Coulomb breakup reactions of ${}^{11}$Li in the coupled-channel ${}^9$Li~+~$n$~+~$n$ three-body model

Abstract

We investigate the three-body Coulomb breakup of a two-neutron halo nucleus ${}^{11}$Li. We use the coupled-channel ${}^9$Li + $n$ + $n$ three-body model, which includes the coupling between last neutron states and the various $2p$-$2h$ configurations in ${}^9$Li due to the tensor and pairing correlations. The three-body scattering states of ${}^{11}$Li are described by using the combined methods of the complex scaling and the Lippmann-Schwinger equation. The calculated breakup cross section successfully reproduces the experiments. The large mixing of the s-state in the halo ground state of ${}^{11}$Li is shown to play an important role in explanation of shape and strength of the breakup cross section. In addition, we predict the invariant mass spectra for binary subsystems of ${}^{11}$Li. It is found that the two kinds of virtual s-states of ${}^9$Li-$n$ and $n$-$n$ systems in the final three-body states of ${}^{11}$Li largely contribute to make low-lying peaks in the invariant mass spectra. On the other hand, in the present analysis, it is suggested that the contributions of the p-wave resonances of ${}^{10}$Li is hardly confirmed in the spectra.

26 pages, 11 figures, 2 tables, submitted to Phys. Rev. C

References in corpus (7)

• Recent developments in no-core shell-model calculations
• Roles of the tensor and pairing correlations on the halo formation in 11Li
• Tensor-optimized shell model with bare nucleon-nucleon interaction for 4He
• Charge radius and dipole response of ${}^{11}$Li
• Di-neutron clustering and deuteron-like tensor correlation in nuclear structure focusing on 11Li
• Systematic study of ${}^{9,10,11}$Li with the tensor and pairing correlations
• Two-particle correlations in continuum dipole transitions in Borromean nuclei

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• Mirror symmetry breaking in He isotopes and their mirror nuclei
• Opening angle and dineutron correlations in knockout reactions with Borromean two-neutron halo nuclei
• Modeling the electric dipole strength of neutron-rich ${}^8$He: Prediction of multineutron collective excitations
• Soft dipole resonance in neutron-rich ${}^8$He
• Final-state interactions and spin structure in $E1$ breakup of ${}^{1}1$Li in Halo EFT
• Physics of many-body resonances with complex scaling and applications to light unstable nuclei