The decays η′→πρ and ρ→πη in the chiral NJL model
Abstract
The branching fractions of the decays η′→πρ and ρ→πη are calculated in the chiral quark NJL model. The decays exist due to the mass difference between u- and d-quarks leading to π0−η′ and π0−η mixing. Two different approaches are applied: the approximate calculation of this process, taking into account the transitions π0−η′ and π0−η explicitly without diagonalization and a more precise approach consisting in the diagonalization of the singlet and octet states leading to the physical fields π0, η and η′. The obtained results are in satisfactory agreement with current experimental data.