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Paper IPM / Particles / 17036

School of Particles and Accelerator

Title:

Is the resonance X0(2900) a ground-state or radially excited scalar tetraquark [ud][c\textasciimacron{}s\textasciimacron{}]?

Author(s):

1.	S. S Agaev
2.	Kazem Azizi
3.	H Sundu

Status:

Published

Journal:

Phys. Rev. D

No.:

1, 014019

Vol.:

106

Year:

2022

Supported by:

IPM

Abstract:

We investigate properties of the ground-state and first radially excited four-quark mesons

$X_0$ and

$X_0^{\prime}$ with a diquark-antidiquark structure

$[ud][\overline{c}\overline{s}]$ and spin-parities

$J^{\mathrm{P}}=0^{+}$ . Our aim is to reveal whether or not one of these states can be identified with the resonance

$X_0(2900)$ , recently discovered by the LHCb collaboration. We model

$X_0$ and

$X_0^{\prime}$ as tetraquarks composed of either axial-vector or scalar diquark and antidiquark pairs. Their spectroscopic parameters are computed by employing the QCD two-point sum rule method and including into analysis vacuum condensates up to dimension

$15$ . For an axial-axial structure of

$X_0^{(\prime)}$ , we find partial widths of the decays

$X_0^{(\prime)} \to D^{-}K^{+}$ and

$X_0^{(\prime)} \to D^{0}K^{0}$ , and estimate full widths of the states

$X_0^{(\prime)}$ . To this end, we calculate the strong couplings at the vertices

$X_0^{(\prime)}DK$ in the framework of the light-cone sum rule method. We use also technical approaches of the soft-meson approximation necessary to analyze tetraquark-meson-meson vertices. Obtained results

$m=(2545 \pm 160)~ \mathrm{MeV}$ and

$m^{\prime}=(3320 \pm 120)~\mathrm{MeV}$ [

$m_{\mathrm{S}}=(2663 \pm 110)~\mathrm{MeV}$ and

$m_{\mathrm{S}}^{\prime}=(3325 \pm 85)~\mathrm{MeV}$ for a scalar-scalar current] for the masses of the particles

$X_0$ and

$X_0^{\prime}$ , as well as estimates for their full widths

$\Gamma_{0}=(140 \pm 29)~\mathrm{MeV}$ and

$\Gamma_{0}^{\prime}=(110 \pm 25)~\mathrm{MeV}$ allow us to interpret none of them as the resonance

$X_0(2900)$ . At the same time, these predictions provide important information about ground-state and radially excited diquark-antidiquark structures

$X_0$ and

$X_0^{\prime}$ , which should be objects of future experimental and theoretical studies.

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“School of Particles”

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