Direct access to hadronic decay parameters with twisted boundary conditions

TL;DR

This paper explores a novel method to directly access hadronic decay parameters using twisted boundary conditions, aiming to bypass traditional formalism and test phenomenological models.

Contribution

It introduces a new approach to study hadronic decay amplitudes directly, avoiding the Lüscher formalism, and investigates its effectiveness for the $ ext{Psi}(3770) o ar{D}D$ decay.

Findings

Potential to compute decay amplitude dependence on charm-quark mass

Circumvents issues with final state interactions

Assesses the necessity of excited state extraction

Abstract

Our exploratory study looks for direct access to the resonant hadronic transition amplitude without resorting to the L\"uscher formalism. We study the decay $\Psi(3770)\to\bar{D}D$ by applying partially twisted boundary conditions to the quenched charm quark, circumventing possible problems with final state interactions. If successful, we could compute the dependence of the transition amplitude on the charm-quark mass and test the predictions made by phenomenological quark-pair-creation models. Finally, we study if and to what extent an extraction of the excited state $\Psi(3770)$ is necessary for this analysis.