7–11 Nov 2022
Seville
Europe/Madrid timezone

Determination of the compositeness of a bound state by a and $r_0$. The role of the interaction range

Not scheduled
20m
Seville

Seville

Universidad Pablo de Olavide, de Sevilla, Ctra. de Utrera, km. 1 41013, Sevilla
Parallel contribution Theory for strong QCD

Speaker

Eulogio Oset

Description

We present an approach that allows one to obtain information on the compositeness of molecular states from
combined information of the scattering length of the hadronic components, the effective range, and the binding
energy. We consider explicitly the range of the interaction in the formalism and show it to be extremely important
to improve on the formula of Weinberg obtained in the limit of very small binding and zero range interaction.
The method allows obtaining good information also in cases where the binding is not small. We explicitly applyit to the case of the deuteron and the $D^∗_{s0}(2317)$ and $D^∗_{s1}(2460)$ states and determine simultaneously the value
of the compositeness within a certain range, as well as get qualitative information on the range of the interaction.

Primary authors

Eulogio Oset Dr Jing Song (School of Physics, Beihang University) Prof. Lian Rong Dai (School of science, Huzhou University,)

Presentation materials