85 research outputs found
Formula for proton-nucleus reaction cross section at intermediate energies and its application
We construct a formula for proton-nucleus total reaction cross section as a
function of the mass and neutron excess of the target nucleus and the proton
incident energy. We deduce the dependence of the cross section on the mass
number and the proton incident energy from a simple argument involving the
proton optical depth within the framework of a black sphere approximation of
nuclei, while we describe the neutron excess dependence by introducing the
density derivative of the symmetry energy, L, on the basis of a radius formula
constructed from macroscopic nuclear models. We find that the cross section
formula can reproduce the energy dependence of the cross section measured for
stable nuclei without introducing any adjustable energy dependent parameter. We
finally discuss whether or not the reaction cross section is affected by an
extremely low density tail of the neutron distribution for halo nuclei.Comment: 7 pages, 4 figures, added reference
Determination of Matter Surface Distribution of Neutron-rich Nuclei
We demonstrate that the matter density distribution in the surface region is
determined well by the use of the relatively low-intensity beams that become
available at the upcoming radioactive beam facilities. Following the method
used in the analyses of electron scattering, we examine how well the density
distribution is determined in a model-independent way by generating pseudo data
and by carefully applying statistical and systematic error analyses. We also
study how the determination becomes deteriorated in the central region of the
density, as the quality of data decreases. Determination of the density
distributions of neutron-rich nuclei is performed by fixing parameters in the
basis functions to the neighboring stable nuclei. The procedure allows that the
knowledge of the density distributions of stable nuclei assists to strengthen
the determination of their unstable isotopes.Comment: 41 pages, latex, 27 figure
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