Test of the hyperon-nucleon interaction within leading order covariant chiral effective field theory

Abstract

Motivated by the recent experimental measurements of differential cross sections of the ${\Sigma }^{-}p$ elastic scattering in the momentum range of $470$ to $850$ MeV$/c$ by the J-PARC E$40$ experiment, we extend our previous studies of $S=-1$ hyperon-nucleon interactions to relatively higher energies up to $900$ MeV$/c$ for both the coupled-channel $\Lambda p\to (\Lambda p,{\Sigma }^{+}n,{\Sigma }^{0}p)$, ${\Sigma }^{-}p\to (\Lambda n,{\Sigma }^{0}n,{\Sigma }^{-}p)$ and single-channel ${\Sigma }^{+}p\to {\Sigma }^{+}p$ reactions. We show that although the leading order covariant chiral effective field theory is only constrained by the low energy data, it can describe the high energy data reasonably well, in particular, the J-PARC E40 differential cross sections. The predicted cusp structure close to the $\Sigma N$ threshold in the $\Lambda p\to \Lambda p$ reaction agrees with the latest ALICE observation as well as with the results of the next-to-leading order heavy baryon chiral effective theory. On the other hand, the comparison with the latest CLAS data on the $\Lambda p$ cross sections between 0.9 and 2.0 GeV$/c$ clearly indicates the need of higher order chiral potentials for such high momenta. This is also the case for the latest J-PARC data on the $\Sigma p\to \Lambda n$ differential cross sections. Nevertheless, even for these cases, the predictions are in qualitative agreement with the data, albeit with large uncertainties, implying that the predicted total and differential cross sections are of relevance for ongoing and planned experiments.

11 pages, 7 figures, comparison with the latest J-PARC and CLAS data made, uncertainty estimates updated, to appear in Physical Review C

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Cited by in corpus (8)

• Accurate relativistic chiral nucleon-nucleon interaction up to NNLO
• Hyperon-nucleon interaction in chiral effective field theory at next-to-next-to-leading order
• Strangeness $S=-2$ baryon-baryon interactions and femtoscopic correlation functions in covariant chiral effective field theory
• The interplay of single-particle and collective motions in the low-lying states of ${}_{\Lambda }^{21}$Ne with quadrupole-octupole correlations
• Precise measurement of the branching fractions of $J/\psi \to \bar{\Lambda }{\pi }^{+}{\Sigma }^{-}+c.c.$ and $J/\psi \to \bar{\Lambda }{\pi }^{-}{\Sigma }^{+}+c.c.$
• A direct probe of $\Lambda$ potential in nuclear medium
• First measurement of ${\Sigma }^{+}n\to \Lambda p$ and ${\Sigma }^{+}n\to {\Sigma }^{0}p$ cross sections via ${\Sigma }^{+}$-nucleus scattering at an electron-positron collider
• Probing $\Lambda$ potential via its $v_2$ flow in hypernuclei-induced reaction