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.

arXiv comment11 pages, 7 figures, comparison with the latest J-PARC and CLAS data made, uncertainty estimates updated, to appear in Physical Review C

References in corpus (36)

• An accurate nucleon-nucleon potential with charge-independence breaking
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Chiral effective field theory and nuclear forces
• Construction of high-quality Nucleon-Nucleon potential models
• Soft-core hyperon-nucleon potentials
• Strangeness in nuclear physics
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• In-medium nuclear interactions of low-energy hadrons
• Hyperon-nucleon interaction at next-to-leading order in chiral effective field theory
• Hyperon-nucleon interactions - a chiral effective field theory approach
• Strangeness in Nuclei and Neutron Stars
• Baryon-baryon interactions in the SU6 quark model and their applications to light nuclear systems
• The Juelich hyperon-nucleon model revisited
• Hypernuclear Physics for Neutron Stars
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• Hyperon-nucleon interaction within chiral effective field theory revisited
• Study of the Sigma-nucleus potential by the (pi^-,K^+) reaction on medium-to-heavy nuclear targets
• Exploring Hyperons and Hypernuclei with Lattice QCD
• Strangeness S=-2 baryon-baryon interaction at next-to-leading order in chiral effective field theory
• Leading order relativistic chiral nucleon-nucleon interaction
• The Hypertriton in Effective Field Theory
• Leading order relativistic hyperon-nucleon interactions in chiral effective field theory
• Hyperon Masses in Nuclear Matter
• A Realistic Description of Nucleon-Nucleon and Hyperon-Nucleon Interactions in the SU_6 Quark Model
• Strangeness $S=-2$ baryon-baryon interactions in relativistic chiral effective field theory
• Hyperon-nucleon scattering and hyperon masses in the nuclear medium
• Strangeness $S=-1$ hyperon-nucleon scattering in covariant chiral effective field theory
• Strangeness $S=-1$ hyperon-nucleon interactions: chiral effective field theory vs. lattice QCD
• Baryon interactions from lattice QCD with physical masses --- strangeness $S=-1$ sector ---
• Baryon interactions from lattice QCD with physical quark masses -- Nuclear forces and $\Xi \Xi$ forces --
• A cornucopia of antineutrons and hyperons from super J/psi factory for next-generation nuclear and particle physics high-precision experiments
• Strangeness $S=-3$ and $-4$ baryon-baryon interactions in relativistic chiral effective field theory
• Pion-mass dependence of the nucleon-nucleon interaction
• On the structure in the $\Lambda N$ cross section at the $\Sigma N$ threshold

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• The interplay of single-particle and collective motions in the low-lying states of ${}_{\Lambda }^{21}$Ne with quadrupole-octupole correlations
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• 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