The Optical Potential on the Lattice
Dimitri Agadjanov, Michael Doring, Maxim Mai, Ulf-G. Mei{\ss}ner,, Akaki Rusetsky
TL;DR
This paper introduces a novel lattice method for directly extracting complex hadron-hadron optical potentials, simplifying the analysis of inelastic channels without multi-channel formalism or modifications for multi-particle channels.
Contribution
The proposed method allows direct extraction of optical potentials on the lattice, bypassing the complex multi-channel L"uscher approach, and is applicable to channels with three or more particles.
Findings
Enables direct lattice calculation of optical potentials.
Applicable to inelastic channels with multiple particles.
Simplifies analysis of hadron-hadron interactions.
Abstract
The extraction of hadron-hadron scattering parameters from lattice data by using the L\"uscher approach becomes increasingly complicated in the presence of inelastic channels. We propose a method for the direct extraction of the complex hadron-hadron optical potential on the lattice, which does not require the use of the multi-channel L\"uscher formalism. Moreover, this method is applicable without modifications if some inelastic channels contain three or more particles.
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