Three-pion Scattering from Lattice QCD
Open AccessUnderstanding the hadron spectrum and interactions is one of the core goals of nuclearphysics. A large experimental and theoretical effort is dedicated to this task. Onthe experimental side, laboratories around the world are performing collider experimentsto determine particle and resonance properties. On the phenomenological side, modelsof hadron interactions of increasing sophistication are used to fit the experimental data.Modeling hadron interactions is difficult because they are composite objects with complexstructure.Recently it has become possible to study hadron interactions directly in terms of thedynamics of their constituents, quarks and gluons, using lattice quantum chromodynamics(QCD). While these are challenging calculations, this approach offers direct theoreticalaccess to parameter ranges that are experimentally inaccessible. This can serve both tocheck QCD in the hadronic energy range and as a complementary tool to inform experimentand phenomenology.In the last decade, lattice QCD has been used with great success to study two-hadronscattering, in particular for the two-meson sector. For these studies, lattice QCD providesas input the energy of two-hadron states in a finite box; scattering parameters are derivedusing a formalism that was developed over the last three decades. In the last few years, asignificant effort has been dedicated to constructing a framework to access three-hadronamplitudes from lattice QCD. In this work, we present a state-of-the-art calculation ofthree-pion finite-volume energies and we use this to validate a formalism recently developedto connect them to the infinite volume amplitudes. We also present a calculation of thetwo-pion channel that appears as an ingredient in the three-pion calculation and show thatthis is well captured by the inverse amplitude model used to describe pion-pion interactions.
- All rights reserved
Notice to Authors
If you are the author of this work and you have any questions about the information on this page, please use the Contact form to get in touch with us.
| Thumbnail | Title | Date Uploaded | Visibility | Actions |
|---|---|---|---|---|
|
|
CulverJr_gwu_0075A_15199.pdf | 2020-09-10 | Open Access |
|