The neutron halo structure of $$^{14}\hbox {B}$$ 14 B , $$^{22}\hbox {N}$$ 22 N , $$^{23}\hbox {O}$$ 23 O
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The neutron halo structure of 14 B, 22 N, 23 O and 24 F nuclei studied via the generalised Woods–Saxon potential AHMED N ABDULLAH Department of Physics, College of Science, University of Baghdad, Baghdad, Iraq E-mail: [email protected] MS received 2 April 2020; revised 24 May 2020; accepted 6 July 2020 Abstract. The radial wave functions of the generalised Woods–Saxon (GWS) potential within the two-body model of (Core + n) have been used to study the ground-state density distributions of protons, neutrons and matter and the associated root mean square (rms) radii of neutron-rich 14 B, 22 N, 23 O and 24 F halo nuclei. The calculated results show that the radial wave functions of the generalised Woods–Saxon potential within the two-body model succeed in reproducing neutron halo in these exotic nuclei. Elastic electron scattering form factors for these nuclei are studied by combining the charge density distributions with the plane-wave Born approximation (PWBA). Keywords. Generalised Woods–Saxon potential; two-body model; one-neutron halo nuclei. PACS Nos 21.10.Gv; 25.30.Bf
1. Introduction The development of experiments using radioactive nuclear beams allowed us to study nuclei far from the valley of stability, which led to the discovery of halo phenomena [1,2]. Halo phenomenon is a quantum effect arises as a result of the combined impact of small binding energy of the valence particle(s) and their low angular momentum (l = 0, 1) [3]. The experiments with exotic (halo) nuclei are challenging because specific techniques are required due to the low intensity with which the nuclei are produced and their short lifetime. It is impossible to make short-lived nuclei as targets. Therefore, the experiments must be performed in inverse kinematics. In this case a beam of radioactive nuclei is produced and it interacts with a stable target [4]. The charge and nuclear matter distributions as well as the root mean square (rms) radii of nuclear matter give important insights on nuclear wave functions and nuclear potentials. The matter density distributions and radii of the halo nuclei have been studied by measuring the reaction and interaction cross-sections. The relation between the nuclear density distribution and the total reaction cross-section is studied using the Glauber model [5]. Abdullah [6] has investigated ground-state properties such as the binding energy per nucleon, the ground-state densities and the corresponding rms radii 0123456789().: V,-vol
of two-neutron 6 He, 11 Li, 12 Be and 14 Be halo nuclei using MSK7 parameter within the Skyrme–Hartree– Fock (SHF) method. Tanaka et al [7] have used Glaubertype calculation to measure the reaction cross-sections for 14 B and 8 He on proton target. They have also deduced the nucleon density distributions and the rms proton, neutron and matter radii of these nuclei. Each radius was consistent with some of the several theoretical values and also with some of the other experimental values. Abdullah [8] has used the SKxs25 parameters within t
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