We develop both relativistic mean field and beyond approaches for hypernuclei with possible quadrupole-octupole deformation or pear-like shapes based on relativistic point-coupling energy density functionals. The symmetries broken in the mean-field states are recovered with parity, particle-number and angular momentum projections. We take 21ΛNe as an example to illustrate the method, where the Λ hyperon is put on one of the two lowest-energy orbits (labeled as Λs,Λp), respectively. We find that the Λ hyperon in both cases disfavors the formation of a reflection-asymmetric molecular-like 16O+α structure in 20Ne, which is consistent with the Nilsson diagram for the hyperon in (β2, β3) deformation plane. In particular, we show that the negative-parity states with the configuration 20Ne(Kπ = 0−) ⊗ Λs are close in energy to those with the configuration 20Ne(Kπ = 0+) ⊗ Λp, even though they have very different structures. The Λs (Λp) becomes more and more concentrated around the bottom (top) of the “pear” with the increase of octupole deformation.
CITATION STYLE
Xia, H. J., Wu, X. Y., Mei, H., & Yao, J. M. (2019). Beyond mean-field approach for pear-shaped hypernuclei. Science China: Physics, Mechanics and Astronomy, 62(4). https://doi.org/10.1007/s11433-018-9308-0
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