$\Xi$ hyperons in the nuclear medium described by chiral NLO interactions

Abstract

Properties of the baryon-baryon interactions in the strangeness $S=-2$ sector of chiral effective field theory at the next-to-leading order (NLO) level are explored by calculating $\Xi$ single-particle potentials in symmetric nuclear matter. The results are transformed to the $\Xi$ potential in finite nuclei by a local-density approximation with convolution by a Gaussian form factor to simulate finite-range effects. The $\Xi$ potential is repulsive in a central region, and attractive in a surface area when the $\Xi$ energy is low. The attractive pocket can lower the ${\Xi }^{-}$ $s$ and $p$ atomic states. The obtained binding energies in ${}^{12}$C and ${}^{14}$N are found to be conformable with those found in emulsion experiments at Japan's National Laboratory for High Energy Physics (KEK). $K^{+}$ spectra of $(K^{-},K^{+})$ $\Xi$ production inclusive processes on ${}^9$Be and ${}^{12}$C are also evaluated, using a semi-classical distorted wave method. The absolute values of the cross section are properly reproduced for ${}^9$Be, but the peak locates at a lower energy position than that of the experimental data. The calculated spectrum of ${}^{12}$C should be compared with the forthcoming result from the new experiments recently carried out at KEK with better resolution than before. The comparison would be valuable to improve the understanding of the $\Xi N$ interaction, the parametrization of which has still large uncertainties.

11 pages, 9 figures

References in corpus (5)

• Chiral effective field theory and nuclear forces
• Hyperon-nucleon interactions - a chiral effective field theory approach
• Baryon-baryon interactions in the SU6 quark model and their applications to light nuclear systems
• In-medium properties of a $\Xi N$ interaction derived from chiral effective field theory
• Localized $N,\Lambda ,\Sigma$, and $\Xi$ Single-Particle Potentials in Finite Nuclei Calculated with $S{U}_6$ Quark-Model Baryon-Baryon Interactions

Cited by in corpus (13)

• Hyperon-nuclear interactions from SU(3) chiral effective field theory
• First observation of a nuclear $s$-state of $\Xi$ hypernucleus, ${}_{\Xi }^{15}\mathrm{C}$
• Constraints on ${\Xi }^{-}$ nuclear interactions from capture events in emulsion
• $A=4-7$ $\Xi$ hypernuclei based on interactions from chiral effective field theory
• $\Xi$-nucleus potential for ${\Xi }^{-}$ quasifree production in the ${}^9$Be($K^{-}$, $K^{+}$) reaction
• The $\Xi N$ interaction constrained by recent ${\Xi }^{-}$ hypernuclei experiments
• S-shell $\Lambda \Lambda$ hypernuclei based on chiral interactions
• Status of the hyperon-nucleon interaction in chiral effective field theory
• Medium effects on ${\Xi }^{-}$ production in the nuclear ($K^{-}$, $K^{+}$) reaction
• Compatibility of recent $\Xi$-nuclear bound state signals
• $\Xi$-nuclear constraints from ${\Xi }^{-}$ emulsion capture events
• Medium effects in antikaon-induced ${\Xi }^{-}$ hyperon production on nuclei near threshold
• Momentum dependence of near-threshold photoproduction of ${\Xi }^{-}$ hyperons off nuclei and their properties in the nuclear medium