Probing new types 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 inspired by the interaction between an <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>S</mml:mi></mml:math>-wave charmed baryon and an anticharmed meson in a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mover><mml:mi>T</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:math> doublet state
Fu-Lai Wang, Rui Chen, Zhan-Wei Liu, Xiang Liu
Abstract
Inspired by the observations of three ${P}_{c}$ states, we systematically investigate interactions between an $S$-wave charmed baryon ${\mathcal{B}}_{c}^{(*)}={\mathrm{\ensuremath{\Lambda}}}_{c}/{\mathrm{\ensuremath{\Sigma}}}_{c}/{\mathrm{\ensuremath{\Sigma}}}_{c}^{*}$ and an anticharmed meson $\overline{T}={\overline{D}}_{1}/{\overline{D}}_{2}^{*}$ with the one-pion-exchange potential model and the one-boson-exchange potential model, and search for possible new types of ${P}_{c}$ states with the structures of ${\mathcal{B}}_{c}^{(*)}\overline{T}$. Both $S\ensuremath{-}D$ wave mixing and coupled channel effects are considered. Our results suggest that in some ${\mathcal{B}}_{c}^{(*)}\overline{T}$ systems there are ideal candidates of new types of ${P}_{c}$ states---i.e., the ${\mathrm{\ensuremath{\Sigma}}}_{c}{\overline{D}}_{1}$ state with $I({J}^{P})=1/2(1/{2}^{+})$, the ${\mathrm{\ensuremath{\Sigma}}}_{c}{\overline{D}}_{2}^{*}$ state with $I({J}^{P})=1/2(3/{2}^{+})$, the ${\mathrm{\ensuremath{\Sigma}}}_{c}^{*}{\overline{D}}_{1}$ state with $I({J}^{P})=1/2(1/{2}^{+})$, and the ${\mathrm{\ensuremath{\Sigma}}}_{c}^{*}{\overline{D}}_{2}^{*}$ states with $I({J}^{P})=1/2(1/{2}^{+},3/{2}^{+})$---and we suggest that these predicted new types of ${P}_{c}$ states can be detected in the process ${\mathrm{\ensuremath{\Lambda}}}_{b}^{0}\ensuremath{\rightarrow}\ensuremath{\psi}(2S)p{\ensuremath{\pi}}^{\ensuremath{-}}$. Meanwhile, we also extend our study to the interactions between an $S$-wave charmed baryon and a charmed meson in a $T$ doublet, and we predict a series of double-charm molecular pentaquarks.