Excited Heavy Baryons in the Bound State Picture

Abstract

The orbitally excited heavy quark baryons are studied in the Callan Klebanov bound state model with heavy spin symmetry. First, a compact description of the large $N_c$, infinite heavy quark mass bound state wavefunctions and the collective quantization is given. In order to study the kinematical corrections due to finite masses we motivate an approximate Schrodinger-like equation for the bound state. The effective potential in this equation is compared with the quadratic approximation (spherical harmonic oscillator) to it. This oscillator approximation is seen to be not very accurate. It is noted that the present experimental information cannot be even qualitatively understood with the usual light sector chiral Lagrangian containing only light pseudoscalar mesons. The addition of light vector mesons helps to overcome this problem.

LaTex, 23 pages, SU-4240-586/UCI-TR 94-38

References in corpus (14)

• Electromagnetic Interactions in Heavy Hadron Chiral Theory
• Light Vector Resonances in the Effective Chiral Lagrangian for Heavy Mesons
• The Baryon Isgur-Wise Function in the Large $N_c$ Limit
• Properties of Baryons Containing a Heavy Quark in the Skyrme Model
• Baryons Containing a Heavy Quark as Solitons
• Heavy Quark Symmetry and the Skyrme Model
• Hyperfine Splittings of Baryons Containing a Heavy Quark in the Skyrme Model
• Role of Light Vector Mesons in the Heavy Particle Chiral Lagrangian
• Heavy Baryons as Skyrmion with $1/m_Q$ Corrections
• Heavy Quark Solitons: Strangeness and Symmetry Breaking
• Excited ${\Lambda }_Q$ Baryons in the Large $N_c$ Limit
• Heavy Quark Solitons
• Hyperons in the Bound State Approach to the Nambu--Jona-Lasinio Chiral Soliton
• Nonabelian Berry Phases in Baryons

Cited by in corpus (11)

• A review of the open charm and open bottom systems
• $1/N_c$ Expansion for Excited Baryons
• Pentaquark Theta^+(1540) production in gamma N --> K Anti-K N
• Energy levels of the soliton--heavy-meson bound states
• Heavy Quark Solitons: Towards Realistic Masses
• Excited states of heavy baryons in the Skyrme model
• Generalization of the Bound State Model
• Hyperfine Splitting of Low-Lying Heavy Baryons
• Chiral partner structure of heavy baryons from the bound state approach with hidden local symmetry
• Heavy Quark Solitons in the Nambu--Jona-Lasinio Model
• Exotic Baryons in Chiral Soliton Models