Document Type

Article

Publication Date

2016

DOI

10.1103/PhysRevD.94.013008

Publication Title

Physical Review D

Volume

94

Issue

1

Pages

013008 (1-36)

Abstract

We derive formalism for determining 2+𝓙 → 2 infinite-volume transition amplitudes from finite-volume matrix elements. Specifically, we present a relativistic, model-independent relation between finite-volume matrix elements of external currents and the physically observable infinite-volume matrix elements involving two-particle asymptotic states. The result presented holds for states composed of two scalar bosons. These can be identical or nonidentical and, in the latter case, can be either degenerate or nondegenerate. We further accommodate any number of strongly coupled two-scalar channels. This formalism will, for example, allow future lattice QCD calculations of the ρ-meson form factor, in which the unstable nature of the ρ is rigorously accommodated.

Comments

© 2016 American Physical Society

"Yes, the author or the author's employer may use all or part of the APS published article, including the APS-prepared version (e.g., the PDF from the online journal) without revision or modification, on the author's or employer's website as long as a fee is not charged. If a fee is charged, then APS permission must be sought. In all cases, the appropriate bibliographic citation and notice of the APS copyright must be included."

Original Publication Citation

Briceño, R.A. & Hansen, M.T. (2016) Relativistic, model-independent, multichannel 2 → 2 transition amplitudes in a finite volume. Physical Review D, 94(1) 1-36, Article 013008. https://doi.org/10.1103/PhysRevD.94.013008

ORCID

0000-0003-1109-1473 (Briceño)

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