Search for the glueball content of hadrons inγpinteractions at GlueX

Abstract

We suggest a theoretical framework for the description of double photon and proton-antiproton photoproduction off the proton γ + p → 2γ + p and γ + p →pp + p which takes into account the contribution of the scalar mesons f0(1370), f0(1500) and f0 (1710). These scalars are considered as mixed states of a glueball and nonstrange and strange quarkonia. Our framework is based on the use of effective hadronic Lagrangians that phenomenologically take into account two-gluon exchange effects governing the γ + p → 2γ + p and γ + p →pp + p processes. Present results can be used to guide the possible search for these reactions by the GlueX Collaboration at JLab.

Role of scalar mesons in the beam asymmetry of pp¯ and ΛΛGutsche1, Kuleshov2, Lyubovitskij3 et al. 2017Phys. Rev. DSelf Cite

“…In Ref. [8] we dropped the s 2 and t dependence of the corresponding form factors. However, in accordance with quark counting rules [10][11][12], the form factors g f BB (s 2 ) and g f V (A)γ (t) should scale at large s 2 and t as…”

“…was considered in our recent work [8]. Here, M || and M ⊥ are the matrix elements for the PARA and PERP orientations of photoproduction, α = 1/137.036 is the fine-structure constant, and m B is the mass of the produced baryon.…”

Modelling glueballs

“…[33] by using an approach based on the AdS/QCD correspondence. Future information from the GlueX experiment is expected [40].…”

Asymptotic of the electric structure function and the deuteron wave function

“…A theoretical studies of the value A(p) in ed-scattering using modern theoretical approaches and approximations remains relevant [7,8,9,10,11]. In this paper, we use the analytic forms of the deuteron wave function (DWF) in coordinate representation for theoretical calculations of electric structure function A(p) and its asymptotic at large momentums in the elastic electron-deuteron scattering.…”

“…3. Asymptotic of the electric structure function In quantum chromodynamics (QCD) [39,11], with large momentums, asymptotic values and their relations for the structure functions and for deuteron FFs are written as:…”