Charmed baryons in nuclear matter

Abstract

We study the temperature and baryon density dependence of the masses of the lightest charmed baryons ${\Lambda }_c$, ${\Sigma }_c$ and ${\Sigma }_c^{\ast }$. We also look at the effects of the temperature and baryon density on the binding energies of the ${\Lambda }_{c}N$ and ${\Lambda }_c{\Lambda }_c$ systems. Baryon masses and baryon-baryon interactions are evaluated within a chiral constituent quark model. Medium effects are incorporated in those parameters of the model related to the dynamical breaking of chiral symmetry, which are the masses of the constituent quarks, the $\sigma$ and $\pi$ meson masses, and quark-meson couplings. We find that while the in-medium ${\Lambda }_c$ mass decreases monotonically with temperature, those of ${\Sigma }_c$ and ${\Sigma }_c^{\ast }$ have a nonmonotonic dependence. These features can be understood in terms of a simple group theory analysis regarding the one-gluon exchange interaction in those hadrons. The in-medium ${\Lambda }_{c}N$ and ${\Lambda }_c{\Lambda }_c$ interactions are governed by a delicate balance involving a stronger attraction due to the decrease of the $\sigma$ meson mass, suppression of coupled-channel effects and lower thresholds, leading to shallow bound states with binding energies of a few~MeV. The ${\Lambda }_c$ baryon could possibly be bound to a large nucleus, in qualitative agreement with results based on relativistic mean field models or QCD sum rules. Ongoing experiments at RHIC or LHCb or the planned ones at FAIR and J-PARC may take advantage of the present results.

19 pages, 5 figures

References in corpus (13)

• Multiquark Resonances
• Exotics: Heavy Pentaquarks and Tetraquarks
• Constituent quark model study of the meson spectra
• Quark-model study of few-baryon systems
• Towards an understanding of heavy baryon spectroscopy
• Multi-quark hadrons from Heavy Ion Collisions
• Future Prospects for Hadron Physics at PANDA
• Hadronic Molecular States Composed of Heavy Flavor Baryons
• Heavy molecules and one-$\sigma /\omega$-exchange model
• Deuteron-like states composed of two doubly charmed baryons
• Hadronic molecules with a $\bar{D}$ meson in a medium
• Strange and Heavy Flavoured Hypernuclei in Chiral Soliton Models
• Nonmesonic weak decay of charmed hypernuclei

Cited by in corpus (2)

• Production of exotic tetraquarks $QQ\bar{q}\bar{q}$ in heavy-ion collisions at the LHC
• Femtoscopic correlations and the ${\Lambda }_{c}N$ interaction