Binding energies of near proton-drip line Z = 22–28 isotopes determined from measured isotopic cross section distributions

Abstract

A new method is proposed to determine the binding energy (B) of near proton-drip line isotopes from isotopic cross section distribution. To determine B of Z = 22–28 isotopes (with Tz = −2 and −5/2), the lack of cross sections for proton-rich isotopes in the 345A MeV 78Kr + 9Be is overcome by predicting the proton-rich isotopes from a newly discovered scaling phenomenon found in the proton-rich isotopes measured in the 140A MeV 40;48Ca(58;64Ni) + 9Be reactions. The cross sections for proton-rich isotopes are verified to exponentially depend on the average binding energy per nucleon, based on which B of the Z=22–28 isotopes with Tz = −2 and −5/2 are determined from cross sections. The determined B of the isotopes are justified from obeying the scaling phenomenon of the difference between the mass of mirror nuclei. The cross sections for the Z = 22–28 isotopes with Tz = −1 and −3/2, which in potential can be experimentally studied in mass storage ring, are also predicted.