Longitudinal form factor of isoscalar particle-hole states in $^{16}O$ , $^{12}C$ and $^{40}Ca$ with M3Y interaction

Özet

Longitudinal form factors of the low-lying, T = 0, particle-hole states of $^{16}O$, $^{12}C$ and $^{40}Ca$ are studied in the framework of Random Phase Approximation RPA. The basis of single particle states is considered to include 0s, 0p, 1s-0d and 0f-1p. The Hamiltonion is diagonalized in the presence of Michigan threerang Yakawa (M3Y) interaction and compared with our previous results depend on Modified Surface Delta Interaction MSDI interaction. Admixture of higher configuration up to 2p-1f is considered for the ground state. Effective charges are used to account for the core polarization effect. Comparisons are made to experimental data where available and the theoretical significance of the calculation and its results is discussed.