Study of Ξ- hypernuclei in the Skyrme–Hartree–Fock approach

• Published in: The European physical journal. A, Hadrons and nuclei Vol. 56; no. 5
• Main Authors: Jin, Yun, Zhou, Xian-Rong, Cheng, Yi-Yuan, Schulze, H.-J.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 2020; Springer Nature B.V
• Subjects: Deformation effects; Hadrons; Heavy Ions; Hypernuclei; Impurity effects; Nuclear Fusion; Nuclear Physics; Particle and Nuclear Physics; Physics; Physics and Astronomy; Regular Article –Theoretical Physics
• ISSN: 1434-6001; 1434-601X
• DOI: 10.1140/epja/s10050-020-00143-7

The properties of Ξ - hypernuclei are studied systematically using a two-dimensional Skyrme–Hartree–Fock approach combined with three different Ξ N Skyrme forces fitted to reproduce the existing data. We explore the impurity effect of a single Ξ - hyperon on the radii, deformations, and density distributions of the nuclear core and point out qualitative differences between the different forces. We find that the Ξ - removal energy of Ξ p 13 B [ 12 C(g.s.)+ Ξ - (1p)] calculated by the SLX3 force is 0.7 MeV, which is in good agreement with a possible value of 0.82 ± 0.17 MeV from the KEK E176 experiment. The theoretical prediction for this weakly bound state depends strongly on the deformation of the nuclear core, which is analyzed in detail.