Exploring two-neutron halo formation in the ground state of F29 within a three-body model

• DOI: 10.1103/physrevc.101.024310
• Publication Date: 2020-02-21T16:07:12Z
• Authors: Jagjit Singh; J. Casal; W. Horiuchi; L. Fortunato; A. Vitturi
• Keywords: Halo nucleus

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