Regge phenomenology of theN*andΔ*poles

Abstract

We use Regge phenomenology to study the structure of the poles of the N * and ∆ * spectrum. We employ the available pole extractions from partial wave analysis of meson scattering and photoproduction data. We assess the importance of the imaginary part of the poles (widths) to obtain a consistent determination of the parameters of the Regge trajectory. We compare the several pole extractions and show how Regge phenomenology can be used to gain insight in the internal structure of baryons. We find that the majority of the states in the parent Regge trajectories are compatible with a mostly compact three-quark state picture.

Hadron resonances as rovibrational states *

“…In addition, it also predicts the 6S state with n = 5, = 1/2 + , and m = 2563 MeV. The resonances Ʃ(1660), Ʃ(1770), and Ʃ(1880) are associated with the first three Ʃ radial excitations, in agreement with the relativistic interacting quark-diquark model [27]. In the PDG, the state (70, ) is associated with the Ʃ(1880) resonance, whereas Klempt and Richard [29] associated this state with the Ʃ(1770) resonance.…”

“…The π orbital excitations are associated with the resonances b(1235), π 2 (1670), b 3 (2030), and π 4 (2250); the last two are listed as "Further States" in the PDG. Orbital Regge trajectory calculations lead to this same grouping [6,[24][25][26][27][28]. The K orbital excitations are associated with resonances K 1 (1270), K 2 (1770), K 3 (2320), and K 4 (2500).…”

Spectroscopic properties of $Δ$ Baryons

“…An important property concluded from baryon spectrum is the plot of J, total angular momentum against M 2 as well as principle quantum number n against M 2 . These lines are so far observed to be linear and nonintersecting for light baryon spectrum [43]. These plots provide a confirmation between experimental and theoretical predicted masses of excited state with their respective quantum numbers [44].…”

Novel approaches in Hadron Spectroscopy

“…The second plot provides additional insight, specially regarding the two Λ(1405) poles. In [207,228] it is argued that linearity in the Chew-Frautschi plot is not enough for a three-quark interpretation, but since most of its width should be due to the phase space contribution, a square-root-like behavior should emerge in when plotting spin vs. imaginary part of the pole. It is apparent how a square-root like behavior is generally followed.…”

“…The nonstrange light baryon spectrum can be studied in the same way [228]. The pole extraction can be taken from several partial wave analyses of meson scattering and photoproduction data available in the literature [224,225,[229][230][231][232][233].…”