Signatures of the two K1(1270) poles in D+→νe+VP decay

• Published in: The European physical journal. C, Particles and fields Particles and fields, 2020-05, Vol.80 (5)
• Main Authors: Wang, Guan-Ying, Roca, Luis, Wang, En, Liang, Wei-Hong, Oset, Eulogio
• Format: Article
• Language: English
• Subjects: Astronomy; Astrophysics and Cosmology; Channels; Chiral dynamics; Decay; Elementary Particles; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Perturbation theory; Physics; Physics and Astronomy; Poles; Quantum Field Theories; Quantum Field Theory; Quantum numbers; Regular Article - Theoretical Physics; Resonance; String Theory
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-020-7939-1

We analyze theoretically the D + → ν e + ρ K ¯ and D + → ν e + K ¯ ∗ π decays to see the feasibility to check the double pole nature of the axial-vector resonance K 1 ( 1270 ) predicted by the unitary extensions of chiral perturbation theory (UChPT). Indeed, within UChPT the K 1 ( 1270 ) is dynamically generated from the interaction of a vector and a pseudoscalar meson, and two poles are obtained for the quantum numbers of this resonance. The lower mass pole couples dominantly to K ∗ π and the higher mass pole to ρ K , therefore we can expect that different reactions weighing differently these channels in the production mechanisms enhance one or the other pole. We show that the different final VP channels in D + → ν e + V P weigh differently both poles, and this is reflected in the shape of the final vector-pseudoscalar invariant mass distributions. Therefore, we conclude that these decays are suitable to distinguish experimentally the predicted double pole of the K 1 ( 1270 ) resonance.