English

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

Nuclear Theory 2014-11-18 v1

Abstract

A three-body model of 14^{14}C+n+n is applied to study the energy spectrum and the hindered EE2 transition in 16^{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^{14}C potential chosen to reproduce the properties of 15^{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(E2B(E2; 21+01+)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^{15}C data. The correlated motion of the valence neutrons is displayed through the two-neutron density distribution.

Keywords

Cite

@article{arxiv.nucl-th/0601061,
  title  = {Structure of and E2 transition in $^{16}$C in a $^{14}$C+n+n model},
  author = {W. Horiuchi and Y. Suzuki},
  journal= {arXiv preprint arXiv:nucl-th/0601061},
  year   = {2014}
}

Comments

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