Possible bound state of the double heavy meson-baryon system

TL;DR

This paper investigates the potential for bound states in a double heavy meson-baryon system by calculating the two-pion exchange potential, finding it sufficiently strong to suggest possible binding.

Contribution

It introduces a calculation of the two-pion exchange potential between heavy mesons and baryons, highlighting its significance compared to one-pion exchange and its implications for bound state formation.

Findings

Two-pion exchange potential is as strong as one-pion exchange.

Potential is sufficient to bind Λ_b and B̄.

Results are sensitive to the cut-off but within reasonable values.

Abstract

We calculate the two-pion exchange potential between a heavy meson and a heavy baryon. We find this potential is as strong as the one-pion exchange potential between two heavy mesons and is enough to bind $\Lambda_b-\bar B$. Though our result is sensitive to the cut-off, the value of the cut-off is in the reasonable region.