2018/04/03 by L. R. Dai, R. Pavao, Shuntaro Sakai +2
Physics and Astronomy · #Crystallography #Geometry #Hadron #High-Energy Particle Collisions Research #Isospin #Lambda #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Singularity #hep-ph
paper · pdf · doi:10.1103/physrevd.97.116004
published as Phys. Rev. D 97, 116004 (2018) · 18 pages, 6 figures
arxiv created 2018/04/03 · openalex created_date 2018/04/13 · openalex publication_date 2018/06/05 · arxiv updated 2018/06/13 · openalex updated_date 2026/08/05
The decay of \mathrm\ensuremathΛc+ into \ensuremathπ+\ensuremathπ0\mathrm\ensuremathΛ(1405) with the \mathrm\ensuremathΛ(1405) decay into \ensuremathπ0\mathrm\ensuremathΣ0 through a triangle diagram is studied. This process is initiated by \mathrm\ensuremathΛc+\ensuremath→\ensuremathπ+K*N, and then the K* decays into K\ensuremathπ and KN produce the \mathrm\ensuremathΛ(1405) through a triangle loop containing K*NK which develops a singularity around 1890 MeV. This process is prohibited by the isospin symmetry, but the decay into this channel is enhanced by the contribution of the triangle diagram, which is sensitive to the mass of the internal particles. We find a narrow peak in the \ensuremathπ0\mathrm\ensuremathΣ0 invariant mass distribution, which originates from the \mathrm\ensuremathΛ(1405) amplitude, but is tied to the mass differences between the charged and neutral K or N states. The observation of the unavoidable peak of the triangle singularity in the isospin-violating \mathrm\ensuremathΛ(1405) production would provide further support for the hadronic molecular picture of the \mathrm\ensuremathΛ(1405) and further information on the KN interaction.