Role of pentaquark components in $\varphi$ meson production proton-antiproton annihilation reactions

The pentaquark component $\mathit{uuds}\overline{s}$ is included in the proton wave functions to study $\varphi$ meson production proton-antiproton annihilation reactions. With all possible configurations of the $\mathit{uuds}$ subsystem proposed for describing the strangeness spin and magnetic moment of the proton, we estimate the branching ratios of the annihilation reactions at rest $p\overline{p}\to \varphi X$ ($X={\pi }^0,\eta ,{\rho }^0,\omega$) from atomic $p\overline{p} S$- and $P$-wave states by using effective quark line diagrams incorporating the ${}^3{P}_0$ model. The best agreement of theoretical prediction with the experimental data is found when the pentaquark configuration of the proton wave function takes the flavor-spin symmetry ${\left[4\right]}_{\mathrm{FS}}{\left[22\right]}_F{\left[22\right]}_S$.

Figure 1

The quark line diagram corresponding to the production of two meson final states in $p\overline{p}$ annihilation [17, 20]. The dots refer to the effective vertex of the ${}^3{P}_0$ for $q\overline{q}$ pairs destroyed with the quantum numbers of the vacuum: ${}^3{P}_0$, isospin $I=0$, and color singlet [21].