Abstract
We present a comparative Faddeev study of heavy baryon spectroscopy with nonrelativistic and relativistic kinematics. We show results for different standard hyperfine interactions with both kinematics in an attempt to learn about the light quark dynamics. We highlight the properties of particular states accessible in nowadays laboratories that would help in discriminating between different dynamical models. The advance in the knowledge of light quark dynamics is a key tool for the understanding of the existence of exotic hadrons.
Highlights
There have been exciting developments in heavybaryon physics, both theoretically and experimentally
An alternative to the Bhaduri model based just on a one-gluon exchange (OGE) interaction emerged with models aiming a coherent understanding of the hadron spectra and the hadron–hadron interactions [46,47]
One could have fitted the strength of confinement to get a better description of the first negative parity state, but it is not the purpose of the present work to get the better χ 2 fit to the experimental data but to highlight the mechanisms controlling the relevant aspects of the heavy baryon spectrum.4. To this respect we find the first relevant difference between the relativistic and the nonrelativistic treatment of the kinetic energy operator in the heavy baryon spectroscopy that resembles what has been observed in the case of the light baryon spectroscopy [42,54,55,56]
Summary
There have been exciting developments in heavybaryon physics, both theoretically and experimentally. Baryonic states containing two heavy quarks should be visible with the current detector, as the Ξcc isodoublet. Current set of data will certainly be insufficient for angular analyses aimed at confirming the quark model predictions for the spin–parity of these states. These studies will require the statistics and improved triggering of the LHCb upgrade [3]. In the few years, more results are expected to appear in currently running experiments, e.g. Belle [4], BES-III [5] and the future PANDA experiment at the FAIR facility [6]. Tremendous efforts are being done in lattice QCD simulations to minimize the systematic errors in the prediction of ground and excited heavy baryon masses [7,8,9,10,11,12,13,14]
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