Document Type

Article

Publication Date

2019

DOI

10.1103/PhysRevD.99.014516

Publication Title

Physical Review D

Volume

99

Issue

1

Pages

014516 (1-40)

Abstract

In previous work, we have developed a relativistic, model-independent three-particle quantization condition, but only under the assumption that no poles are present in the two-particle K matrices that appear as scattering subprocesses [M. T. Hansen and S. R. Sharpe, Phys. Rev. D 90, 116003 (2014); M. T. Hansen and S. R. Sharpe, Phys. Rev. D 92, 114509 (2015); R. A. Briceño et al., Phys. Rev. D 95, 074510 (2017).]. Here we lift this restriction, by deriving the quantization condition for identical scalar particles with a G-parity symmetry, in the case that the two-particle K matrix has a pole in the kinematic regime of interest. As in earlier work, our result involves intermediate infinite-volume quantities with no direct physical interpretation, and we show how these are related to the physical three-to-three scattering amplitude by integral equations. This work opens the door to study processes such as a2→ρπ→πππ, in which the ρ is rigorously treated as a resonance state.

Comments

"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."

© 2019 American Physical Society

Original Publication Citation

Briceño, R. A., Hansen, M. T., & Sharpe, S. R. (2019). Three-particle systems with resonant subprocesses in a finite volume. Physical Review D, 99(1), 014516. doi:10.1103/PhysRevD.99.014516

ORCID

0000-0003-1109-1473 (Briceño)

Download

Share

COinS