Abstract
In this work, we preform a systematic investigation about hidden heavy and doubly heavy molecular states from the D^{(*)}{bar{D}}^{(*)}/B^{(*)}{bar{B}}^{(*)} and D^{(*)}D^{(*)}/{bar{B}}^{(*)}{bar{B}}^{(*)} interactions in the quasipotential Bethe–Salpeter equation (qBSE) approach. With the help of Lagrangians with heavy quark and chiral symmetries, interaction potentials are constructed within the one-boson-exchange model in which we include the pi , eta , rho , omega and sigma exchanges, as well as J/psi or varUpsilon exchange. Possible bound states from the interactions considered are searched for as the pole of scattering amplitude. The results suggest that experimentally observed states, Z_c(3900), Z_c(4020), Z_b(10610), and Z_b(10650), can be related to the D{bar{D}}^{*}, D^*{bar{D}}^{*}, B{bar{B}}^{*}, and B^*{bar{B}}^{*} interactions with quantum numbers I^G(J^P)=1^+(1^{+}), respectively. The D{bar{D}}^{*} interaction is also attractive enough to produce a pole with 0^+(0^+) which is related to the X(3872). Within the same theoretical frame, the existence of D{bar{D}} and B{bar{B}} molecular states with 0(0^+) are predicted. The possible D^*{bar{D}}^* molecular states with 0(0^+, 1^+, 2^+) and 1(0^+) and their bottom partners are also suggested by the calculation. In the doubly heavy sector, no bound state is produced from the DD/{bar{B}}{bar{B}} interaction while a bound state is found with 0(1^+) from DD^*/{bar{B}}{bar{B}}^* interaction. The D^*D^*/{bar{B}}^*{bar{B}}^* interaction produces three molecular states with 0(1^+), 0(2^+) and 1(2^+).
Highlights
The molecular state is a loosely bound states of two or more hadrons
We focus on two important thresholds, D(∗) D(∗) and B(∗) B(∗), where many important XYZ particles were observed, such as X (3872), Zc(3900), Zc(4020), Zb(10610), and Zb(10650) [1, 3, 4, 6, 7]
We will perform a systematic study of possible molecular states produced from the D(∗) D (∗)/B(∗) B (∗) and D(∗) D(∗)/B (∗) B (∗) interactions in the quasipotential Bethe–Salpeter equation (qBSE) approach combined with the oneboson-exchange model
Summary
The molecular state is a loosely bound states of two or more hadrons. It has an obvious characteristic that its mass is close to a threshold of hadrons. Many XYZ particles were observed near a threshold [1]. We focus on two important thresholds, D(∗) D(∗) and B(∗) B(∗), where many important XYZ particles were observed, such as X (3872), Zc(3900), Zc(4020), Zb(10610), and Zb(10650) [1, 3, 4, 6, 7]. If we find more states near these thresholds, the molecular state interpretation of observed XYZ particles is supported. We will perform a systematic study of possible molecular states produced from the D(∗) D (∗)/B(∗) B (∗) and D(∗) D(∗)/B (∗) B (∗) interactions in the qBSE approach combined with the oneboson-exchange model. In the same theoretical frame, one of two constituent particles will be replaced by its antiparticle, and the doubly heavy molecular state can be studied.
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