Strangeness S = -3 and -4 baryon-baryon interactions in relativistic chiral effective field theory
Abstract
The strangeness S=-3 and -4 baryon-baryon interactions are investigated in the relativistic chiral effective field theory at leading order. First, the potentials are derived from the S=-1 sector assuming that the corresponding low-energy constants are related to each other via SU(3) flavor symmetry. The comparison with the state-of-the-art lattice QCD simulations, show, however, that SU(3) flavor symmetry breaking effects can not be neglected. In order to take into account these effects, we redetermine two sets of low-energy constants by fitting to the lattice QCD data in the and channels respectively. The fitting results demonstrate that the lattice QCD S-waves phase shifts for both channels can be described rather well. Without any additional free low-energy constants, the predicted phase shifts for the 3D1 channel and the mixing angle 1 are also in qualitative agreement with the lattice QCD data for the S=-3 channel, while the results for the S=-4 channel remain to be checked by future lattice QCD simulations. With the so-obtained low-energy constants, the S-wave scattering lengths and effective ranges are calculated for these two channels at the physical point. Finally, in combination with the S=0 and -2 results obtained in our previous works, we study the evolution of the irreducible representation 27 in the baryon-baryon interactions as a function of increasing strangeness. It is shown that the attraction decreases dramatically as strangeness increases from S=0 to S=-2, but then remains relatively stable until S=-4. The results indicate that the existence of bound states in the and channels is rather unlikely.