4. Consider a 1-D head-on collision between a 5-MeV alpha particle and a Be nucleus. As shown in the figure below, assuming that the Coulomb potential barrier faced by the alpha particle can be approximated by a single step functions with 2 fm in thickness and 7 MeV in height and that the formula of barrier transmission probability derived from 1- D Schröedinger equation is valid, calculate: (a) the probability for the alpha particle to penetrate the Coulomb barrier and enter the Be nucleus, and (b) the de Broglie wavelength of the alpha particle once it enters the nucleus. V1 = 7 MeV 5-MeV alpha particle Vo = 0 MeV (i.e. the reference potential outside the Be nucleus) V2 = - 6 MeV (i.e. the potential inside the Be nucleus)

4. Consider a 1-D head-on collision between a 5-MeV alpha particle and a Be nucleus. As shown in the figure below, assuming that the Coulomb potential barrier faced by the alpha particle can be approximated by a single step functions with 2 fm in thickness and 7 MeV in height and that the formula of barrier transmission probability derived from 1- D Schröedinger equation is valid, calculate: (a) the probability for the alpha particle to penetrate the Coulomb barrier and enter the Be nucleus, and (b) the de Broglie wavelength of the alpha particle once it enters the nucleus. V1 = 7 MeV 5-MeV alpha particle Vo = 0 MeV (i.e. the reference potential outside the Be nucleus) V2 = - 6 MeV (i.e. the potential inside the Be nucleus)