Calculation of The Nuclear Matter Density Distributions and Form Factors For The Ground State of P 12 PBe and P 14 PBe Nuclei

Abstract

The ground state charge, neutron and matter densities for two-neutron halo nuclei P
12
PBe
and P
14
PBe are calculated within a two- frequency shell model approach. In the description of
the halo nuclei it is important to take into account a model space for P
10
PBe and P
12
PBe different
from the two halo neutrons which have to be treated separately in order to explain their
properties. The structures of the halo P
12
PBe and P
14
PBe nuclei show that the dominant
configurations when the two halo neutrons distributed over the 1d shell orbits. Elastic
Coulomb scattering form factors of these two exotic nuclei are also studied through the
combination of the density distributions of the P
10
PBe, P
12
PBe core and the two halo neutrons.
The effects of the neutron halos on the electron scattering form factors are explored. The
form factors for the two exotic P
12
PBe and P
14
PBe nuclei are compared with those of the stable
P
9
PBe nuclei. It is found that the difference in the calculated charge form factors between halo
and stable nuclei is attributed mainly to the difference in the center of mass correction which
depends on the mass number and the size parameter (b).
PACS number(s): 25.30.Bf;21.60.Cs;21.10.Gv;27.20+n.