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Impurity effect of the $Λ$ particle on the structure of $^{18}$ F and $_{Λ}^{19}$ F

Y. Tanimura and K. Hagino

H. Sagawa

Department of Physics, Tohoku University, Sendai 980-8578, Japan

Center for Mathematics and Physics, University of Aizu, Aizu-Wakamatsu, Fukushima 965-8560, Japan and RIKEN Nishina Center, Wako 351-0198, Japan

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Phys. Rev. C 86, 044331 – Published 23 October, 2012

DOI: https://doi.org/10.1103/PhysRevC.86.044331

Abstract

We perform three-body model calculations for a $s d$ -shell hypernucleus $_{Λ}^{19}$ F ( $_{Λ}^{17} O + p + n$ ) and its core nucleus $^{18}$ F ( $^{16} O + p + n$ ), employing a density-dependent contact interaction between the valence proton and neutron. We find that the $B (E 2)$ value from the first excited state (with spin and parity of $I^{π} = 3^{+}$ ) to the ground state ( $I^{π} = 1^{+}$ ) is slightly changed by the addition of a $Λ$ particle, which exhibits the so called shrinkage effect of $Λ$ particle. We also show that the excitation energy of the $3^{+}$ state is reduced in $_{Λ}^{19}$ 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 $_{Λ}^{7}$ Li.

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Impurity effect of the $Λ$ particle on the structure of $^{18}$ F and $_{Λ}^{19}$ F

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Impurity effect of the Λ particle on the structure of 18F and Λ19F

Abstract

Article Text

References (35)

Impurity effect of the $Λ$ particle on the structure of $^{18}$ F and $_{Λ}^{19}$ F