English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

A new method of reaction analysis for proton elastic scattering is proposed,combining systematic analyses of nuclear structure and reactions in a series ofisotopes. This method is applied to $^{204}$Pb$(p,p)$, $^{206}$Pb$(p,p)$, and$^{208}$Pb$(p,p)$ at $E_p=295$ MeV to obtain improved neutron densities andradii from experimental cross section data. The reaction calculation isperformed according to the relativistic impulse approximation using themodified Murdock and Horowitz model with density-dependent effective $NN$interaction. Analysis of Pb isotopes is performed using theoretical densitiesgiven by the relativistic Hartree-Bogoliubov and nonrelativistic SkyrmeHartree-Fock-Bogoliubov calculations and the experimental density extractedfrom the $(p,p)$ data at 295 MeV. The isotopic ratios ($R(\sigma)$) of the$^{A}$Pb$(p,p)$-to-$^{206}$Pb$(p,p)$ cross sections are analyzed in connectionwith the isotopic differences ($D(\rho_n)$ and $D(r_n)$) in neutron densities$(\rho_n(r))$ and radii $(r_n)$ between $^A$Pb and $^{208}$Pb. A hole-modelanalysis is performed, assuming $^{204}$Pb and $^{206}$Pb as a $^{208}$Pb coreand neutron holes to clarify the one-to-one correspondence between isotopicstructure properties such as $D(\rho_n)$ and $D(r_n)$ and the isotopiccross-section ratio. By fitting $R(\sigma)$, the values of $D(\rho_n)$ and$D(r_n)$ are extracted from the experimental $(p,p)$ cross section data withless uncertainty of the structure and reaction models. The isotopic neutronradius difference between $^{206}$Pb and $^{208}$Pb was obtained as$D(r_n)=-0.012$ fm with an acceptable range of $D(r_n)=-0.03 \sim -0.006$ fm.

Isotopic analysis of 295 MeV proton scattering off $^{204,206,208}$Pb for improvement of neutron densities and radii