Scattering of decuplet baryons in chiral effective field theory

Abstract

A formalism for treating the scattering of decuplet baryons in chiral effective field theory is developed. The minimal Lagrangian and potentials in leading-order SU(3) chiral effective field theory for the interactions of octet baryons ($B$) and decuplet baryons ($D$) for the transitions $BB\to BB$, $BB\leftrightarrow DB$, $DB\to DB$, $BB\leftrightarrow DD$, $DB\leftrightarrow DD$, and $DD\to DD$ are provided. As an application of the formalism we compare with results from lattice QCD simulations for $\Omega \Omega$ and $N\Omega$ scattering. Implications of our results pertinent to the quest for dibaryons are discussed.

arXiv comment26 pages, 6 figures; minor corrections in the text, references added

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• Most Strange Dibaryon from Lattice QCD
• Strong decays of the latest LHCb pentaquark candidates in hadronic molecule pictures
• Towards grounding nuclear physics in QCD
• Hyperon-nuclear interactions from SU(3) chiral effective field theory
• The $\Omega (2012)$ as a hadronic molecule
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• Strangeness $S=-1$ hyperon-nucleon interactions: chiral effective field theory vs. lattice QCD
• Directed flow of $\Lambda$ in high-energy heavy-ion collisions and $\Lambda$ potential in dense nuclear matter
• Towards baryon-baryon scattering in manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory
• Dibaryons: Molecular versus Compact Hexaquarks
• Scattering of charmed baryons on nucleons
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• Lambda-nucleon scattering in baryon chiral perturbation theory
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• Meson-baryon coupling constants of the SU(3) baryons with flavor SU(3) symmetry breaking
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• The Baryon-Baryon Interaction in the Large-$N_c$ Limit
• Radiative decays of the $\Omega (2012)$ as a hadronic molecule
• Bound States of $\Omega$ Baryons in Light Nuclei