https://doi.org/10.1140/epja/i2018-12503-9
Regular Article - Theoretical Physics
decay in the extended Nambu-Jona-Lasinio model
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Russia
* e-mail: osipov@nu.jinr.ru
Received:
30
January
2018
Accepted:
27
March
2018
Published online:
24
April
2018
Within the framework of the extended Nambu-Jona-Lasinio model, we calculate the matrix element of the decay, obtain the invariant mass distribution of the
-system and estimate the branching ratio
. The two types of contributions are considered: the contact interaction, and the axial-vector
resonance exchange. The latter includes the ground
state, and its first radially excited state,
. The corrections caused by the
-
transitions are taken into account. Our estimate is in a good agreement with the latest empirical result
. The distribution function obtained for the decay
shows a clear signal of
resonance which should be compared with future experimental data including our estimate of the decay width
MeV.
© SIF, Springer-Verlag GmbH Germany, part of Springer Nature, 2018