Hidden Structure in a Lagrangian for Hyperfine Splitting of the Heavy Baryons

Abstract

We investigate the hyperfine splitting of the heavy baryons in the bound-state approach. We start with an ordinary relativistic Lagrangian which has been extensively used to discuss finite mass corrections to the heavy limit predictions. It turns out that the dominant contribution arises from terms which do not manifestly break the heavy spin symmetry. The actual heavy spin violating terms are uncovered by carefully performing a 1/M expansion of this Lagrangian.

Many typographical errors due to an inadvertent macro command are corrected. 10 pages (LaTeX), 2 PostScript figures

References in corpus (10)

• Baryons as Three Flavor Solitons
• Heavy Quark Symmetry and the Skyrme Model
• Heavy-Quark Symmetry and Skyrmions
• Heavy Quark Solitons: Towards Realistic Masses
• Energy levels of the soliton--heavy-meson bound states
• Heavy Baryons as Skyrmion with $1/m_Q$ Corrections
• Heavy Quark Solitons: Strangeness and Symmetry Breaking
• Excited states of heavy baryons in the Skyrme model
• Heavy meson effective thoery with 1/M_Q correction
• Hyperons in the Bound State Approach to the Nambu--Jona-Lasinio Chiral Soliton

Cited by in corpus (5)

• Magnetic Moments of Baryons with a Single Heavy Quark
• Generalization of the Bound State Model
• Solitons Bound to Heavy Mesons
• Hyperfine Splitting of Low-Lying Heavy Baryons
• Pion-Pion Scattering in Two Dimensions