Abstract
In this paper, the baryonic wave function has been obtained with the Cornell potential, a combination of linear and Coulomb terms, using the hyper-radial Schrödinger equation and an improved variational method while on the other hand, hyperfine interactions are considered, including smeared standard hyperfine term, isospin dependent and spin–isospin dependent terms in order to improve the results. Then, the baryonic Isgur–Wise function in hyperspherical coordinates has been investigated employing both mentioned wave functions. Finally, in particular, the charged radius and the decay width of transition have been reported for both methods and compared with those obtained in experiments or theories.
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