Scaling property in one-nucleon removal reactions induced by exotic nuclei

Assuming a core plus valence nucleon structure, one-nucleon removal reaction is investigated within the framework of few-body Glauber theory. Fermi-type distribution is used for the core density, while the wavefunction of the valence nucleon is calculated by solving the single particle eigenvalue problem of the Schrodinger equation with the Woods-Saxon potential. The parallel momentum distribution (P(parallel to)) of the fragments is calculated for isotopes with 3 < Z < 18. A remarkable scaling property is observed from the dependence of the dimensionless quantity R(v)(2)/R(c)(2) on the full width at half maximum of the parallel momentum distribution (FWHM(P parallel to)). R(v)(2)/R(c)(2) is a measure of the exotic extent of the nuclear halo. Based on the obtained scaling law, FWHM(P parallel to) can be used as an experimental observable to extract R(v)(2)/R(c)(2) and measure the exotic extent for the nuclear halo.