Charmed Baryon ${\Lambda }_c$ in Nuclear Matter

Abstract

Density dependences of the mass and self-energies of ${\Lambda }_c$ in nulear matter are studied in the parity projected QCD sum rule. Effects of nuclear matter are taken into account through the quark and gluon condensates. It is found that the four-quark condensates give dominant contributions. As the density dependences of the four-quark condensates are not known well, we examine two hypotheses. One is based on the factorization hypothesis (F-type) and the other is derived from the perturbative chiral quark model (QM-type). The F-type strongly depends on density, while the QM-type gives a weaker dependence. It is found that, for the F-type dependence, the energy of ${\Lambda }_c$ increases as the density of nuclear matter grows, that is, ${\Lambda }_c$ feels repulsion. On the other hand, the QM-type predicts a weak attraction ($\sim 20$ MeV at the normal nuclear density) for ${\Lambda }_c$ in nuclear matter. We carry out a similar analysis of the $\Lambda$ hyperon and find that the F-type density dependence is too strong to explain the observed binding energy of $\Lambda$ in nuclei. Thus we conclude that the weak density dependence of the four-quark condensate is more realistic. The scalar and vector self-energies of ${\Lambda }_c$ for the QM-type dependence are found to be much smaller than those of the light baryons.

14 pages, 6 figures, 2 tables, published version

References in corpus (11)

• Parton distributions for the LHC
• In-medium chiral condensate beyond linear density approximation
• Role of the tetraquark in the chiral phase transition
• Four-Quark Condensates in Nucleon QCD Sum Rules
• Mass spectra of the heavy baryons Lambda_Q and Sigma_Q^(*) from QCD sum rules
• Scalar and vector self-energies of heavy baryons in nuclear medium
• Heavy baryon properties with NLO accuracy in perturbative QCD
• How tetraquarks can generate a second chiral phase transition
• Negative-parity nucleon excited state in nuclear matter
• QCD sum rules for the neutron, $\Sigma$, and $\Lambda$ in neutron matter
• Nucleon QCD sum rules in nuclear matter including radiative corrections

Cited by in corpus (9)

• Recent Progress in QCD Condensate Evaluations and Sum Rules
• Scattering of charmed baryons on nucleons
• Spin-isospin Kondo effects for ${\Sigma }_c$ and ${\Sigma }_c^{\ast }$ baryons and $\bar{D}$ and ${\bar{D}}^{\ast }$ mesons
• Magnetic moments of the octet, decuplet, low-lying charm, and low-lying bottom baryons in a nuclear medium
• Properties of ${\Sigma }_Q^{\ast }$, ${\Xi }_Q^{\ast }$ and ${\Omega }_Q^{\ast }$ heavy baryons in cold nuclear matter
• Predictions for charmed nuclei based on $Y_{c}N$ forces inferred from lattice QCD simulations
• Charmed baryons in nuclear matter
• Charmed hypernuclei within density-dependent relativistic mean-field theory
• Singly heavy baryons in nuclear matter from an SU(3) chiral soliton model