The role of the pion in the lineshape of the X(3872)
We determine the contribution of long-range pion interactions to the X(3872) dynamics, assuming it is a loosely bound D-0(D) over bar*(0) molecule. Our result is based on the distorted wave Born approximation in non-relativistic quantum mechanics. Despite their long-range nature, we find that pion interactions cannot produce a large and negative effective range. Nonetheless, they introduce imaginary parts. In particular, they contribute to the total decay width of the X(3872) a term associated with, but not precisely corresponding to, the D* width. Our approach can also be applied to the recently discovered T-cc(+) state.
WOS:001107748000001
2023-10-31
847
138285
REVIEWED
Funder | Grant Number |
Swiss National Science Foundation | 200020-213104 |
National Centres of Competence in Research SwissMAP | |