An interpolating mass formula and Regge trajectories for light and heavy quarkonia (original) (raw)

Regge trajectories of excited baryons, quark-diquark models, and quark-hadron duality

Physical Review D, 2017

The parton model relations in conjunction with quark-hadron duality in deep inelastic scattering suggests an asymptotic dominance of quark-diquark type of Baryonic excited states with a radial Regge uniformly distributed mass squared spectrum, M 2 n = µ 2 n + M 2 0. We argue that this points to a linearly quark-diquark confining potential. We analyze the radial (n) and angular-momentum (J) Regge trajectories for all light-quark states with baryon number one listed in the 2016 edition of the Particle Data Tables. The parameters of the mass squared trajectories are obtained by linear regression assuming ∆M 2 n ∼ M n Γ n weighted with the width Γ n of the resonance and the error analysis is carried out accordingly.

New mass relations for heavy quarkonia

Physical Review D, 1997

By assuming the existence of (quasi)-linear Regge trajectories for heavy quarkonia in the low energy region, we derive a new, sixth power, meson mass relation which shows good agreement with experiment for both charmed and beauty mesons. This relation may be reduced to a quadratic Gell-Mann-Okubo

Systematics of heavy quarkonia from Regge trajectories on (n,M^{2}) and (M^{2},J) planes

Physical Review D, 2006

In this paper we show that heavy quarckonium states, similar to light mesons, form Regge trajectories in (n, M 2) and (M 2 , J) planes and the slope of these trajectories is independent on the quantum numbers of the mesons. This fact can be useful for the prediction of the masses of heavy quarkonia and the determination of the quantum numbers of the newly discovered states.

Relativistic effects and the constituent quark model of heavy quarkonia

Zeitschrift f�r Physik C Particles and Fields, 1992

Charmonium cO and bottomonium bb are investigated in the framework of a constituent quark model. A scalar confining and a one-gluon exchange (OGE) potential are used in a nonrelativistic reduction to order (p/m) 2. Therefore the model includes spin dependent as well as spin independent terms. Their influence on the meson mass spectra and decay widths is analysed. We find that the experimental spectra can be reproduced by using a full model as well as by using a reduced version neglecting the spin independent terms. For both versions we calculate leptonic and radiative decay widths including relativistic corrections for the current operators. We find that for leptonic decays inclusion of all terms of the OGE potential gives better results than the non-relativistic formulas. For radiative transitions relativistic corrections are important.

Potential model calculations and predictions for cs¯ quarkonia

Physical Review D, 2009

We investigate the spectroscopy and decays of the charmonium and upsilon systems in a potential model consisting of a relativistic kinetic energy term, a linear confining term including its scalar and vector relativistic corrections and the complete perturbative one-loop quantum chromodynamic short distance potential. The masses and wave functions of the various states are obtained using a variational technique, which allows us to compare the results for both perturbative and nonperturbative treatments of the potential. As well as comparing the mass spectra, radiative widths and leptonic widths with the available data, we include a discussion of the errors on the parameters contained in the potential, the effect of mixing on the leptonic widths, the Lorentz nature of the confining potential and the possible cc interpretation of recently discovered charmonium-like states.

Effect of color screening on heavy quarkonia Regge trajectories

Physics Letters B, 1999

Using an unquenched lattice potential to calculate the spectrum of a bottomoniumlike system, we demonstrate numerically that the effect of pair creation is to produce termination of the real part of hadronic Regge trajectories, in contrast to the Veneziano model and the vast majority of phenomenological generalizations. Termination of the real part of Regge trajectories may have significant experimental consequences.

Quantum-chromodynamic potential model for light-heavy quarkonia and the heavy quark effective theory

Physical Review D, 1995

We have investigated the spectra of light-heavy quarkonia with the use of a quantum-chromodynamic potential model which is similar to that used earlier for the heavy quarkonia. An essential feature of our treatment is the inclusion of the one-loop radiative corrections to the quark-antiquark potential, which contribute significantly to the spin-splittings among the quarkonium energy levels. Unlike cc and bb, the potential for a light-heavy system has a complicated dependence on the light and heavy quark masses m and M , and it contains a spin-orbit mixing term. We have obtained excellent results for the observed energy levels of D 0 , D s , B 0 , and B s , and we are able to provide predicted results for many unobserved energy levels. Our potential parameters for different quarkonia satisfy the constraints of quantum chromodynamics.

The hypercentral constituent quark model

Nuclear Physics A, 2002

The hypercentral constituent quark model contains a spin independent three-quark interaction inspired by lattice QCD calculations which reproduces the average energy of SU (6) multiplets [1]. The splittings are obtained with a residual generalized SU (6)-breaking interaction including an isospin dependent term . The long standing problem of the Roper is absent and all the 3-and 4-star states are well reproduced. The model has been used in a systematic way for transverse and longitudinal electromagnetic transition form factor of the 3-and 4-star and also for the missing resonances. The prediction of the electromagnetic helicity amplitudes agrees quite well with the data except for low Q 2 , showing that it can supply a realistic set of quark wave functions. In particular we report the calculated helicity amplitude A 1/2 for the S11(1535), which is in agreement with the TJNAF data .

The Quarkonium Analysis of the QGP

EPJ Web of Conferences, 2014

Quarkonium production has been considered as a tool to study the medium formed in high energy nuclear collisions, assuming that the formation of a hot and dense environment modifies the production pattern observed in elementary collisions. The basic features measured there are the relative fractions of hidden to open heavy flavor and the relative fractions of the different hidden heavy flavor states. Hence the essential question is if and how these quantities are modified in nuclear collisions. We show how the relevant data must be calibrated, i.e., what reference has to be used, in order to determine this in a model-independent way.