Abstract
We analyze the decay modes of the three $[\frac 12\frac 12^-]_{S=0,1}$ and $[\frac 12\frac 32^-]_{S=1}$ non-strange pentaquarks with hidden charm and bottom, predicted by holographic QCD in the heavy quark limit. In leading order, the pentaquarks %are composed of heavy-light mesons in bulk bound to an instanton core. They are degenerate and stable by heavy quark symmetry. At next to leading order, the spin interactions lift the degeneracy and cause the pentaquarks to decay. We show that the open charm (bottom) decay modes dwarf the hidden charm (bottom) ones, with total widths that are consistent with those recently reported by LHCb for charm pentaquarks. Predictions for bottom pentaquarks are given.
Highlights
The LHCb high statistics analysis [1] shows that the previously reported Pþc ð4450Þ [2] splits into two narrow peaks Pþc ð4440Þ and Pþc ð4457Þ just below the Σþc D Ã0 threshold, with the appearance of a new and narrow Pþc ð4312Þ state right below the Σþc D 0
Our recent reanalysis of the charm and bottom pentaquark states including the spin effects, to which we refer for completeness [18]
II we briefly review the essential aspects of the holographic construction in leading order in the heavy quark mass
Summary
The LHCb high statistics analysis [1] shows that the previously reported Pþc ð4450Þ [2] splits into two narrow peaks Pþc ð4440Þ and Pþc ð4457Þ just below the Σþc D Ã0 threshold, with the appearance of a new and narrow Pþc ð4312Þ state right below the Σþc D 0. The three reported pentaquark states become degenerate and stable by heavy quark symmetry. In the heavy quark limit, the pentaquarks with hidden charm and bottom are degenerate, heavy and stable [11,12,19,20]. Our recent reanalysis of the charm and bottom pentaquark states including the spin effects, to which we refer for completeness [18]. The organization of the paper is as follows: In Sec. II we briefly review the essential aspects of the holographic construction in leading order in the heavy quark mass. We derive a number of model independent ratios for the decay modes for both charm and bottom pentaquarks
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