Electric dipole response of low-lying excitations in the two-neutron halo nucleus ${}^{29}$F

Abstract

The neutron-rich ${}^{28,29}$F isotopes have been recently studied via knockout and interaction cross-section measurements. The $2n$ halo in ${}^{29}$F has been linked to the occupancy of $pf$ intruder configurations. We investigate bound and continuum states in ${}^{29}$F, focusing on the $E1$ response of low-lying excitations and the effect of dipole couplings on nuclear reactions. ${}^{29}\text{F}$ (${}^{27}\text{F}+n+n$) wave functions are built within the hyperspherical harmonics formalism, and reaction cross sections are calculated using the Glauber theory. Continuum states and $B(E1)$ transition probabilities are described in a pseudostate approach using the analytical THO basis. The corresponding structure form factors are used in CDCC calculations to describe low-energy scattering. Parity inversion in ${}^{28}$F leads to a ${}^{29}$F ground state characterized by 57.5% of $(p_{3/2}{)}^2$ intruder components, a strong dineutron configuration, and an increase of the matter radius with respect to the core radius of $\Delta R=0.20$ fm. Glauber-model calculations for a carbon target at 240 MeV/nucleon provide a total reaction cross section of 1370 mb, in agreement with recent data. The model produces also a barely bound excited state corresponding to a quadrupole excitation. $B(E1)$ calculations into the continuum yield a total strength of 1.59 e${}^2$fm${}^2$ up to 6 MeV, and the $E1$ distribution exhibits a resonance at $\approx$ 0.85 MeV. Results using a standard shell-model order for ${}^{28}$F lead to a considerable reduction of the $B(E1)$ distribution. The four-body CDCC calculations for ${}^{29}\text{F}{+}^{120}\text{Sn}$ around the Coulomb barrier are dominated by dipole couplings, which totally cancel the Fresnel peak in the elastic cross section. These results are consistent with a two-neutron halo and may guide future experimental campaigns.

Comments: 17 pages, 15 figures. Accepted in Physical Review C