Elastic Electron Scattering From Unstable Neutron-Rich P19PC Exotic Nucleus

Abstract

The ground state proton, neutron, and matter density distributions and corresponding root-mean-square (rms) of P19PC exotic nucleus are studied in terms of two-frequency shell model (TFSM) approach. The single-particle wave functions of harmonic-oscillator (HO) potential are used with two different oscillator parameters bRcoreR and bRhaloR. According to this model, the core nucleons of P18PC nucleus are assumed to move in the model space of spsdpf. The shell model calculations are carried out for core nucleons with w)20(+ truncations using the realistic WBP
interaction. The outer (halo) neutron in P
19
PC is assumed to move in the pure 2sR1/2R-
orbit. The halo structure in P
19
PC is confirmed with 2sR1/2R-dominant configuration.
Elastic electron scattering form factor of P
19
PC nucleus is also investigated by means
of the Plane Wave Born approximation. The effect of the long tail behavior (found
in the calculated matter density distribution) on the elastic form factor of P
19
PC is
studied. The calculated matter densities and form factors of stable P
13
PC and unstable
P
19
PC are compared. It is found that the difference between the nucleon form factors of
P
13
PC and P
19
PC nuclei is attributed to the difference presented in the matter densities of
these nuclei. Hence the difference in the matter densities of P
19
PC and P
13
PC nuclei
mainly comes from the neutron skin of the core P
18
PC and from the difference in the
neutron density distribution of the last one neutron in both P
19
PC and P
13
PC nuclei. It is
found that elastic electron scattering from exotic nuclei can provide predictions for
the near future experiments on the electron-radioactive beam colliders where the
effect of the neutron halo or skin on the charge distributions is planned to be studied.
PACS number(s): 25.60.Dz, 21.10.Gv, 27.30.+t, 13.14.Gp.