The Regge Trajectories and Leptonic Widths of the Vector $$\varvec{s}\bar{\varvec{s}}$$ Mesons

Abstract

The spectrum of the ss mesons is studied performing a phenomenological analysis of the Regge trajectories defined for the excitation energies. For the φ(3 3 S 1) state the mass M(φ(3S)) = 2100(20) MeV and the leptonic width Γ ee (φ(3S)) = 0.27(2) keV are obtained, while the mass of the 2 3 D 1 state, M(φ(2 3 D 1)) = 2180(5) MeV, appears to be in agreement with the mass of the φ(2170) resonance, and its leptonic width, Γ ee (2 3 D 1) = 0.20 ± 0.10 keV, has a large theoretical uncertainty, depending on the parameters of the flattened confining potential. 1 Introduction Recently BES III observed a new resonant structure in the J/ψ → φη η decays in the φη invariant mass distribution, denoted as X (2000) [1]. The quantum numbers of X (2000) are not fixed yet and two possibilities are presented. First, assuming the state

Mass spectrum and strong decays of strangeonium in a constituent quark model *

“…Recently, the vector meson resonance (often denoted in the literature) was also confirmed in the , , , and final states by the BE-SIII Collaboration [11,12]. This state might be a candidate for the or state [6,[13][14][15][16]. It should be mentioned that some forthcoming experiments from other collaborations, including COMPASS, BelleII, GlueX, and PANDA, will also provide more opportunities to study the states.…”

“…There are long-standing puzzles about the nature of . Many interpretations, such as a conventional or state [6,[13][14][15][16], an hybrid state [96,97], a tetraquark state [98][99][100][101][102][103][104][105], a bound state [106][107][108], or a resonant state of the system [109,110], have been widely discussed in the literature. However, no interpretation has yet been established.…”

Proton and neutron form factors with quark orbital excitations

“…For the mesons the corresponding Hamiltonian was obtained in [42] and with inclusion of external electromagnetic field in [43]. The numerous meson spectra, obtained within this method, have been discussed in [27,20,21] and recently reviewed in [22,23]. We write the total Hamiltonian of the baryon as…”

“…In what follows we shall be using for baryons the instantaneous Hamiltonian formalism, implying that 1) a baryon can be described at all Q by a small set of the wave functions, which are the eigenfunctions of the same QCD Hamiltonian with instantaneous interaction, obtained from relativistic path integral [18]. This method was extensively used to calculate the meson masses and wave func-tions [19,20,21] and has allowed to obtain numerous data with good agreement with experiment [22,23].…”

The ground states and the first radially excited states of D-wave vector $ρ$ and $ϕ$ mesons

“…Later, its existence was confirmed by Belle [12], BESII [13] and BESIII [14,15] Collaborations. Since the observation of φ(2170), scientists have made considerable efforts to understand its natrue and have proposed many interpretations such as a conventional 3 3 S 1 or 2 3 D 1 ss state [16][17][18][19][20][21][22][23], an ssg hybrid [24,25], a tetraquark state [26][27][28][29][30][31][32][33][34][35], a ΛΛ bound state [36][37][38][39], as well as φKK [40,41] and φf 0 [42] resonances. Recently, Particle Data Group categorized it as a vector ss meson with a mass of 2.16 GeV [43].…”