Strong decay of P(4380) pentaquark in a molecular picture

Abstract

There are different assumptions on the substructure of the pentaquarks Pc(4380) and Pc(4450), newly founded in J/ψN invariant mass by the LHCb collaboration, giving consistent mass results with the experimental observations. The experimental data and recent theoretical studies on their mass suggest interpretation of these states as spin-3/2 negative-parity and spin-5/2 positive-parity pentaquarks, respectively. There may exist opposite-parity states corresponding to these particles, as well. Despite a lot of studies, however, the nature and internal organization of these pentaquarks in terms of quarks and gluons are not clear. To this end we need more theoretical investigations on other physical properties of these states. In this accordance, we study a strong and dominant decay of the Pc(4380) to J/ψ and N in the framework of three point QCD sum rule method. An interpolating current in a molecular form is applied to calculate six strong coupling form factors defining the transitions of the positive and negative parity spin-3/2 pentaquark states. The values of the coupling constants are used in the calculation of the decay widths of these transitions. The obtained results are compared with the existing experimental data.

How to reveal the nature of three or more pentaquark states

“…From the updated results, one can see that the original peak of P c ð4450Þ is now split into two states of P c ð4440Þ and P c ð4457Þ, and a fluctuation observed in the original spectrum has given rise to a new narrow resonance P c ð4312Þ, whereas, the broad P c ð4380Þ can neither be confirmed nor refuted in the new spectrum [32], where some structures around this energy region can also be seen. Regardless, there are many theoretical supports from QCD sum rules for the P c ð4380Þ resonance [33][34][35][36][37][38].…”

Beautiful mathematics for beauty-full and other multi-heavy hadronic systems

“…The studies predict a hidden charm/bottom structure together with two or three light quarks for the tetraquark or pentaquark states newly discovered by experiments. However, there are many contradictory suggestions on the quark organizations of these states in the literature (for more information see for example [16][17][18] and references therein). Hence, we need more study on the spectroscopic and decay properties of the newly founded exotic and heavy baryonic states.…”

The study of doubly charmed pentaquark $$c c {\bar{q}}qq$$ with the SU(3) symmetry

“…So far, numerous theoretical interpretations of the nature of the pentaquark followed the discoveries, including hadronic molecules [3,4], compact pentaquarks states [5,6], hadroa e-mail: xingye_guang@cumt.edu.cn (corresponding author) b e-mail: nyk@cumt.edu.cn charmonia [7], and cusp effects [5]. Many theoretical studies devoted to the pentaquark have achieved remarkable results, for instance, effective field theory discuss the possible configurations of pentaquark [3,8,9], QCD sum rules study the masses of P c (4380) pentaquark [10,11], and quark model study the masses [12][13][14], etc. At present, the discovered pentaquarks are largely what is called hidden charmed pentaquark with charmed quarks pair c c, the states with two heavy charmed quarks P(cc qqq) are similarly available in quark model.…”