Exploring two-neutron halo formation in the ground-state of ${}^{29}$F within a three-body model

Abstract

Background$:$ The ${}^{29}$F system is located at the lower-N boundary of the "island of inversion" and is an exotic, weakly bound system. Little is known about this system beyond its two-neutron separation energy ($S_{2n}$) with large uncertainties. A similar situation is found for the low-lying spectrum of its unbound binary subsystem ${}^{28}$F. Purpose$:$ To investigate the configuration mixing, matter radius and neutron-neutron correlations in the ground state of ${}^{29}$F within a three-body model, exploring the possibility of ${}^{29}$F to be a two-neutron halo nucleus. Method$:$ The ${}^{29}$F ground-state wave function is built within the hyperspherical formalism by using an analytical transformed harmonic oscillator basis. The Gogny-Pires-Tourreil (GPT) nn interaction with central, spin-orbit and tensor terms is employed in the present calculations, together with different core$+n$ potentials constrained by the available experimental information on ${}^{28}$F. Results$:$ The ${}^{29}$F ground-state configuration mixing and its matter radius are computed for different choices of the ${}^{28}$F structure and $S_{2n}$ value. The admixture of d-waves with pf components are found to play an important role, favoring the dominance of dineutron configurations in the wave function. Our computed radii show a mild sensitivity to the ${}^{27}$F$+n$ potential and $S_{2n}$ values. The relative increase of the matter radius with respect to the ${}^{27}$F core lies in the range 0.1-0.4 fm depending upon these choices. Conclusions$:$ Our three-body results for ${}^{29}$F indicate the presence of a moderate halo structure in its ground state, which is enhanced by larger intruder components. This finding calls for an experimental confirmation.

arXiv comment8 pages, 4 figures, Final version

References in corpus (19)

• Nuclear magic numbers: new features far from stability
• Pairing correlations in nuclei on the neutron-drip line
• Onset of intruder ground state in exotic Na isotopes and evolution of the N=20 shell gap
• Direct mass measurements of 19B, 22C, 29F, 31Ne, 34Na and other light exotic nuclei
• ${}^{22}$C: $S$-Wave Two-Neutron Halo
• FaCE: a tool for Three Body Faddeev calculations with core excitation
• Probing the weakly-bound neutron orbit of ${}^{31}$Ne with total reaction and one-neutron removal cross sections
• The Pauli principle in a three-body cluster model and the momentum distributions after fragmentation of 6He and 11Li
• Three-body continuum discretization in a basis of transformed harmonic oscillator states
• Relative production rates of ${}^6$He, ${}^9$Be, ${}^{12}$C in astrophysical environments
• Analytical transformed harmonic oscillator basis for three-body nuclei of astrophysical interest: Application to 6He
• Three-body Thomas-Ehrman shifts of analog states of ${}^{17}$Ne and ${}^{17}$N
• Exploring the Low-$Z$ Shore of the Island of Inversion at $N=19$
• Spectroscopy of neutron-unbound ${}^{27,28}$F
• Decay dynamics of the unbound ${}^{25}$O and ${}^{26}$O nuclei
• Two-nucleon emitters within a pseudostate method: The case of ${}^6$Be and ${}^{16}$Be
• Structure of 13Be probed via quasi-free scattering
• Three-body model for the two-neutron decay of ${}^{16}$Be
• Electric multipole response of the halo nucleus ${}^6$He

Cited by in corpus (15)

• Electric dipole response of low-lying excitations in the two-neutron halo nucleus ${}^{29}$F
• Two-neutron halo structure of ${}^{31}$F and a novel pairing anti-halo effect
• The ${}^{29}$F nucleus as a lighthouse on the coast of the island of inversion
• Core swelling in spherical nuclei: An indication of the saturation of nuclear density
• Density matrix renormalization group description of the island of inversion isotopes ${}^{28-33}$F
• Exploring the halo character and dipole response in the dripline nucleus ${}^{31}$F
• Opening angle and dineutron correlations in knockout reactions with Borromean two-neutron halo nuclei
• Exploring the structure of ${}^{29}$Ne
• Prediction of two-neutron halos in the $N=28$ isotones ${}^{40}$Mg and ${}^{39}$Na
• Possible halo structure of ${}^{62,72}$Ca by forbidden-state-free locally peaked Gaussians
• Utility of antiproton-nucleus scattering for probing nuclear surface density distributions
• Dineutron in the $2_1^{+}$ state of ${}^6$He
• Polaronic neutron in dilute alpha matter: A $p$-wave Bose polaron
• Two-cluster approach to the properties of one- and two-neutron-halo nuclei
• Investigating the rate of ${}^{10}$Be(n,$\gamma$)${}^{11}$Be radiative capture reaction within the FRDWBA framework