Is X(3872) really a molecular state?

By Yan-Rui Liu, Xiang Liu, W. Deng, Shi-Lin Zhu. 2008

145 citations recorded by the source corpus.

After taking into account both the pion and sigma meson exchange potential, we have performed a dynamical calculation of the D0D̄*0 system. The σ meson exchange potential is repulsive from heavy quark symmetry and numerically important for a loosely bound system. Our analysis disfavors the interpretation of X(3872) as a loosely bound molecular state if we use the experimental D*Dπ coupling constant g=0.59 and a reasonable cutoff around 1 GeV, which is the typical hadronic scale. Bound state solutions with negative eigenvalues for the DD̄* system exist only with either a very large coupling constant (twice the experimental value) or a large cutoff (Λ ∼ 6 GeV or β ∼ 6 GeV2). In contrast, there probably exists a loosely bound S-wave BB̄* molecular state. Once produced, such a molecular state would be rather stable, since its dominant decay mode is the radiative decay through B*→Bγ. Experimental search of these states will be very interesting.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/674f7929ba6b823d96d242e3016b19354a5753df

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

1. Xiang Liu
2. Shi-Lin Zhu
3. R. Mitchell
4. S. Olsen
5. Alessandro Pilloni
6. Hua-Xing Chen
7. Wei Chen
8. E. Swanson

Citations in the corpus

• The hidden-charm pentaquark and tetraquark states (2016, methodology): “In other words, the BB̄∗ meson pairs are easier and more likely to form a loosely bound molecular state than the DD̄∗ [220].”
• Multiquark Resonances (2016, background): “For example, it has been shown [70, 71] that the presence of a shallow bound state corresponding to the X(3872) is not certain, as the results strongly depend on the value of the phenomenological cut-offs that one introduces in the regulator of the potential as well as in the vertex form factor.”
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks (2019, methodology): “By borrowing the experience of studying nuclear force, the OBE model was developed to investigate these observed charmoniumlike XYZ states [19–24].”
• Heavy-quark QCD exotica (2016, background): “models, the first calculation including σ exchange to represent intermediate-range attraction appeared in 2008 [222] and”
• Nonstandard heavy mesons and baryons: Experimental evidence (2017, background): “which were proposed even before these states were observed (343; 344).”