Analysis of the nonleptonic two-body decays of the hyperon


Ivanov M.A. Körner J.G. Lyubovitskij V.E. Tyulemissov Z.
1 October 2021American Physical Society

Physical Review D
2021#104Issue 7

We systematically study two-body nonleptonic decays of light lambda hyperon with account for both short- and long-distance effects. The short-distance effects are induced by five topologies of external and internal weak exchange, while long-distance effects are saturated by an inclusion of the so-called pole diagrams with intermediate and baryon resonances. The contributions from resonances are calculated straightforwardly by account for nucleon and baryons whereas the contributions from resonances are calculated by using the well-known soft-pion theorem in the current-algebra approach. It allows one to express the parity-violating -wave amplitude in terms of parity-conserving matrix elements. From our previous analysis of heavy baryons we know that short-distance effects induced by internal topologies are not suppressed in comparison with external -exchange diagram and must be included for description of data. Here, in the case of decays we found that the contribution of external and internal -exchange diagrams is sizably suppressed, e.g., by one order of magnitude in comparison with data, which are known with quite good accuracy. Pole diagrams play the major role to get consistency with experiment.



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Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russian Federation
PRISMA Cluster of Excellence, Institut für Physik, Johannes Gutenberg-Universitä, Mainz, D-55099, Germany
Kepler Center for Astro and Particle Physics, Tübingen, Auf der Morgenstelle 14, D-72076, Germany
Departamento de Física y Centro Cientí, Tecnológico de Valparaíso-CCTVal, Universidad T, cnica Federico Santa Marí, Casilla 110-V, Valparaíso, Chile
Millennium Institute for Subatomic Physics at the High-Energy Frontier (SAPHIR) of ANID, Fernández Concha 700, Santiago, Chile
Department of Physics, Tomsk State University, Tomsk, 634050, Russian Federation
Tomsk Polytechnic University, Tomsk, 634050, Russian Federation
Institute of Nuclear Physics, Ministry of Energy of the Republic of Kazakhstan, Almaty, 050032, Kazakhstan
Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan

Bogoliubov Laboratory of Theoretical Physics
PRISMA Cluster of Excellence
Kepler Center for Astro and Particle Physics
Departamento de Física y Centro Cientí
Millennium Institute for Subatomic Physics at the High-Energy Frontier (SAPHIR) of ANID
Department of Physics
Tomsk Polytechnic University
Institute of Nuclear Physics
Al-Farabi Kazakh National University

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