^{1}

^{1}

^{1}

^{3}.

The strong coupling constants of newly observed

Lately, in the invariant mass spectrum of

In this work, we estimate the strong coupling constants of

All newly observed

Part of newly observed

Note that the strong coupling constants of

The article is organized as follows. In Section

For the calculation of the strong coupling constants of

We calculate

In terms of hadron parameters.

In terms of quark-gluons in the deep Euclidean domain.

These two representations are then equated by using the dispersion relation, and we get the desired sum rules for corresponding strong coupling constant. The hadronic representations of the correlation functions can be obtained by saturating (

Here we would like to note that the currents

Note that to derive (

In order to find sum rules for the strong coupling constants of

Now let us demonstrate steps of calculation of the correlation function from QCD side. As an example let us consider one term of correlation

By using Wick’s theorem, this term can be written as

The heavy quark propagator is given as

For calculation of the correlator function(s) we need another ingredient of light cone sum rules, namely, the matrix elements of nonlocal operators

From (

The sum rules for the corresponding strong coupling constants are obtained by choosing the coefficients aforementioned structures and equating to the corresponding results from hadronic and QCD sides. Performing doubly Borel transformation with respect to variable

The masses of the initial and final baryons are close to each other; hence in the next discussions, we set

As we have already noted in case (a) we need to determine two coupling constants

The results for scenario (b) can be obtained from the results for scenario (a) with the help of aforementioned replacements.

From (

The interpolating currents

As we already noted, only the structure

For the physical parts of the correlation function, we get

Here in the last term, upper (lower) sign corresponds to case (a) (case (b)).

Denoting the coefficients of the Lorentz structures

The expressions for spin

Similar to the determination of the strong coupling constant, for obtaining the sum rule for residues we need the continuum subtraction. It can be performed in following way. In terms of the spectral density

It follows from the sum rules that we have only two equations, but six (three masses and three residues) are unknowns. In order to simplify the calculations, we take the masses of

In this section we present our numerical results of the sum rules for the strong coupling constants responsible for

The sum rules for

The dependence of residue for

Same as in Figure

Performing similar analysis for

Same as in Figure

Same as in Figure

From these results we observe that the residues of

Having obtained the values of the residues, our next problem is the determination of the corresponding coupling constants using the values of

For scenario (a),

For scenario (b),

The dependence of strong coupling constant for

Same as in Figure

Same as in Figure

Same as in Figure

The decay widths of these transitions can be calculated straightforwardly and we get

Decay widths for the two-scenarios considered are shown.

Scenario (a) | Scenario (b) | |
---|---|---|

(GeV) | (GeV) | |

| | |

| | |

| | |

| | |

Our results on the decay widths are also drastically different than the one presented in [

In [

The second reason is due to the procedure presented in [

By comparing our predictions with the experimental data, we conclude that both scenarios are ruled out.

In conclusion, we calculated the strong coupling constants of negative parity

T. M. Aliev’s permanent address is Institute of physics, Baku, Azerbaijan.

The authors declare that there are no conflicts of interest regarding the publication of this paper.

The authors acknowledge METU-BAP Grant no. 01-05-2017004.

^{0}

_{c}States Decaying to

^{+}

_{c}K

^{−}

^{0}

_{c}Baryons from Lattice QCD

_{c}baryons

^{0}

_{c }resonances

^{0}

_{c}in the chiral quark model

_{c}states through their decays

_{c}states with QCD sum rules

_{b}baryons

^{*}D

^{*}B