Description of the ${}^{11}$Li$(p,d){}^{10}$Li transfer reaction using structure overlaps from a full three-body model

Abstract

Recent data on the differential angular distribution for the transfer reaction ${}^{11}$Li(p,d)${}^{10}$Li at $E/A=5.7$ MeV in inverse kinematics are analysed within the DWBA reaction framework, using the overlap functions calculated within a three-body model of ${}^{11}$Li. The weight of the different ${}^{10}$Li configurations in the system's ground state is obtained from the structure calculations unambiguously. The effect of the ${}^9$Li spin in the calculated observables is also investigated. We find that, although all the considered models succeed in reproducing the shape of the data, the magnitude is very sensitive to the content of $p_{1/2}$ wave in the ${}^{11}$Li ground-state wave function. Among the considered models, the best agreement with the data is obtained when the ${}^{11}$Li ground state contains a $\sim$31\% of $p_{1/2}$ wave in the $n$-${}^9$Li subsystem. Although this model takes into account explicitly the splitting of the $1^{+}$ and $2^{+}$ resonances due to the coupling of the $p_{1/2}$ wave to the $3/2^{-}$ spin of the core, a similar degree of agreement can be achieved with a model in which the ${}^9$Li spin is ignored, provided that it contains a similar p-wave content.

8 pages, 3 figures. Final version

References in corpus (4)

• First Penning-trap mass measurement in the millisecond half-life range: the exotic halo nucleus 11Li
• Roles of the tensor and pairing correlations on the halo formation in 11Li
• Three-body continuum discretization in a basis of transformed harmonic oscillator states
• Coulomb breakup reactions of ${}^{11}$Li in the coupled-channel ${}^9$Li~+~$n$~+~$n$ three-body model

Cited by in corpus (15)

• Effective field theory description of halo nuclei
• Electric dipole response of low-lying excitations in the two-neutron halo nucleus ${}^{29}$F
• Experimental study of intruder components in light neutron-rich nuclei via single-nucleon transfer reaction
• Two-nucleon emitters within a pseudostate method: The case of ${}^6$Be and ${}^{16}$Be
• Structure of 13Be probed via quasi-free scattering
• Linking structure and dynamics in $(p,pn)$ reactions with Borromean nuclei: the ${}^{11}$Li$(p,pn){}^{10}$Li case
• Three-body structure of ${}^{19}$B: Finite-range effects in two-neutron halo nuclei
• Investigating the 10Li continuum through 9Li(d,p)10Li reactions
• Opening angle and dineutron correlations in knockout reactions with Borromean two-neutron halo nuclei
• Few-body structures in the mirror nuclei, ${}^{11}$O and ${}^{11}$Li
• The 9Li(d,p) reaction, a specific probe of 10Li, paradigm of parity--inverted nuclei around N=6 closed shell
• Pygmy resonances: what's in a name?
• Exploring continuum structures in reactions with three-body nuclei
• Impact of uncertainties of unbound ${}^{10}$Li on the ground state of two-neutron halo ${}^{11}$Li
• Reaction Theory and Advanced CDCC