Strange molecular partners of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>P</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:math> states in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>γ</mml:mi><mml:mi>p</mml:mi><mml:mo>→</mml:mo><mml:mi>ϕ</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math> reaction

Abstract

Based on the high-statistics data of the CLAS Collaboration on the $\ensuremath{\gamma}p\ensuremath{\rightarrow}\ensuremath{\phi}p$ reaction in the center-of-mass energy range of 2.2 GeV to 2.8 GeV, we investigate the possible existence of strange molecular partners of ${P}_{c}$ states, i.e., ${N}^{*}(2080)$ and ${N}^{*}(2270)$ as ${K}^{*}\mathrm{\ensuremath{\Sigma}}$ and ${K}^{*}{\mathrm{\ensuremath{\Sigma}}}^{*}$ molecular states. In addition to the $t$-channel Pomeron exchange, $t$-channel meson exchange including pseudoscalar meson $(\ensuremath{\pi},\ensuremath{\eta})$, scalar meson $[\ensuremath{\sigma},{a}_{0}(980),{f}_{0}(980)]$, axial-vector meson ${f}_{1}(1285)$, tensor meson ${f}_{2}(1270)$, as well as $s$- and $u$-channel proton exchange, the inclusion of the $s$-channel ${N}^{*}(2080)$ and ${N}^{*}(2270)$ states can fit the data very well. The fitted coupling constants of these ${N}^{*}$ molecular states to $p\ensuremath{\phi}$ and $\ensuremath{\gamma}p$ are consistent with the results calculated directly from the relevant hadronic triangle diagrams of the hadronic molecular picture.

Topics & Concepts