Three-body model calculations for 16C nucleus

Abstract

We apply a three-body model consisting of two valence neutrons and the core nucleus ${}^{14}$C in order to investigate the ground state properties and the electronic quadrupole transition of the ${}^{16}$C nucleus. The discretized continuum spectrum within a large box is taken into account by using a single-particle basis obtained from a Woods-Saxon potential. The calculated B(E2) value from the first 2${}^{+}$ state to the ground state shows good agreement with the observed data with the core polarization charge which reproduces the experimental B(E2) value for ${}^{15}$C. We also show that the present calculation well accounts for the longitudinal momentum distribution of ${}^{15}$C fragment from the breakup of ${}^{16}$C nucleus. We point out that the dominant ($d_{5/2}{)}^2$ configuration in the ground state of ${}^{16}$C plays a crucial role for these agreement.

5 pages, 3 figures, 3 tables

References in corpus (8)

• Pairing correlations in nuclei on the neutron-drip line
• Breakup reactions of the halo nuclei Be11 and B8
• Continuum Linear Response in Coordinate Space Hartree-Fock-Bogoliubov Formalism for Collective Excitations in Drip-line Nuclei
• Anomalously hindered E2 strength B(E2;2_1^+ -> 0^+) in 16C
• Momentum distributions in stripping reactions of radioactive projectiles at intermediate energies
• MOMDIS: a Glauber model computer code for knockout reactions
• Deformation of C isotopes
• Structure of and E2 transition in ${}^{16}$C in a ${}^{14}$C+n+n model

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• Dependence of two-proton radioactivity on nuclear pairing models
• Microscopic shell-model description of the exotic nucleus ^{16}C
• Cooper pair sizes in 11Li and in superfluid nuclei: a puzzle?
• Fusion reaction of a weakly-bound nucleus with a deformed target
• Magnetic dipole excitation and its sum rule in nuclei with two valence nucleons
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