AbstractLately, the LHCb Collaboration reported the discovery of two new states in the $$B^+\rightarrow D^+D^- K^+$$
B
+
→
D
+
D
-
K
+
decay, i.e., $$X_0(2866)$$
X
0
(
2866
)
and $$X_1(2904)$$
X
1
(
2904
)
. In the present work, we study whether these states can be understood as $${\bar{D}}^*K^*$$
D
¯
∗
K
∗
molecules from the perspective of their two-body strong decays into $$D^-K^+$$
D
-
K
+
via triangle diagrams and three-body decays into $${\bar{D}}^*K\pi $$
D
¯
∗
K
π
. The coupling of the two states to $${\bar{D}}^*K^*$$
D
¯
∗
K
∗
are determined from the Weinberg compositeness condition, while the other relevant couplings are well known. The obtained strong decay width for the $$X_0(2866)$$
X
0
(
2866
)
state, in marginal agreement with the experimental value within the uncertainty of the model, hints at a large $${\bar{D}}^*K^*$$
D
¯
∗
K
∗
component in its wave function. On the other hand, the strong decay width for the $$X_1(2904)$$
X
1
(
2904
)
state, much smaller than its experimental counterpart, effectively rules out its assignment as a $${\bar{D}}^*K^*$$
D
¯
∗
K
∗
molecule.
Universal Probability Distribution for the Wave Function of a Quantum System Entangled with its Environment
