Molecular states from $$D^{(*)}{\bar{D}}^{(*)}/B^{(*)}{\bar{B}}^{(*)}$$ D ( ∗ ) D ¯ ( ∗ ) / B ( ∗ ) B ¯ ( ∗ ) and $$D^{(*)}D^{(*)}/{\bar{B}}^{(*)}{\bar{B}}^{(*)}$$ D ( ∗ ) D ( ∗ ) / B ¯ ( ∗ ) B ¯ ( ∗ ) interactions
The European Physical Journal C(2020)
摘要
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
$$1(2^+)$$
.
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