https://doi.org/10.1140/epja/i2018-12638-7
Regular Article - Theoretical Physics
Scattering of charmed baryons on nucleons
1
Institute for Advanced Simulation, Institut für Kernphysik, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425, Jülich, Germany
2
Instituto de Fısica Teórica, Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco II, 01140-070, São Paulo, SP, Brazil
* e-mail: j.haidenbauer@fz-juelich.de
Received:
11
June
2018
Accepted:
9
October
2018
Published online:
26
November
2018
Chiral effective field theory is utilized for extrapolating results on the interaction, obtained in lattice QCD at unphysical (large) quark masses, to the physical point. The pion-mass dependence of the components that constitute the
potential up to next-to-leading order (pion-exchange diagrams and four-baryon contact terms) is fixed by information from lattice QCD simulations. No recourse to SU(3) or SU(4) flavor symmetry is made. It is found that the results of the HAL QCD Collaboration for quark masses corresponding to
410 - 570 MeV imply a moderately attractive
interaction at
MeV with scattering lengths of
fm for the 1
S
0 as well as the 3
S
1 partial waves. For such an interaction the existence of a charmed counterpart of the hypertriton seems unlikely but four- and/or five-baryons systems with a
baryon could be indeed bound.
© SIF, Springer-Verlag GmbH Germany, part of Springer Nature, 2018