ GeV in the quenched lattice QCD.
Furthermore, the half-off-shell amplitude is calculated, from which the effective range is extracted.
Our results are compared with those by the conventional finite size method and by chiral perturbation theory to confirm consistency.
Volume 334 -
The 36th Annual International Symposium on Lattice Field Theory (LATTICE2018) -
Hadron Spectroscopy and Interactions
Scattering length from BS wave function inside the interaction range
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Published on:
May 29, 2019
Abstract
DOI: https://doi.org/10.22323/1.334.0078
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Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.