Hypernuclear Structure in $_ Lambda^{16}$O and Its Dependence on Hyperon’s Coupling Strengths with the Relativistic Hartree-Fock Theory

Subjects: Physics >> Nuclear Physics submitted time 2024-01-17

Ding, Shi Yuan Yang, Wei Chen, Zhao Jing Sun, Bao Yuan

Abstract： The research in hypernuclear physics provides crucial information for uncovering the characteristics of baryon-baryon interactions in the nuclear medium and understanding the internal structure of atomic nuclei and neutron stars. Based on the density-dependent relativistic Hartree-Fock (RHF) theory, the $ Lambda N$ effective interaction in the model is obtained by fitting experimental data of hyperon separation energies for single-$ Lambda$ hypernuclei. The inclusion of the Fock term alters the dynamic equilibrium of the effective nuclear force in the hyperon channel, resulting in a meson-hyperon coupling strength that differs from the relativistic mean-field model and influences the description of hyperon spin-orbit splitting. Considering the uncertainty in the values of the effective nuclear force within the model, further research is conducted to explore the dependence of hypernuclear bulk and single-particle properties on the hyperon coupling strength, aiming to identify possible ways to constrain its range of values. Taking the $^{16}_{ Lambda}$O hypernucleus as an example, the effects of the nuclear medium and Fock terms are systematically analyzed by adjusting the hyperon coupling strength in the isoscalar channel within the hypernuclear energy functional. The results suggest a possible linear relationship between the ratio of hyperon coupling strength and quantities such as hyperon spin-orbit splitting, Dirac effective mass, and hypernuclear characteristic radius. Therefore, by constraining these quantities through experimental or theoretical means, it is possible to impose stronger limitations on the effective nuclear force associated with hyperons in the nuclear medium.

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