Light-cone distribution amplitudes of the nucleon and ∆ baryon

We investigate the light-cone wave functions and leading-twist distribution amplitudes for the nucleon and ∆ baryon within the framework of the chiral quark-soliton model. The baryon wave function consists of the valence quark and vacuum wave functions. The vacuum wave functions generate all possible higher Fock states by expanding them. We find that it is essential to consider the five-quark component and relativistic corrections to evaluate the distribution amplitudes of the nucleon and ∆ isobar. Having taken into account them, we derive the distribution amplitudes. The results are in good agreement with the lattice data.

Semileptonic transition of $$\varLambda _{b}$$ baryon

The semileptonic transition of $$\varLambda _b$$ Λ b baryon is studied using the Hypercentral constituent quark model. The six-dimensional hyperradial $$Schr\ddot{o}dinger$$ S c h r o ¨ d i n g e r equation is solved in the variational approach to get masses and wavefunctions of heavy baryons. The matrix elements of weak decay are written in terms of the overlap integrals of the baryon wave function. The Isgur-Wise function is determined to calculate exclusive semileptonic decay $$\varLambda _b$$ Λ b $$\rightarrow $$ → $$\varLambda _c$$ Λ c $$\ell $$ ℓ $${\bar{\nu }}$$ ν ¯ . The calculated decay rate and the branching ratio of $$\varLambda _b$$ Λ b baryon are consistent with other theoretical predictions and with the available experimental observations.