Indication of a p-$\varphi$ bound state from a correlation function analysis

Abstract

The existence of a nucleon-$\varphi$ (N-$\varphi$) bound state has been subject of theoretical and experimental investigations for decades. In this letter, indication of a \pphi bound state is found, using for the first time two-particle correlation functions as alternative to invariant mass spectra. Newly available lattice calculations for the spin 3/2 \Nphi interaction by the HAL QCD collaboration are used to constrain the spin 1/2 counterpart from the fit of the experimental \pphi correlation function measured by ALICE. The corresponding scattering length and effective range are $f_0^{(1/2)}=\left(-1.54_{-0.53}^{+0.53}(stat.{)}_{-0.09}^{+0.16}(syst.)+i\cdot 0.00_{-0.00}^{+0.35}(stat.{)}_{-0.00}^{+0.16}(syst.)\right)$~fm and $d_0^{(1/2)}=\left(0.39_{-0.09}^{+0.09}(stat.{)}_{-0.03}^{+0.02}(syst.)+i\cdot 0.00_{-0.04}^{+0.00}(stat.{)}_{-0.02}^{+0.00}(syst.)\right)$~fm, respectively. The results imply the appearance of a \pphi bound state with an estimated binding energy in the range of $12.8-56.1$ MeV.

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Cited by in corpus (13)

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• Examination of the $\varphi -NN$ bound-state problem with lattice QCD $N-\varphi$ potentials
• Searching for femtoscopic signatures of the $D\bar{D}(I=0)[X(3700)]$ bound state
• Exploring the $\varphi \text{-}\alpha$ interaction via femtoscopic study
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• Low-energy $N\varphi$ scattering from a pole-enhanced triangle diagram