Abstract (data abstract)

Investigating the nature of the K$^*_0(700)$ state with $\pi^\pm$ K$^0_{\rm S}$ correlations at the LHC. -- The first measurements of femtoscopic correlations with the particle pair combinations $\pi^\pm$ K$^0_{\rm S}$ in pp collisions at $\sqrt{s}=13$ TeV at the Large Hadron Collider are reported by the ALICE experiment. Using the femtoscopic approach, it is shown that it is possible to study the elusive K$^*_0(700)$ particle that has been considered a tetraquark candidate for over forty years. Boson source parameters and final-state interaction parameters are extracted by fitting a model assuming a Gaussian source to the experimentally measured two-particle correlation functions. The final-state interaction is modeled through a resonant scattering amplitude, defined in terms of a mass and a coupling parameter, decaying into a $\pi^\pm$K$^0_{\rm S}$ pair. The extracted mass and Breit--Wigner width, derived from the coupling parameter, of the final-state interaction are found to be consistent with previous measurements of the K$^*_0(700)$. The small value and increasing behavior of the correlation strength with increasing source size support the hypothesis that the K$^*_0(700)$ is a four-quark state, i.e. a tetraquark state. This latter trend is also confirmed via a simple geometric model that assumes a tetraquark structure of the K$^*_0(700)$ resonance.

Table 1

Page 6 of preprint, top left panel.

10.17182/hepdata.153749.v1/t1

Experimental $C(k^*)$, 0-100% mult. class, $k_{\rm T}>0$.
Table 2

Page 6 of preprint, top left panel.

10.17182/hepdata.153749.v1/t2

PYTHIA $C(k^*)$, 0-100% mult. class, $k_{\rm T}>0$.
Table 3

Page 6 of preprint, top center panel.

10.17182/hepdata.153749.v1/t3

Experimental $C(k^*)$, 0-100% mult. class, $k_{\rm T}<0.5$ GeV/$c$.
Table 4

Page 6 of preprint, top center panel.

10.17182/hepdata.153749.v1/t4

PYTHIA $C(k^*)$, 0-100% mult. class, $k_{\rm T}<0.5$ GeV/$c$.
Table 5

Page 6 of preprint, top right panel.

10.17182/hepdata.153749.v1/t5

Experimental $C(k^*)$, 0-5% mult. class, $k_{\rm T}<0.5$ GeV/$c$.
Table 6

Page 6 of prepring, top right panel.

10.17182/hepdata.153749.v1/t6

PYTHIA $C(k^*)$, 0-5% mult. class, $k_{\rm T}<0.5$ GeV/$c$.
Table 7

Page 6 of preprint, bottom left panel.

10.17182/hepdata.153749.v1/t7

$C'(k^*)$, 0-100% mult. class, $k_{\rm T}>0$.
Table 8

Page 6 of preprint, bottom center panel.

10.17182/hepdata.153749.v1/t8

$C'(k^*)$, 0-100% mult. class, $k_{\rm T}<0.5$ GeV/$c$.
Table 9

Page 6 of preprint, bottom right panel.

10.17182/hepdata.153749.v1/t9

$C'(k^*)$, 0-5% mult. class, $k_{\rm T}<0.5$ GeV/$c$.
Table 10

Page 8 of preprint, left panel.

10.17182/hepdata.153749.v1/t10

$C'(k^*)-\epsilon\frac{dN_{\rm BW}}{dk^*}$, 0-100% mult. class, $k_{\rm T}>0$.
Table 11

Page 8 of preprint, center panel.

10.17182/hepdata.153749.v1/t11

$C'(k^*)-\epsilon\frac{dN_{\rm BW}}{dk^*}$, 0-100% mult. class, $k_{\rm T}<0.5$ GeV/$c$.
Table 12

Page 8 of preprint, right panel.

10.17182/hepdata.153749.v1/t12

$C'(k^*)-\epsilon\frac{dN_{\rm BW}}{dk^*}$, 0-5% mult. class, $k_{\rm T}<0.5$ GeV/$c$.

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