Effect of Weak Magnetism in the Semileptonic Decay of Hyperons

For the baryon semileptonic decay $B\to B^{\prime }+e+\overline{\nu }$, the correlation function among the spin of the final baryon and the momenta of the leptons is computed, assuming only first-class hadronic weak currents. The weak-magnetism term is found to enter the correlation function in the first order in $\frac{(m_B-m_{B^{\prime }})}{m_B}$ via interference with the vector and the axial-vector terms. The expression may be useful in the future experimental determination of the magnetic form factor for various hadronic weak currents.