Abstract
We calculate light-front wave functions of mesons, baryons and pentaquarks in a model including constituent mass (representing chiral symmetry breaking), harmonic confining potential, and 4-quark local interaction of 't Hooft type. The model is a simplified version of that used by Jia and Vary. The method used is numerical diagonalization of the Hamiltonian matrix, with certain functional basis. We found that the nucleon wave function displays strong diquar correlations, unlike that for Delta (decuplet) baryon. We also calculate 3-quark-5-quark admixture to baryons, and the resulting antiquark sea PDF.
Highlights
Chiral symmetry breaking is included via effective “constituent quark” masses; the Coulomb-like and confinement forces are included via some potentials
Started from small-distance operator product expansion (OPE) and the QCD sum rule method, it moved to intermediate distances, and it is mostly used at large time separations Δτ by the lattice gauge theory (LGT) simulations
Our particles will be only quarks. They would be dressed due to chiral symmetry breaking and have effective “constituent quark masses.” (iii) While each N-sector will be described by a space with a certain appropriate number of basis states, the corresponding polynomials, we will truncate the Hilbert space to minimal and next-to-minimal (Nmin and Nmin þ 2) sectors
Summary
Let us start with a general picture, describing various approaches to the theory of hadrons, identifying the following:. Lattice studies, starting from the first principles of QCD, have convincingly demonstrated that they correctly include all nonperturbative phenomena They do display chiral symmetry breaking and confinement, and they reproduce accurately hadronic masses. The aim of the present paper is to bridge the gap between approaches (ii) and (iii) It is a kind of pilot project, using a particular quark model (deliberately stripped down to its “bare bones”) and performing consistent dynamical calculations of the light-front wave functions in it. It follows directly the approach of Jia and Vary [7] to pion and rho mesons.
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