TY  - JOUR
AU  - Li, H. P.
AU  - Yi, J. Y.
AU  - Xiao, C. W.
AU  - Yao, D. L.
AU  - Liang, W. H.
AU  - Oset, E.
PY  - 2024
DA  - 2024//
TI  - Correlation function and the inverse problem in the BD interaction
T2  - Chin. Phys. C
JO  - Chinese Physics C
SP  - 053107
EP  - 7pp
VL  - 48
IS  - 5
PB  - IOP Publishing Ltd
KW  - meson-meson interaction
KW  - correlation function
KW  - BD system
KW  - scattering observables
AB  - We study the correlation functions of the (BD+)-D-0, (B+D0) system, which develops a bound state of approximately 40MeV, using inputs consistent with the T-cc(3875) state. Then, we address the inverse problem starting from these correlation functions to determine the scattering observables related to the system, including the existence of the bound state and its molecular nature. The important output of the approach is the uncertainty with which these observables can be obtained, considering errors in the (BD+)-D-0, (B+D0) correlation functions typical of current values in correlation functions. We find that it is possible to obtain scattering lengths and effective ranges with relatively high precision and the existence of a bound state. Although the pole position is obtained with errors of the order of 50% of the binding energy, the molecular probability of the state is obtained with a very small error of the order of 6%. All these findings serve as motivation to perform such measurements in future runs of high energy hadron collisions.
SN  - 1674-1137
UR  - https://arxiv.org/abs/2401.14302
UR  - https://doi.org/10.1088/1674-1137/ad2dc2
DO  - 10.1088/1674-1137/ad2dc2
LA  - English
N1  - WOS:001205326100001
ID  - Li_etal2024
ER  -