Scattering of decuplet baryons in chiral effective field theory

J. Haidenbauer; S. Petschauer; N. Kaiser; Ulf-G. Meißner; W. Weise

doi:10.1140/epjc/s10052-017-5309-4

EPJ

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2017) 77: 760
https://doi.org/10.1140/epjc/s10052-017-5309-4

Regular Article - Theoretical Physics

Scattering of decuplet baryons in chiral effective field theory

J. Haidenbauer¹^*, S. Petschauer², N. Kaiser², Ulf-G. Meißner¹^,3 and W. Weise²

¹ Institute for Advanced Simulation and Jülich Center for Hadron Physics, Institut für Kernphysik, Forschungszentrum Jülich, 52425, Jülich, Germany
² Physik Department, Technische Universität München, 85747, Garching, Germany
³ Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, 53115, Bonn, Germany

^* e-mail: j.haidenbauer@fz-juelich.de

Received: 4 September 2017
Accepted: 14 October 2017
Published online: 12 November 2017

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 $\mathrm{BB}\rightarrow \mathrm{BB}$ , $\mathrm{BB}\leftrightarrow \mathrm{DB}$ , $\mathrm{DB}\rightarrow \mathrm{DB}$ , $\mathrm{BB}\leftrightarrow \mathrm{DD}$ , $\mathrm{DB}\leftrightarrow \mathrm{DD}$ , and $\mathrm{DD}\rightarrow \mathrm{DD}$ are provided. As an application of the formalism we compare with results from lattice QCD simulations for ${\varOmega }{\varOmega }$ and $N{\varOmega }$ scattering. Implications of our results pertinent to the quest for dibaryons are discussed.