Factorization of Charge and Nuclear Formfactors for Clusterized Nuclei

Abstract

We considered folded formfactors for the clusterized light nuclei. Having assumed a gaussian form for the alpha-particle formfactor, charge and nuclear formfactors were factorized in two parts: one for alpha-particle and another one for the alpha-particle distribution in the nucleus. Applications to electron and heavy ion scattering are considered. IntroductionIn the past years experimental technique like the one with inverse geometry [1] provided a new information on the excitation functions, as well as on spin and parity assignments. Previously elastic scattering of electrons as projectiles has been used to study the charge density distributions and charge radii. On the other hand, heavy ions were used to investigate nuclear matter and potential generating wave functions in the elastic channel. Today we know well that light nuclei up to calcium have a cluster structure, namely alpha-particle structure. At certain conditions the scattering amplitude can be expressed through the formfactor. In the case of electrons it is a charge formfactor, while in case of heavy ions it is a nuclear formfactor. In both cases these formfactors in the case of cluster structure can be factorized as two multipliers: one for distribution of clusters in nuclei and the second for the cluster formfactor by itself. Charge formfactorsConsidering high energy electrons as a probe it is worth noting previous attempts to extract information about cluster structure [2]. The role of cluster configurations in the nucleus was investigated in [3]