Scattering off unstable states

Fuente: arXiv
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Autores principales: Giacosa, Francesco, Shastry, Vanamali
Formato: Preprint
Publicado: 2025
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author Giacosa, Francesco
Shastry, Vanamali
author_facet Giacosa, Francesco
Shastry, Vanamali
contents Unstable states that live long enough may appear as in(out)going particles in scattering experiments. Yet, the standard QFT approach strictly applies only to fully stable asymptotic states. This is evident when scattering involving unstable particles develops a $t$-channel singularity at specific angles. We employ a finite-time formalism leading to analytic results without the singularity (even in the infinite-time limit), thus solving the problem at a phenomenological level. In turn, the approach also justifies treating long-lived particles, like weakly decaying pions, as stable during strong interactions.
format Preprint
id arxiv_https___arxiv_org_abs_2507_03145
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Scattering off unstable states
Giacosa, Francesco
Shastry, Vanamali
High Energy Physics - Phenomenology
High Energy Physics - Theory
Nuclear Theory
Unstable states that live long enough may appear as in(out)going particles in scattering experiments. Yet, the standard QFT approach strictly applies only to fully stable asymptotic states. This is evident when scattering involving unstable particles develops a $t$-channel singularity at specific angles. We employ a finite-time formalism leading to analytic results without the singularity (even in the infinite-time limit), thus solving the problem at a phenomenological level. In turn, the approach also justifies treating long-lived particles, like weakly decaying pions, as stable during strong interactions.
title Scattering off unstable states
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
Nuclear Theory
url https://arxiv.org/abs/2507.03145