Time-dependent analysis of the Coulomb breakup method for determining the astrophysical S factor

Physics – Nuclear Physics

Scientific paper

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Breakup And Momentum Distributions, Coulomb Excitation, Radiative Capture, Collocation Methods

Scientific paper

The time-dependent mesh method is applied to the calculation of the Coulomb breakup of a projectile into two charged fragments. The projectile is described in the potential model and its center of mass is assumed to follow a classical trajectory. The approach is compared with the first-order time-dependent perturbation approximation based on an electric dipole interaction under the same model assumptions. The numerical technique is applied to the 17F+208Pb-->16O+p+208Pb breakup in order to test the validity of the extraction of the E1 astrophysical S factor for the 16O(p,γ)17F radiative capture reaction to the 17F ground state. After carefully testing the validity of the numerical technique, we show that the accuracy of the astrophysical S factor extracted in such a way is better than 5% for projectile velocities above about 0.25c in large domains of impact parameters and relative energies between the fragments. Breakup cross sections are also calculated as a function of the relative energy between the fragments at different projectile velocities. A test calculation is performed for the breakup of the weakly bound 1/2+ excited state of 17F. A comparison is presented and discussed with the only existing experimental differential cross section at the projectile energy of 10 MeV/nucleon.

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