Abstract

The Resonant Elastic Scattering (RES) method has been used at GANIL with Radioactive Ions Beams (RIB) in order to study important unbound states. Three examples of studies are given: the first one is related to the important astrophysical reaction 18 F(p,α)15 O, the second one to the two-proton radioactivity of 19 Mg, and the third one to the prediction of the existence of a narrow state in the unbound nucleus 15 F. The three experiments have benefited from high quality radioactive beams produced by the Spiral Facility.

Highlights

  • A century ago, Marsden, Geiger, Rutherford and colleagues measured for the first time the scattering of alpha particles on a thin foil of gold

  • The incident alpha particles have a very low energy compared to the Coulomb barrier

  • The differential cross section of the Coulomb scattering can be calculated using the Rutherford formula. It shows that the elastic scattering cross section decreases as E−2 when the energy increases

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Summary

Introduction

A century ago, Marsden, Geiger, Rutherford and colleagues measured for the first time the scattering of alpha particles on a thin foil of gold. This famous experiment allowed them to understand the structure of the atom, in particular the presence of a heavy nucleus in the heart of the atom. In experiments that followed this first experience, sometimes the measured cross sections deviated from the values calculated with the Rutherford formula, especially for light nuclei This might seem mysterious since in these experiments the energy of alpha particles was below the Coulomb barrier. The interest of using such kind of measurement to study the spectroscopy of unbound states is manifest: this measurement is simple, it gives pertinent properties of the states, and the cross sections are often high, these are essential conditions when dealing with RIB [2]

Three examples of RES experiments performed at GANIL
Two-proton radioactivity of 19Mg
Findings
The existence of a narrow state in 15F

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