Mean field approaches for ${\Xi }^{-}$ hypernuclei and current experimental data

Abstract

Motivated by the recently observed hypernucleus (Kiso event) ${}_{\Xi }^{15}$C (${}^{14}$N$+{\Xi }^{-}$), we identify the state of this system theoretically within the framework of the relativistic-mean-field and Skyrme-Hartree-Fock models. The $\Xi N$ interactions are constructed to reproduce the two possibly observed ${\Xi }^{-}$ removal energies, $4.38\pm 0.25$ MeV or $1.11\pm 0.25$ MeV. The present result is preferable to be ${}^{14}\mathrm{N}(g.s.)+{\Xi }^{-}(1p)$, corresponding to the latter value.

8 pages, 3 figures, 1 table

References in corpus (13)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• The Skyrme Interaction in finite nuclei and nuclear matter
• New effective interactions in RMF theory with non-linear terms and density-dependent meson-nucleon coupling
• Evidence of Xi hypernuclear production in the ^{12}C(K^-,K^+)^{12}_{Xi}Be reaction
• Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum
• Hypernuclear Physics for Neutron Stars
• Structure of A=7 iso-triplet $\Lambda$ hypernuclei studied with he four-body model
• Gamma-Ray Spectroscopy in Lambda Hypernuclei
• High Resolution Spectroscopic Study of ${}_{\Lambda }^{10}$Be
• Strangeness in Compact Stars
• Light $\Xi$ hypernuclei in four-body cluster models
• A study of Lambda hypernuclei within the Skyrme-Hartree-Fock Model
• Structure of ${}_{\Lambda }^{10}$Be and ${}_{\Lambda }^{10}$B hypernuclei studied with the four-body cluster model

Cited by in corpus (32)

• Observation of Coulomb-assisted nuclear bound state of ${\Xi }^{-}$-${}^{14}$N system
• Relativistic hypernuclear compact stars with calibrated equations of state
• First observation of a nuclear $s$-state of $\Xi$ hypernucleus, ${}_{\Xi }^{15}\mathrm{C}$
• Constraints on ${\Xi }^{-}$ nuclear interactions from capture events in emulsion
• Thermal evolution of relativistic hyperonic compact stars with calibrated equations of state
• Green's function method for the single-particle resonances in a deformed Dirac equation
• Strangeness and $\Delta$ resonance in compact stars with relativistic-mean-field models
• Green's function relativistic mean field theory for $\Lambda$ hypernuclei
• Massive neutron stars and $\Lambda$-hypernuclei in relativistic mean field models
• Strength of pairing interaction for hyperons in multistrangeness hypernuclei
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• $A=4-7$ $\Xi$ hypernuclei based on interactions from chiral effective field theory
• Density Functional approach for multi-strange hypernuclei: competition between $\Lambda$ and ${\Xi }^{0,-}$ hyperons
• Effects of $\bm\la$ hyperons on the deformations of even-even nuclei
• Study of ${\Xi }^{-}$ hypernuclei in the Skyrme-Hartree-Fock approach
• Continuum Skyrme-Hartree-Fock-Bogoliubov theory with Green's function method for odd-$A$ nuclei
• Searching for single-particle resonances with the Green's function method
• Single-${\Xi }^{-}$ hypernuclei with quark mean field model
• Quark mean field model with pion and gluon corrections for $\Lambda ,{\Xi }^0$ hypernuclei and neutron stars
• Study of single-particle resonant states with Green's function method
• Extended NJL model for baryonic matter and quark matter
• The $\Xi N$ interaction constrained by recent ${\Xi }^{-}$ hypernuclei experiments
• $\Xi$ hypernuclei ${}_{\Xi }^{15}$C, ${}_{\Xi }^{12}$Be and $\Xi N$ two-body interaction
• Quenched Λ spin-orbit splitting by relativistic Fock diagram in single-Λ hypernuclei
• Single ${\Lambda }_c^{+}$ hypernuclei within quark mean-field model
• Density-dependent relativistic mean-field model for ${\Xi }^{-}$ hypernuclei
• Charge symmetry breaking in hypernuclei within RMF model
• Impact of $\Xi$-Hypernuclear Constraints on Relativistic Equation of State and Properties of Hyperon Stars
• Charmed hypernuclei within density-dependent relativistic mean-field theory
• Effects of $\Lambda \Lambda -\Xi N$ mixing in the decay of $S=-2$ hypernuclei
• Investigation of ${\Xi }^{-}nn$ ($S=-2$) Hypernucleus in Low-energy Pionless Halo Effective Theory
• Ground-state properties of light kaonic nuclei signaling symmetry energy at high densities