Role of pentaquark components inϕmeson production proton-antiproton annihilation reactions

Abstract

The pentaquark component uudss is included in the proton wave functions to study φ meson production proton-antiproton annihilation reactions. With all possible configurations of the uuds subsystem proposed for describing the strangeness spin and magnetic moment of the proton, we estimate the branching ratios of the annihilation reactions at rest pp → φX (X = π 0 , η, ρ 0 , ω) from atomic pp S-and P -wave states by using effective quark line diagrams incorporating the 3 P0 model. The best agreement of theoretical prediction with the experimental data is found when the pentaquark configuration of the proton wave function takes the flavor-spin symmetry [4]F S [22]F [22]S . a Corresponding author: yupeng@sut.ac.th

Pentaquark components in low-lying baryon resonances

“…It's noted that the hidden-charm pentaquark mass spectra in this work is slightly higher than the three narrow pentaquark-like states, P c (4312) + , P c (4440) + and P c (4457) + measured by LHCb. The predicted values of 4483 and 4495 MeV for the lowest hidden-charm pentaquark in the [21] lying below the threshold of a single bottom baryon and B(B * ) mesons, which is consistent with other work [40]. The newly observed P c states by the LHCb collaboration have been largely interpreted as hadronic molecule states since there are abundant charmed meson and charmed baryon thresholds available [26].…”

“…A group theory approach to construct the wave functions for baryon and pentaquark states has been described in Refs. [19][20][21][22], and we refer the readers to those works for details. Here, we just present the general Hamiltonian for multiquark systems,…”

“…The total spatial wave function of pentaquarks may take the form, which is simply the product of the q 3 spatial wave function shown in Table XIII The spatial wave functions of the q 3 subsystem of q 3 QQ pentaquarks with the permutation symmetries [3] S are listed in Table XIII up to N ′ = 22, where l ρ , l λ , and are L ′ are limited to 0, 1 and 2 only. To save space, we show only the symmetric spatial wave function while the spatial wave function for other possible permutation symmetries { [21] ρ,λ , and [111] A will not be specified here. Note that we have set M ′ = 0 and used the abbreviation, {ni,li,mi} C nρ,lρ,mρ,n λ ,l λ ,m λ ψ nρlρmρ ( ρ )ψ n λ l λ m λ ( λ ) ≡ {ni,li} C nρ,lρ,n λ ,l λ ψ(n ρ , l ρ , n λ , l λ ) ≡ {ni,li} C nρ,lρ,n λ ,l λ (n ρ , l ρ , n λ , l λ ) (B7)…”

“…In this work we study the role of pentaquark components in low-lying baryon resonance states. The constructions of light pentaquark wave functions in the Yamanouchi technique have been formulated in the previous works [19][20][21][22]. As a consequence, the light baryon resonance spectrum is newly reproduced by mixing three quark and pentaquark components.…”

P c resonances in the compact pentaquark picture

“…The kinematical phase-space factor in Eq. ( 10) has been fitted to the cross section of various pp annihilation channels [25] and applied successfully to other works [26][27][28]. The numerical values of the kinematical phase-space factor are shown in Appendix B for the masses of P c (4312) P c (4440) and P c (4457) resonances and various decay channels.…”