Impurity effect of Lambda particle on the structure of 18F and 19F_Lambda

Abstract

We perform three-body model calculations for a $sd$-shell hypernucleus $^{19}_{\Lambda}$F ($^{17}_{\Lambda}{\rm O}+p+n$) and its core nucleus $^{18}$F ($^{16}{\rm O}+p+n$), employing a density-dependent contact interaction between the valence proton and neutron. We find that the $B(E2)$ value from the first excited state (with spin and parity of $I^\pi=3^+$) to the ground state ($I^\pi=1^+$) is slightly decreased by the addition of a $\Lambda$ particle, which exhibits the so called shrinkage effect of $\Lambda$ particle. We also show that the excitation energy of the $3^+$ state is reduced in $^{19}_{\Lambda}$F compared to $^{18}$F, as is observed in a $p$-shell nucleus $^{6}$Li. We discuss the mechanism of this reduction of the excitation energy, pointing out that it is caused by a different mechanism from that in $^{7}_{\Lambda}$Li.