AdS-QCD quark–antiquark potential, meson spectrum and tetraquarks

• Published in: The European physical journal. C, Particles and fields Particles and fields, 2008-10, Vol.57 (3), p.569-578
• Main Authors: Carlucci, M. V., Giannuzzi, F., Nardulli, G., Pellicoro, M., Stramaglia, S.
• Format: Article
• Language: English
• Subjects: Astronomy; Astrophysics and Cosmology; Elementary Particles; Exact sciences and technology; Gluons; Hadrons; Heavy Ions; Kinematics; Measurement Science and Instrumentation; Mesons; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum chromodynamics; Quantum Field Theories; Quantum Field Theory; Quarks; Regular Article - Theoretical Physics; Schrodinger equation; Strangeness; String Theory; The physics of elementary particles and fields
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-008-0687-2

The AdS/QCD correspondence predicts the structure of the quark–antiquark potential in the static limit. We use this piece of information together with the Salpeter equation (Schrödinger equation with relativistic kinematics) and a short range hyperfine splitting potential to determine quark masses and the quark potential parameters from the meson spectrum. The agreement between theory and experimental data is satisfactory, provided one considers only mesons comprising at least one heavy quark. We use the same potential (in the one-gluon-exchange approximation) and these data to estimate the constituent diquark masses. Using these results as input we compute tetraquark masses using a diquark–antidiquark model. The masses of the states X (3872) or Y (3940) are predicted rather accurately. We also compute tetraquark masses with open charm and strangeness. Our result is that tetraquark candidates such as D s (2317), D s (2457) or X (2632) can hardly be interpreted as diquark–antidiquark states within the present approach.