Dalitz plots and lineshape of a1 ( 1260 ) from a relativistic three-body unitary approach

We formulate the final-state interaction of the a1 ( 1260 ) resonance decay in a manifestly three-body unitary parametrization and fit it to the a1 ( 1260 ) line shape measured by the ALEPH experiment. Dalitz plots calculated from this fit are presented. The work demonstrates the feasibility to nume...

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Bibliographic Details
Published in:Physical review. D 2020-05, Vol.101 (9)
Main Authors: Sadasivan, Daniel, Mai, Maxim, Akdag, H., Doring, MIchael
Format: Article
Language:English
Subjects:
NUCLEAR PHYSICS AND RADIATION PHYSICS
Online Access:Get full text
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Summary:We formulate the final-state interaction of the a1 ( 1260 ) resonance decay in a manifestly three-body unitary parametrization and fit it to the a1 ( 1260 ) line shape measured by the ALEPH experiment. Dalitz plots calculated from this fit are presented. The work demonstrates the feasibility to numerically solve a previously derived amplitude and its generalization to isobars with spin and coupled channels. The model can also be applied to other meson decays and modified for the finite-volume problem as it arises in lattice QCD due to its manifest unitarity.
ISSN:2470-0010
2470-0029