^{1}

^{1}

^{2,3}

^{4,5}

^{3}.

In the hadrocharmonium picture a

Significant evidence of tetraquark states with hidden charm was recently obtained; see Refs.

Various theoretical approaches have been suggested to interpret such tetraquark states, for instance in terms of hadronic molecules formed of

Here we investigate the possibility of whether some of these tetraquarks can be interpreted as bound states of a

This formalism provides a successful description of the pentaquark state

In this work we investigate whether the hadrocharmonium picture can also describe some of the hidden-charm tetraquarks. We will show that the tetraquark

In the heavy quark limit, when the quarkonium size is much smaller than the size of the considered hadron, here

With the value of

It should be remarked that in our situation mixing effects between

Very little is known about the EMT densities in the

In a very simple description one may assume simple generic forms, e.g., dipole and quadrupole^{1}

We chose the quadrupole

The radii and

With the parameters in above mentioned intervals we obtain a set of effective potentials whose form varies considerably. For illustrative purposes we plot in Fig.

Examples of the effective potentials obtained from different values of the parameters in the intervals

Let

The decay of the tetraquark into

To evaluate the binding energy and width in Eqs.

Not surprisingly, we obtain a wide range of masses

The mass and width are functions

The scatter plot of the decay width

In the remainder of this section we will clarify the question why

The bound state problem and the width can be conveniently solved and evaluated in position space. To understand the

Consider a class of potentials obtained from continuously-differentiable (adiabatic) variations of certain parameters. Then

The specific shape of the

In summary, in the hadrocharmonium picture the mass and partial width

The EMT densities in the

In our approach the

Interestingly, the state

It is important to stress that adopting this interpretation for

Assuming that the state

We also note that if we consider the chromoelectric polarizability

Using the example of the

Other interesting questions concern whether also other

J.P., I.P., and M.V.P. are thankful to Prof. S. E. Korenblit for useful discussions. The work of M.V.P. is supported by CRC110 (DFG). This work was supported in part by the National Science Foundation (Contract No. 1406298) and Wilhelm Schuler Stiftung.

In the limit

In the opposite limit when