LHCb pentaquarks as a baryon-ψ(2S)bound state: Prediction of isospin-32pentaquarks with hidden charm

Abstract

The pentaquark P + c (4450) recently discovered by LHCb has been interpreted as a bound state of Ψ(2S) and nucleon. The charmonium-nucleon interaction which provides the binding mechanism is given, in the heavy quark limit, in terms of charmonium chromoelectric polarizabilities and densities of the nucleon energy-momentum tensor (EMT). In this work we show in model-independent way, by exploring general properties of the effective interaction, that Ψ(2S) can form bound states with nucleon and ∆. Using the Skyrme model to evaluate the effective interaction in the large-Nc limit and estimate 1/Nc corrections, we confirm the results from prior work which were based on a different effective model (chiral quark soliton model). This shows that the interpretation of P + c (4450) is remarkably robust and weakly dependent on the details of the effective theories for the nucleon EMT. We explore the formalism further and present robust predictions of isospin pentaquarks with hidden charm can be observed.

Gravitational form factors of a baryon with spin-3/2

“…where the constant R 0 is determined by the profile function derived by minimizing the classical soliton mass and is given in terms of the axial coupling constant in the chiral limit [31,47].…”

Hidden-charm pentaquarks and their hidden-bottom and Bc -like partner states

“…After the announcement of the P c (4380) and P c (4450) states by LHCb, these two P c states were interpreted as Σ cD * , Σ * cD , or Σ * cD * molecules [17][18][19][20][21][22][23][24][25][26][27][28], bound states or resonances of charmonium and nucleon [29][30][31][32], diquarkdiquark-antiquark states [33][34][35][36][37][38], diquark-triquark states [39,40], compact pentaquark states [41][42][43], kinematical effects due to χ c1 p rescattering [44], due to triangle singularity [45][46][47], or due to aD-soliton [48], or a bound state of the colored baryon and meson [49]. Their decay and production properties were studied in Refs.…”

Chromo-Electric Field Energy in Quark Models

“…In the first place, we recall that those peaks have been interpreted as new resonances given by pentaquark configurations. This interpretation has been developed in the framework of the so-called hadro-quarkonium model, defined more specifically, in this case, as baryo-charmonium model; for an orientation about this model, see references [63][64][65][66][67][68][69][70][71]. But, in this concern, it is necessary to recall that also other theoretical interpretations have been proposed: in Guo et al [72,73], Liu et al [74], and Mikhasenko [75], it has been suggested that these peaks have a non-resonant nature related to the rescattering of known particles, in the triangle diagram, near kinematical thresholds.…”