Nuclear Radii of Unstable Nuclei

Abstract

In the presented review we discuss the problem of extraction the parameters of nuclear matter and charge distribution in stable and unstable isotopes. A substantial amount of information on the nuclear radii and other distribution parameters in light exotic nuclei has been obtained from experiments on intermediate-energy nucleus-nucleus collisions. The analyses of these experiments is usually performed with the help of the Glauber Theory. We review the main assumptions the Glauber Theory and show how this theoretical approach is used to calculate reaction and interaction cross sections. We also show how radii of nuclear matter can be obtained from the analysis of the experimental data on reaction cross sections. In the provided analysis reaction cross sections were calculated in optical and rigid approximations of the Glauber Theory as well as using explicit expressions. Numerical calculations of Glauber's explicit expressions for reaction cross sections were done using Monte Carlo technique. Recent results of the precise measurements of charge radii of light exotic nuclei which were done using the laser-spectroscopy technique as well as the method of the investigation of the nuclear matter distributions in proton elastic scattering experiments in inverse kinematics are also discussed.

56 pages, 13 figure, to be published in International Journal of Modern Physics E

References in corpus (16)

• Nuclear Charge Radius of Li-9, Li-11: Halo Neutron: the influence of Halo Neutrons
• Nuclear Charge Radii of Be-7,9,10 and the one-neutron halo nucleus Be-11
• Laser Spectroscopic Determination of the 6He Nuclear Charge Radius
• First Penning-trap mass measurement in the millisecond half-life range: the exotic halo nucleus 11Li
• Relativistic, QED, and finite nuclear mass corrections for low-lying states of Li and Be${}^{+}$
• The Glauber model and the heavy ion reaction cross section
• Radii in weakly-bound light halo nuclei
• Charge radii and electromagnetic moments of Li and Be isotopes from the ab initio no-core shell model
• Monte Carlo integration in Glauber model analysis of reactions of halo nuclei
• Geometry of Borromean Halo Nuclei
• Charge radius and dipole response of ${}^{11}$Li
• Reaction models to probe the structure of light exotic nuclei
• Dipole excitation and geometry of borromean nuclei
• Reaction cross section described by a black sphere approximation of nuclei
• Difference between interaction cross sections and reaction cross sections
• A doorway to Borromean halo nuclei: the Samba configuration

Cited by in corpus (7)

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• Possible bound nuclei beyond the two-neutron drip line in the $50⩽Z⩽70$ region
• Multipole expansion of densities in the deformed relativistic Hartree-Bogoliubov theory in continuum
• The Glauber model and heavy ion reaction and elastic scattering cross sections
• Radii of proton emitters
• Empirical Parameterization of Nucleon-Nucleon Elastic Scattering Amplitude at High Beam Momenta for Glauber Calculations and Monte Carlo Simulations
• High energy nucleus-nucleus collision and halo radii in different approaches of Glauber theory