Relativistic dynamics of a scalar boson confined by Woods-Saxon potential in a nucleus

Abstract

We undertook a theoretical study of a scalar boson confined by Woods-Saxon potential in a nucleus via the Duffin-Kemmer-Petiau equation. We analytically obtained the eigenvectors and energy levels through the hypergeometric functions. Single-particle energy levels of a boson in the ${}^{208} {Pb}$ nucleus were calculated numerically.