Role of theN*(1535)in theJ/ψ→p

Abstract

We study the J/ψ →pηp and J/ψ →pK + Λ reactions with a unitary chiral approach. We find that the unitary chiral approach, which generates the N * (1535) dynamically, can describe the data reasonably well, particularly the ratio of the integrated cross sections. This study provides further support for the unitary chiral description of the N * (1535). We also discuss some subtle differences between the coupling constants determined from the unitary chiral approach and those determined from phenomenological studies.

Coupling strength of theN*(1535)S11to theK+Λc

“…However, the present result is consistent with the results from the unitary chiral approach of the J/ψ decays [8] and the partial wave analysis of kaon photoproduction, i.e., R = 0.5 ∼ 0.7. We also note that the product of g γpN * g N * ΛK + extracted from the K + Λ photoproduction in a recent isobar analysis [12] is even smaller than the present result (see [6], the former was interpreted as a measure of the strength of the KΛ component in the N * (1535)S 11 wave function, whereas the latter was considered as the fitted coupling strength near the KΛ threshold [8]. The result of the present isobar model given in Eq.…”

“…0.8 ∼ 2.6 [8,10]. However, the present result is consistent with the results from the unitary chiral approach of the J/ψ decays [8] and the partial wave analysis of kaon photoproduction, i.e., R = 0.5 ∼ 0.7.…”

“…However, we observe that in literature the values of this ratio are wildly scattered. For instance, the unitary chiral approach found R = 0.5 ∼ 0.7 [8]. A similar result was obtained by the partial wave analysis of kaon photoproduction [9], whereas a coupled-channels calculation predicted R = 0.8 ∼ 2.6 [8,10].…”

“…For instance, the unitary chiral approach found R = 0.5 ∼ 0.7 [8]. A similar result was obtained by the partial wave analysis of kaon photoproduction [9], whereas a coupled-channels calculation predicted R = 0.8 ∼ 2.6 [8,10]. On the other hand, the result of the s-wave pion-nucleon scattering analysis in a unitarized chiral effective Lagrangian indicates that |g N * (1535)ΛK + | 2 > |g N * (1535)ηp | 2 [11].…”

Nucleon resonances in theγp→ϕK+Λreaction near threshold

“…From the J/ψ decays within the chiral unitary approach, Ref. [20] gives R = 0.5 ∼ 0.7. Based on the partial wave analysis of kaon photonproduction, Ref.…”