Nuclear radii calculations in various theoretical approaches for nucleus-nucleus interactions

Abstract

The information about sizes and nuclear density distributions in unstable (radioactive) nuclei is usually extracted from the data on interaction of radioactive nuclear beams with a nuclear target. We show that in the case of nucleus-nucleus collisions the values of the parameters depend somewhat strongly on the considered theoretical approach and on the assumption about the parametrization of the nuclear density distribution. The obtained values of root-mean-square radii (R rms ) for stable nuclei with atomic weights A = 12-40 vary by approximately 0.1 fm when calculated in the optical approximation, in the rigid target approximation, and using the exact expression of the Glauber theory. We present several examples of R rms radii calculations using these three theoretical approaches and compare these results with the data obtained from electron-nucleus scattering.

The Analytical Modeling of Nuclear Size Effect on Relativistic Electron in Hydrogen Atom

“…The root-mean-square nuclear matter radii 〈 2 〉 1/2 and the density distributions contain an important insight on nuclear potentials and nuclear wavefunctions [26][27][28][29][30][31]. However, several atomic properties depend directly on the wave function close to the nucleus.…”

Differential elastic nucleus-nucleus scattering in complete Glauber theory

“…The distribution (9) has been used with the value of the mean square radius R rms = 2.49 fm fitted from Monte-Carlo simulation of a 12 C -12 C collision in Ref. 14 The results of the calculations are presented in Fig. 1 The figure exhibits 2 maxima and 2 minima between them at the transferred momentum interval −t = 0.001 − 0.15GeV 2 (the point −t = 0 is excluded for the singular Coulomb contribution).…”

Monte Carlo eikonal scattering

“…M. Zadorozhnyj, V. V. Uzhinsky and S. Y. Shmakov [27] did perhaps the first application of eikonal Monte Carlo but no details are given. Merino, Novikov and Shabelski [28] very recently compared methods for radius extraction. One of the methods is exact with Monte Carlo using the Metropolis algorithm [29].…”