The structure of the X(3872) as explained by a Diffusion Monte Carlo calculation

Abstract

Two decades after its unexpected discovery, the properties of the $X(3872)$ exotic resonance are still under intense scrutiny. In particular, there are doubts about its nature as an ensemble of mesons or having any other internal structure. We use a Diffusion Monte Carlo method to solve the many-body Schrödinger equation that describes this state as a $c\bar{c}n\bar{n}$ ($n=u$ or $d$ quark) system. This approach accounts for multi-particle correlations in physical observables avoiding the usual quark-clustering assumed in other theoretical techniques. The most general and accepted pairwise Coulomb$+$linear-confining$+$hyperfine spin-spin interaction, with parameters obtained by a simultaneous fit of around 100 masses of mesons and baryons, is used. The $X(3872)$ contains light quarks whose masses are given by the mechanism responsible of the dynamical breaking of chiral symmetry. The same mechanisms gives rise to Goldstone-boson exchange interactions between quarks that have been fixed in the last 10-20 years reproducing hadron, hadron-hadron and multiquark phenomenology. It appears that a meson-meson molecular configuration is preferred but, contrary to the usual assumption of $D^0{\bar{D}}^{\ast 0}$ molecule for the $X(3872)$, our formalism produces $\omega J/\psi$ and $\rho J/\psi$ clusters as the most stable ones, which could explain in a natural way all the observed features of the $X(3872)$.

6 pages, 1 figure

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Cited by in corpus (8)

• Tetraquark bound states in constituent quark models: benchmark test calculations
• Ground state baryons in the flux-tube three-body confinement model using Diffusion Monte Carlo
• Diffusion Monte Carlo calculations of fully-heavy compact hexaquarks
• Doubly heavy tetraquark states in the constituent quark model using diffusion Monte Carlo method
• Masses and Magnetic Moments of Doubly Heavy Tetraquarks via Diffusion Monte Carlo Method
• The $\mathbf{X}(3872)$'s excitation and its connection with production at hadron colliders
• ${\bar{B}}^0\to {\bar{K}}^{(\ast )0}X$, $B^{-}\to K^{(\ast )-}X$, ${\bar{B}}_s^0\to \eta ({\eta }^{\prime },\varphi )X$ from the $X(3872)$ molecular perspective
• Probing the structure of $X(3872)$ in photoproduction