Heavy flavour baryons containing one or two charm quarks with light flavour combinations are studied using the hyper central description of the three-body system. The confinement potential is assumed as hyper central coulomb plus power potential with power index ν. The ground state masses and the magnetic moments of charmed, J P = 1 2 + and 3 2 + baryons are computed for different power index, ν starting from 0.5 to 2.0. IntroductionThe investigation of properties of hadrons containing heavy quarks is of great interest in understanding the dynamics of QCD at the hadronic scale. There is renewed interest both experimentally and theoretically in the static properties of heavy flavour baryons such as mass and magnetic moments 1, 2, 3, 4, 5) .Many of the narrow hadron resonances observed recently, brought up surprises in QCD spectroscopy 6) . Recent years, experimental facilities at Belle, BABAR, DELPHI, CLEO, CDF etc have been successful in discovering heavy baryon states along with other heavy flavour mesonic states 4,7,8,9) and many new states are expected in near future. Baryons are not only the interesting systems to study the quark dynamics and their properties but are also interesting from the point of view of simple systems to study three body problems. All these reasons make the study of heavy flavour spectroscopy extremely important and interesting. Here, we employ the hyper central approach to study the three-body problem, particularly the baryons constituting one or two charm quarks. In the present study, the magnetic moments of heavy flavour baryons are computed based on nonrelativistic quark model.

We calculate the mass spectra of the singly charmed baryons (, , and ) using the hypercentral constituent quark model (hCQM). The hyper color Coulomb plus linear potential is used to calculate the masses of positive (up to ) and negative (up to ) parity excited states. The spin-spin, spin-orbital and tensor interaction terms are also incorporated for mass spectra. We have compared our results with other theoretical and lattice QCD predictions for each baryon. Moreover, the known experimental results are also reasonably close to our predicted masses. By using the radial and orbital excitation, we construct Regge trajectories for the baryons in the (n, M2) plane and find their slopes and intercepts. Other properties of these baryons, like magnetic moments, radiative transitions and radiative decay widths, are also calculated successfully.

Abstract. Mass spectra of excited states of the singly charmed baryons are calculated using the hypercentral description of three body system. The baryon consist of a charm quark and light quarks (u, d and s) are studied in the framework of QCD motivated constituent quark model. The form of confinement potential is hyper coloumb plus power potential with potential index ν, varying from 0.5 to 2.0. The first order correction to the confinement potential is also incorporated in this approach. The radial as well as orbital excited state masses of Σ We have incorporated spin-spin, spin-orbit and tensor interactions perturbatively in the present study. The semielectronic decay of Ωc and Ξc are also calculated using the spectroscopic parameters of these baryons. The computed results are compared with other theoretical predictions as well as with the available experimental observations. We also construct the Regge trajectory in (nr, M 2 ) and (J, M 2 ) plane for these baryons.

The decay rates of QQ mesons (Q ε c, b) are studied in the NRQCD formalism in terms of their short distance and long distance coefficients. The long distance coefficients are obtained through phenomenological potential model description of the mesons. The model parameters that reproduces the mass spectrum of the cc, bb and cb mesons are employed to study the decay widths of these mesons. We extract the mass spectrum as well as the reproduces the respective radial wave functions from the different potential models as well as from non-relativistic phenomenological quark antiquark potential of the type V (r) = − αc r + Ar ν , with ν varying from 0.5 to 2. The spin hyperfine and spin-orbit interactions are employed to obtain the masses of the pseudoscalar and vector mesons. The decay constants with QCD corrections are computed in this model as well as in the case of other potential models for comparison. The digamma and dileptonic decays of cc, and bb mesons are investigated using some of the known potential models without and with radiative corrections up to the lowest order. These decay width are also computed within the NRQCD formalism up to O(v 4 ) by making uses of the respective spectroscopic parameters of the models. Our theoretical predictions of the decays of the cc, and bb mesons and the results obtained from some of the other potential schemes are compared with the experimental values. The partial widths and life time of the B c meson are also computed using the model parameters and are found to be in good accordance with the experimental values.pacs 12.39Jh, 12.40Yx, 13.20.Gd, 13.20Fc, 13.25.Hw,14.40.Nd

We present the mass spectra of radial and orbital excited states of singly heavy bottom baryons;The QCD motivated hypercentral quark model is employed for the three body description of baryons and the form of confinement potential is hyper coulomb plus linear. The first order correction to the confinement potential is also incorporated in this work. The semi-electronic decay of Ω b and Ξ b are calculated using the spectroscopic parameters of the baryons. The computed results are compared with other theoretical predictions as well as with the available experimental observations. The Regge trajectories are plotted in (n, M 2 ) plane.

In this paper, the mass spectra are obtained for doubly heavy baryons, namely, + cc , ++ cc , − bb , 0 bb , 0 bc and + bc . These baryons consist of two heavy quarks (cc, bb, and bc) with a light (d or u) quark. The ground, radial, and orbital states are calculated in the framework of the hypercentral constituent quark model with Coulomb plus linear potential. Our results are also compared with other predictions, thus, the average possible range of excited states masses of these baryons can be determined. The study of the Regge trajectories is performed in (n, M 2 ) and (J , M 2 ) planes and their slopes and intercepts are also determined. Lastly, the ground state magnetic moments of these doubly heavy baryons are also calculated.

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