The Baryon Isgur-Wise Function in the Large $N_c$ Limit

Details The Baryon Isgur-Wise Function in the Large $N_c$ Limit The Baryon Isgur-Wise Function in the Large $N_c$ Limit

1992-08-26

arxiv.org/abs/hep-ph/9208248v1

Nucl.Phys.B396:38-52,1993

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 0 figures, uses harvmac

Scientific paper

10.1016/0550-3213(93)90257-P

In the large $N_c$ limit, the $\Lambda_b$ and $\Lambda_c$ can be treated as bound states of chiral solitons and mesons containing a heavy quark. We show that the soliton and heavy meson are bound in an attractive harmonic oscillator potential. The Isgur-Wise function for $\Lambda_b\rightarrow\Lambda_c\, e^-\,\bar\nu_e$ decay is computed in the large $N_c$ limit. Corrections to the form factor which depend on $m_N/ m_Q$ can be summed exactly ($m_N$ and $m_Q$ are the nucleon and heavy quark masses). We find that this symmetry breaking correction at zero recoil is only $1\%$.

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