Isotopic analysis of 295 MeV proton scattering off 204,206,208Pb for improvement of neutron densities and radii
Abstract
A new method of reaction analysis for proton elastic scattering is proposed, combining systematic analyses of nuclear structure and reactions in a series of isotopes. This method is applied to 204Pb(p,p), 206Pb(p,p), and 208Pb(p,p) at Ep=295 MeV to obtain improved neutron densities and radii from experimental cross section data. The reaction calculation is performed according to the relativistic impulse approximation using the modified Murdock and Horowitz model with density-dependent effective NN interaction. Analysis of Pb isotopes is performed using theoretical densities given by the relativistic Hartree-Bogoliubov and nonrelativistic Skyrme Hartree-Fock-Bogoliubov calculations and the experimental density extracted from the (p,p) data at 295 MeV. The isotopic ratios (R(σ)) of the APb(p,p)-to-206Pb(p,p) cross sections are analyzed in connection with the isotopic differences (D(n) and D(rn)) in neutron densities (n(r)) and radii (rn) between APb and 208Pb. A hole-model analysis is performed, assuming 204Pb and 206Pb as a 208Pb core and neutron holes to clarify the one-to-one correspondence between isotopic structure properties such as D(n) and D(rn) and the isotopic cross-section ratio. By fitting R(σ), the values of D(n) and D(rn) are extracted from the experimental (p,p) cross section data with less uncertainty of the structure and reaction models. The isotopic neutron radius difference between 206Pb and 208Pb was obtained as D(rn)=-0.012 fm with an acceptable range of D(rn)=-0.03 -0.006 fm.
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