Structure of and E2 transition in ${}^{16}$C in a ${}^{14}$C+n+n model

Abstract

A three-body model of ${}^{14}$C+n+n is applied to study the energy spectrum and the hindered $E$2 transition in ${}^{16}$C. A realistic two-nucleon potential is used for the valence neutrons. Both spin singlet and triplet components for the neutrons are taken into account. The three-body problem with a Pauli constraint is solved in a stochastic variational method. For the n-${}^{14}$C potential chosen to reproduce the properties of ${}^{15}$C, the low-lying energy spectrum agrees reasonably well with experiment, but the ground state is predicted to be about 1 MeV high. The calculated $B(E2$; $2_1^{+}\to 0_1^{+})$ value is about twice the measured value if the polarization charge of the valence neutrons is taken to be the same as that required to fit the ${}^{15}$C data. The correlated motion of the valence neutrons is displayed through the two-neutron density distribution.

7 pages, 3 figures, To be published in Physical Review C

References in corpus (2)

• Anomalously hindered E2 strength B(E2;2_1^+ -> 0^+) in 16C
• Deformation of C isotopes

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