$1/m_Q$ and $1/N_c$ Expansions for Excited Heavy Baryons with Light Quarks in the Spin-Flavor Symmetric Representation

Abstract

The mass spectrum of the L=1 orbitally excited heavy baryons with light quarks in the spin-flavor symmetric representation is studied by the $1/N_c$ expansion method in the framework of the heavy quark effective theory. The mixing effect from the baryons in the mixed representation is considered. The general pattern of the spectrum is predicted which will be verified by the experiments in the near future. The $1/m_Q$ and SU(3) corrections are also considered. Mass relations for the baryons ${\Lambda }_{c1}^{(\ast )}$, ${\Sigma }_{c1}^{(\ast )}$, ${\Xi }_{c1}^{{(}^{\prime })(\ast )}$, and ${\Omega }_{c1}^{(\ast )}$ are derived.

13 pages, revTex, no figure, to appear in PRD, Liu's above address corrected

References in corpus (4)

• Evidence of New States Decaying into ${\Xi }_c^{\ast }\pi$
• Strong and electromagnetic decays of p-wave heavy baryons ${\Lambda }_{c1},{\Lambda }_{c1}^{\ast }$
• QCD sum rule analysis of excited ${\Lambda }_c$ mass parameter
• Symmetries of Excited Heavy Baryons In The Heavy Quark And Large N_c Limit

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• Charm and bottom baryon masses in the combined $1/N_c$ and $1/m_Q$ expansion versus quark model
• Positive parity pentaquark towers in large Nc QCD
• Combined heavy-quark symmetry and large-$N_c$ operator analysis for 2-body counterterms in the chiral Lagrangian with $D$ mesons and charmed baryons