S-wave nonleptonic hyperon decays and ΞbπΛb

Michael Gronau and Jonathan L. Rosner
Phys. Rev. D 93, 034020 – Published 10 February 2016

Abstract

The decay ΞbπΛb has recently been observed by the LHCb Collaboration at CERN. In contrast to most weak decays of b-flavored baryons, this process involves the decay of the strange quark in Ξb and thus has features in common with nonleptonic weak decays of hyperons. Thanks to the expected pure S-wave nature of the decay in question in the heavy b quark limit, we find that its amplitude may be related to those for S-wave nonleptonic decays of Λ, Σ, and Ξ in a picture inspired by duality. The calculated branching fraction B(ΞbπΛb)=(6.3±4.2)×103 is consistent with the range allowed in the LHCb analysis. The error is dominated by an assumed 30% uncertainty in the amplitude due to possible U(3) violation. A more optimistic view based on sum rules involving nonleptonic hyperon decay S-wave amplitudes reduces the error on the branching fraction to 2.0×103.

  • Figure
  • Received 4 January 2016

DOI:https://doi.org/10.1103/PhysRevD.93.034020

© 2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
Particles & Fields

Authors & Affiliations

Michael Gronau

  • Physics Department, Technion, Haifa 32000, Israel

Jonathan L. Rosner

  • Enrico Fermi Institute and Department of Physics, University of Chicago Chicago, Illinois 60637, USA

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Issue

Vol. 93, Iss. 3 — 1 February 2016

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