Elastic proton-proton scattering at LHC energies in holographic QCD

Abstract

The cross sections of the high energy proton-proton scattering are studied in a holographic QCD model, focusing on the Regge regime. In our model setup, the involved nonperturbative partonic dynamics is described by the Pomeron exchange, which is realized by applying the Reggeized spin-2 particle propagator together with the proton gravitational form factor obtained from the bottom-up AdS/QCD model. Our model includes three adjustable parameters which are to be fitted by experimental data. We show that both the resulting differential and total cross sections are consistent with data, including the ones recently measured at √ s = 13 TeV by the TOTEM collaboration at the LHC. Our results imply that the present framework works well in the considered TeV scale, and further applications to other high energy scattering processes, in which the involved strong interaction can be approximated by the Pomeron exchange, are possible.

$ϕ$-meson lepto-production near threshold and the strangeness $D$-term

“…It has been argued that the near-threshold photo-production of a heavy quarkonium (see [8] for an ongoing experiment) is sensitive to the gluon gravitational form factors P |T µν g |P where T µν g is the gluon part of the QCD energy momentum tensor [9][10][11] (see also [12,13]). In lepto-production at high-Q 2 , this connection can be cleanly established by using the operator product expansion (OPE) [14].…”

Elastic pion-proton and pion-pion scattering at high energies in holographic QCD

“…In the present model, there are four parameters in total, α c (0), α c , λ π , and λ p , which need to be determined by the experimental data. However, the three of those were determined in the preceding study of the proton-proton scattering [37], and we can use the resulting values for the pion-proton and pion-pion cases by virtue of the universality of the Pomeron. In Ref.…”

“…We extend the work presented in Ref. [37], in which the elastic proton-proton scattering was studied in a holographic QCD model, and investigate the pion-proton and pionpion scattering, focusing on the Regge regime. In our model, the Pomeron is described by the Reggeized spin-2 particle propagator, and the proton-Pomeron and pion-Pomeron couplings are given by gravitational form factors of the proton and pion, which can be obtained from the bottom-up AdS/QCD models [40,41].…”

“…There are four parameters in our model, but for three of them, one is the proton-Pomeron coupling constant and two characterize the Pomeron trajectory, we use the values determined in Ref. [37] by virtue of the universality of the Pomeron. Hence, the pion-proton cross sections can be expressed with a single adjustable parameter, which controls the magnitudes of them.…”

The effect of gluon condensate on imaginary potential and thermal width from holography

“…However, QCD theory is a strong coupling theory. Gauge/gravity duality [20][21][22][23], breaking the conformal symmetry at low energy, provides a very important a email: yanqzhao@qq.com b email: zhuzhourun@mails.ccnu.edu.cn c email: chenxun@ihep.ac.cn tool to research the properties of hadron physics in a strong coupling systems [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]. Many scholars used holographic approach to study imaginary potential by considering various background like taking into account of chemical potential [44], they observed that the presence of the chemical potential decreases the dissociation length.…”