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Beyond mean-field approach for pear-shaped hypernuclei

  • HaoJie Xia
  • XianYe Wu
  • Hua Mei
  • JiangMing YaoEmail author
Article

Abstract

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 \(\begin{array}{c}21\\ \Lambda\end{array}{\rm{Ne}}\) as an example to illustrate the method, where the Λ hyperon is put on one of the two lowest-energy orbits (labeled as Λsp), 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 Λsp) becomes more and more concentrated around the bottom (top) of the “pear” with the increase of octupole deformation.

Keywords

hypernucleus relativistic mean field octupole deformation cluster structure 

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Copyright information

© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • HaoJie Xia
    • 1
  • XianYe Wu
    • 2
  • Hua Mei
    • 3
    • 4
  • JiangMing Yao
    • 5
    Email author
  1. 1.School of Mechanical and Electrical EngineeringHandan UniversityHandanChina
  2. 2.College of Physics and Communication ElectronicsJiangxi Normal UniversityNanchangChina
  3. 3.Department of Physics and AstronomyUniversity of North CarolinaChapel HillUSA
  4. 4.Department of PhysicsTohoku UniversitySendaiJapan
  5. 5.FRIB/NSCLMichigan State UniversityEast LansingUSA

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