Study the Nuclear Form Factors of Low-Lying Excited States in $${}^{7}\hbox {Li}$$ Nucleus Using the Shell Model with Skyrme Effective Interaction

Abstract

In the present work, the Skyrme interaction with the core polarization calculations has been used and implemented to study the inelastic electroexcitation form factor for low-lying excited states in \({}^{7}\hbox {Li}\). In particular, the \(1/2^{-}\) (0.478 MeV) and \(7/2^{-}\) (4.630 MeV) states have been analyzed within the \(0\hbar \omega \) shell model including core-polarization effect. The present results reveal that the core-polarization calculation incorporating Skyrme type interaction for the single-particle states reproduces the longitudinal electron scattering data and predicts the diffraction minimum correctly and describes the high momentum data that has not been reported before. The measured \(B(C2{\uparrow })\) value for the \(1/2^{-}\) transition is very well described. The result of the \(7/2^{-}\) transition is close to the measured value. Transverse form factors are better described by the single-particle wave functions obtained from Hartree–Fock with Skyrme type interaction, rather than by the harmonic-oscillator wave functions.