Two-neutron halo nuclei in one dimension: dineutron correlation and breakup reaction

Abstract

We propose a simple schematic model for two-neutron halo nuclei. In this model, the two valence neutrons move in a one-dimensional mean field, interacting with each other via a density-dependent contact interaction. We first investigate the ground state properties, and demonstrate that the dineutron correlation can be realized with this simple model due to the admixture of even- and odd-parity single-particle states. We then solve the time-dependent two-particle Schrödinger equation under the influence of a time-dependent one-body external field, in order to discuss the effect of dineutron correlation on nuclear breakup processes. The time evolution of two-particle density shows that the dineutron correlation enhances the total breakup probability, especially for the two-neutron breakup process, in which both the valence neutrons are promoted to continuum scattering states. We find that the interaction between the two particles definitely favours a spatial correlation of the two outgoing particles, which are mainly emitted in the same direction.

17 pages, 11 figures

References in corpus (14)

• Spatial structure of neutron Cooper pair in low density uniform matter
• Measurement of two-halo neutron transfer reaction p(${}^{11}$Li,${}^9$Li)t at 3$A$ MeV
• Coexistence of BCS and BEC-like pair structures in halo nuclei
• Four-body continuum-discretized coupled-channels calculations using a transformed harmonic oscillator basis
• Roles of the tensor and pairing correlations on the halo formation in 11Li
• Four-body continuum-discretized coupled-channels calculations
• Generic strong coupling behavior of Cooper pairs in the surface of superfluid nuclei
• Geometry of Borromean Halo Nuclei
• Probing neutron correlations through nuclear break-up
• New description of four-body breakup reaction
• Dipole excitation and geometry of borromean nuclei
• Two-particle correlations in continuum dipole transitions in Borromean nuclei
• Di-neutron correlation in light neutron-rich nuclei
• Single Cooper pair transfer in stable and in exotic nuclei

Cited by in corpus (8)

• Correlated two-neutron emission in the decay of unbound nucleus 26O
• Time-dependent approach to many-particle tunneling in one-dimension
• Decay dynamics of the unbound ${}^{25}$O and ${}^{26}$O nuclei
• Pairing in the continuum: the quadrupole response of the Borromean nucleus 6He
• Two-neutron correlations in a Borromean ${}^{20}\mathrm{C}+n+n$ system: Sensitivity of unbound subsystems
• Competition between pairing and tripling in one-dimensional fermions with coexistent s- and p-wave interactions
• Mass-imbalance effect on the cluster formation in a one-dimensional Fermi gas with coexistent $s$- and $p$-wave interactions
• An overview of the scientific contribution of Andrea Vitturi to Nuclear Physics (being an account of the recent TNP19 meeting held in Padova)