Nucleus-nucleus total reaction cross sections, and the nuclear interaction radius

作者：Abu Ibrahim Badawy^*

来源：Physical Review C, 2011, 83(4): 044615.

DOI：10.1103/PhysRevC.83.044615

We study the nucleus-nucleus total reaction cross sections for stable nuclei, in the energy region from 30AMeV to about 1A GeV, and find them to be in proportion to (root sigma(tot)(pp)Z(1)(2/3) + sigma(tot)(pn)N(1)(2/3) + root sigma(tot)(pn)Z(2)(2/3) + sigma(tot)(pn)N(2)(2/3))(2) in the mass range 8 to 100. Also, we find a parameter-free relation that enables us to predict a total reaction cross section for any nucleus-nucleus within 10% uncertainty at most, using the experimental value of the total reaction cross section of a given nucleus-nucleus. The power of the relation is demonstrated by several examples. The energy dependence of the nuclear interaction radius is deduced; it is found to be almost constant in the energy range from about 200A MeV to about 1A GeV; in this energy range and for nuclei with N = Z, R(I) (A) = (1.14 +/- 0.02) A(1/3) fm.

• 出版日期2011-4-25