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
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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