Considering the formalism of symplectic quantum mechanics, we investigate a two-dimensional nonrelativistic strong interacting system, describing bound heavy quark-antiquark state. The potential has linear component that is analyzed in context generalized fractional derivatives. For this purpose, Schrödinger equation phase space solved with potential. ground state solution obtained and through ...

Using a systematic expansion of the quark-antiquark Bethe-Salpeter wavefunctions in the relativistic quark model and working to O(P ), in the chiral limit, we are able to derive theoretical expressions relating the coefficients of the chiral lagrangian l1, l2 to the underlying quark-antiquark wavefunctions and interaction kernels. This is accomplished by using a novel technique based on a Ward ...

Using a systematic expansion of the quark-antiquark Bethe-Salpeter wave functions in the relativistic quark model and working to O(P) in the chiral limit, we are able to derive theoretical expressions relating the coefficients of the chiral Lagrangian l1 ,l2 to the underlying quark-antiquark wave functions and interaction kernels. This is accomplished by using a novel technique based on a Ward ...

The stability of strange pentaquarks uudds is studied in a constituent quark model based on a flavor-spin hyperfine interaction between quarks. With this interaction model, which schematically represents the Goldstone boson exchange interaction between constituent quarks, the lowest lying strange pentaquark is a p−shell state with positive parity. The flavor-spin interaction lowers the energy o...

We present a covariant approach to describe the low–lying scalar, pseudoscalar, vector and axialvector mesons as quark–antiquark bound states. This approach is based on an effective interaction modeling of the non–perturbative structure of the gluon propagator that enters the quark Schwinger–Dyson and meson Bethe–Salpeter equations. We extract the meson masses and compute the pion and kaon deca...

The static gluon-quark-antiquark interaction is investigated using lattice QCD techniques. A Wilson loop adequate to the static hybrid three-body system is developed and, using a 243 ×48 periodic lattice with β = 6.2, the potential energy of the system is measured for different geometries. For the medium range behaviour, when the quarks are far apart, we find a string tension which is compatibl...