2014/05/29 by A. Martinez Torres, A. Martínez Torres, Kanchan Khemchandani +4 · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Atomic physics #Bar (unit) #Chemistry #Combinatorics #Crystallography #Formalism (music) #Hadron #High-Energy Particle Collisions Research #Mathematics #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Production (economics) #Quantum Chromodynamics and Particle Interactions #Vertex (graph theory) #X(3872) #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.90.114023
published as Phys. Rev. D 90, 114023 (2014)
arxiv created 2014/05/29 · openalex publication_date 2014/12/18 · arxiv updated 2014/12/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We have determined the production cross sections of the X(3872) state in the reactions DD\ensuremath→\ensuremathπX, D*D\ensuremath→\ensuremathπX, and D*D*\ensuremath→\ensuremathπX, information which is useful for studies of the X(3872) meson abundance in heavy ion collisions. We construct a formalism considering X as a molecular bound state of D0D*0\ensuremath-c.c., D^\ensuremath-D*+\ensuremath-c.c., and Ds^\ensuremath-Ds*+\ensuremath-c.c. To obtain the amplitudes related to these processes we have made use of effective field Lagrangians. The evaluation of the cross section of the processes involving D* meson(s) requires the calculation of an anomalous vertex, XD*D*, which has been obtained by considering triangular loops motivated by the molecular nature of X(3872). Proceeding in this way, we have evaluated the cross section for the reaction D*D\ensuremath→\ensuremathπX, and find that the diagrams involving the XD*D* vertex give a large contribution. Encouraged by this finding we estimate the XD*D* coupling, which turns out to be 1.95\ifmmode±\else\textpm\fi0.22. We then use it to obtain the cross section for the reaction D*D*\ensuremath→\ensuremathπX and find that, in this case too, the XD*D* vertex is relevant. We also discuss the role of the charged components of X in the determination of the production cross sections.