https://doi.org/10.1140/epja/i2018-12450-5
Regular Article - Theoretical Physics
Triangle singularities in
and
1
Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC Institutos de Investigación de Paterna, Aptdo.22085, 46071, Valencia, Spain
2
Departament de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos, Universitat de Barcelona, Martí i Franquès 1, 08028, Barcelona, Spain
* e-mail: shuntaro.sakai@ific.uv.es
Received:
18
September
2017
Accepted:
20
December
2017
Published online:
29
January
2018
We study the appearance of structures in the decay of the into
and
final states by forming invariant mass distributions of
and
pairs, respectively. The structure in the distribution is associated to the kinematical triangle singularity that appears when the
(
) decay process is followed by the decay of the
into
and the subsequent rescattering of the
(
) pair forming the
(
resonance. We find this type of non-resonant peaks at 2850MeV in the invariant mass of
pairs from
decays and around 3000MeV in the invariant mass of
pairs from
decays. By employing the measured branching ratios of the
and
decays, we predict the branching ratios for the processes
into
and
, in the vicinity of the triangle singularity peak, to be about
and
, respectively. The observation of this reaction would also give extra support to the molecular picture of the
and
.
© SIF, Springer-Verlag GmbH Germany, part of Springer Nature, 2018