Glauber Model Analysis for the $$^{22}$$C Nuclear Radius

Nagahisa, T.; Horiuchi, W.

doi:10.1007/978-3-030-32357-8_36

Cited by 1 publication

(1 citation statement)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Evaluation of e iχ(b) is in general difficult because it involves multiple integration [19]. Though it could be possible to perform the integration by using a Monte Carlo technique [24,25] or a factorization procedure by using a Slater determinant wave function [26][27][28][29], we, however, employ the optical-limit approximation (OLA) for the sake of simplicity. The phase-shift function of the OLA is given as the leading order of the cumulant expansion of the full phase-shift function [19,30]…”

Section: Elastic Scattering Differential Cross Section In the Glauber...mentioning

confidence: 99%

Nuclear surface diffuseness revealed in nucleon-nucleus diffraction

2018

Self Cite

View full text Add to dashboard Cite

The nuclear surface provides useful information on nuclear radius, nuclear structure, as well as properties of nuclear matter. We discuss the relationship between the nuclear surface diffuseness and elastic scattering differential cross section at the first diffraction peak of high-energy nucleon-nucleus scattering as an efficient tool in order to extract the nuclear surface information from limited experimental data involving short-lived unstable nuclei. The high-energy reaction is described by a reliable microscopic reaction theory, the Glauber model. Extending the idea of the black sphere model, we find one-to-one correspondence between the nuclear bulk structure information and proton-nucleus elastic scattering diffraction peak. This implies that we can extract both the nuclear radius and diffuseness simultaneously, using the position of the first diffraction peak and its magnitude of the elastic scattering differential cross section. We confirm the reliability of this approach by using realistic density distributions obtained by a mean-field model.

show abstract