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arXiv · 2603.04094

Towards the time-like pion form factor beyond the elastic regime using domain-wall QCD

Gabriele Morandi·Mattia Bruno·Francesca Argia Bresciani·Christoph Lehner·Julian Parrino
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Abstract

In this work, we investigate the time-like pion form factor from lattice QCD in the isosymmetric limit, a quantity that plays an important role in understanding hadron physics with substantial phenomenological applications. This observable can be calculated in the elastic region using the finite-volume approach, up to the first (four-particle) open channel. With the goal of accessing the exclusive two-pion form factor in the inelastic region, starting from a three-point correlator involving the vector current and two (temporally-displaced) pion interpolating operators, we examine the associated underlying spectral density and calculate the form factor using a formalism based on the LSZ reduction. A preliminary analysis on one ensemble generated by the RBC/UKQCD collaboration using domain-wall fermions is presented.

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Gabriele Morandi, Mattia Bruno, Francesca Argia Bresciani, Christoph Lehner, Julian Parrino. 2026-03-04. Towards the time-like pion form factor beyond the elastic regime using domain-wall QCD. https://arxiv.org/abs/2603.04094

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