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 Schrödinger equation with the Woods–Saxon potential. The parallel momentum distribution (P_//) 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_v²/R_c² on the full width at half maximum of the parallel momentum distribution (FWHM_P//). R_v²/R_c² is a measure of the exotic extent of the nuclear halo. Based on the obtained scaling law, FWHM_P// can be used as an experimental observable to extract R_v²/R_c² and measure the exotic extent for the nuclear halo.