Long-range $S$-wave $D{D}^{\ast }$ interaction in covariant chiral effective field theory

Abstract

Motivated by the recent lattice QCD study of the $D{D}^{\ast }$ interaction at unphysical quark masses, we perform a theoretical study of the $D{D}^{\ast }$ interaction in covariant chiral effective field theory (ChEFT). In particular, we calculate the relevant leading-order two-pion exchange contributions. The results compare favorably with the lattice QCD results, supporting the conclusion that the intermediate-range $D{D}^{\ast }$ interaction is dominated by two-pion exchanges and the one-pion exchange contribution is absent. At a quantitative level, the covariant ChPT results agree better with the lattice QCD results than their non-relativistic counterparts, showing the relevance of relativistic corrections in the charm sector.

12 pages, 7 figures