We determine the contribution of long-range pion interactions to the X(3872) dynamics, assuming it is a loosely bound D0D¯∗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) with a term associated with, but not precisely corresponding to, the D∗ width. Our approach can also be applied to the recently discovered T+cc states.
The role of the pion in the lineshape of the X(3872) / Esposito, Angelo; Germani, Davide; Glioti, Alfredo; Polosa, Antonio D.; Rattazzi, Riccardo; Tarquini, Michele. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 847:(2023). [10.1016/j.physletb.2023.138285]
The role of the pion in the lineshape of the X(3872)
Angelo Esposito;Davide Germani;Antonio D. Polosa
;Michele Tarquini
2023
Abstract
We determine the contribution of long-range pion interactions to the X(3872) dynamics, assuming it is a loosely bound D0D¯∗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) with a term associated with, but not precisely corresponding to, the D∗ width. Our approach can also be applied to the recently discovered T+cc states.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
