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Predictions for cross sections of light proton-rich isotopes in the 40Ca + 9Be reaction

The cross sections for Z = 10 – 19 with isotopes Tz = −3/2 to −5 in the 140A MeV 40Ca + 9Be projectile fragmentation reaction have been predicted. An empirical formula based on the correlation between the cross section and average binding energy of an isotope has been adopted to predict the cross section. The binding energies in the AME16, WS4, and the theoretical prediction by the spherical relativistic continuum Hartree–Bogoliubov theory have been used. Meanwhile, the fracs parametrization and the modified statistical abrasion-ablation model are also used to predict the cross sections for the proton-rich isotopes. The predicted cross sections for the Tz = −3 isotopes are close to 10−10 mb, which hopefully can be studied experimentally. In addition, based on the predicted cross sections, Z = 14 is suggested to be a new magic number in the light proton-rich nuclei with Tz ⩽ −3/2, for which the phenomenon is much more evident than it is from the average binding energy per nucleon.