On the nature of X(3960)

Abstract

A near-threshold enhancement in the $D_s^{+}{D}_s^{-}$ system, dubbed as $X(3960)$, is observed by the LHCb collaboration recently. A combined analysis on ${\chi }_{c0}(3930)(\to D^{+}{D}^{-})$, $X(3960)(\to D_s^{+}{D}_s^{-})$, and $X(3915)(\to J/\psi \omega )$ is performed using both a $K$-matrix approach of $D_{(s)}{\bar{D}}_{(s)}$ four-point contact interactions and a model of Flatté-like parameterizations. The use of the pole counting rule and spectral density function sum rule indicate, under current statistics, that this $D_s^{+}{D}_s^{-}$ near-threshold state has probably the mixed nature of a $c\bar{c}$ confining state and $D_s^{+}{D}_s^{-}$ continuum.

arXiv comment8 pages, 4 figures, 5 tables

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Cited by in corpus (5)

• Heavy- and light-flavor symmetry partners of the $T_{cc}^{+}(3875)$, the $X(3872)$ and the $X(3960)$ from light-meson exchange saturation
• $X(3960)$, $X_0(4140)$, and other compact $cs\bar{c}\bar{s}$ states
• Study of the $B^{-}\to K^{-}\eta {\eta }_c$ decay due to the $D\bar{D}$ bound state
• The ground states of hidden-charm tetraquarks and their radial excitations
• Three-body final state interactions in $B^{+}\to D\bar{D}{K}^{+}$ decays