Interactions between two heavy mesons within heavy meson chiral effective field theory

Abstract

We have studied the interactions between two heavy mesons ($D^{(\ast )}$-$D^{(\ast )}$, ${\bar{D}}^{(\ast )}$-${\bar{D}}^{(\ast )}$, $B^{(\ast )}$-$B^{(\ast )}$, or ${\bar{B}}^{(\ast )}$-${\bar{B}}^{(\ast )}$) within heavy meson chiral effective field theory and investigated possible molecular states. The effective potentials are obtained with Weinberg's scheme up to one-loop level. At the leading order, four body contact interactions and one pion exchange contributions are considered. In addition to two pion exchange diagrams, we include the one-loop chiral corrections to contact terms and one pion exchange diagrams at the next-to-leading order. The effective potentials both in momentum space and coordinate space are investigated and discussed extensively. The possible molecular states are also studied and the binding energies are provided by solving the Schrodinger equation. The results will be helpful for the experimental search for the doubly-heavy molecular states.

5 pages; in proceeding of the XVIII International Conference on Hadron Spectroscopy and Structure (HADRON-2019), August 16-21, Guilin, China

References in corpus (3)

• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Structure of the $\mathbf{\Lambda }(1405)$ from Hamiltonian effective field theory
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory