Ultrarelativistic quark-nucleus scattering in a light-front Hamiltonian approach

Abstract

We investigate the scattering of a quark on a heavy nucleus at high energies using the time-dependent basis light-front quantization (tBLFQ) formalism, which is the first application of the tBLFQ formalism in QCD. We present the real-time evolution of the quark wave function in a strong classical color field of the relativistic nucleus, described as the Color Glass Condensate. The quark and the nucleus color field are simulated in the QCD SU(3) color space. We calculate the total and the differential cross sections, and the quark distribution in coordinate and color spaces using the tBLFQ approach. We recover the eikonal cross sections in the eikonal limit. We find that the differential cross section from the tBLFQ simulation is in agreement with a perturbative calculation at large $p_{\perp }$, and it deviates from the perturbative calculation at small $p_{\perp }$ due to higher-order contributions. In particular, we relax the eikonal limit by letting the quark carry realistic finite longitudinal momenta. We study the sub-eikonal effect on the quark through the transverse coordinate distribution of the quark with different longitudinal momentum, and we find the sub-eikonal effect to be sizable. Our results can significantly reduce the theoretical uncertainties in small $p_{\perp }$ region which has important implications to the phenomenology of the hadron-nucleus and deep inelastic scattering at high energies.

References in corpus (34)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• The Color Glass Condensate
• Green's Functions in the Color Field of a Large Nucleus
• The Intrinsic Glue Distribution at Very Small x
• Evolution at small x_bj: The Color Glass Condensate
• Fock Space Distributions, Structure Functions, Higher Twists and Small x
• Hamiltonian light-front field theory in a basis function approach
• Forward Quark Jets from Protons Shattering the Colored Glass
• Wilson line correlator in the MV model: relating the glasma to deep inelastic scattering
• Heavy Quarkonium in a Holographic Basis
• Gluon production in the Color Glass Condensate model of collisions of ultrarelativistic finite nuclei
• Energy density of the Glasma
• Quarkonium as relativistic bound state on the light front
• Basis Light-Front Quantization Approach to Positronium
• Diffractive Structure Function in a Quasi-Classical Approximation
• Sub-eikonal corrections to scattering amplitudes at high energy
• Small-$x$ Helicity Evolution: an Operator Treatment
• Basis light front quantization for the charged light mesons with color singlet Nambu--Jona-Lasinio interactions
• Early Time Dynamics of Gluon Fields in High Energy Nuclear Collisions
• Next-to-next-to-eikonal corrections in the CGC
• Heavy quark production by a quasi-classical color field in proton-nucleus collisions
• Scattering in Time-Dependent Basis Light-Front Quantization
• $B_c$ mesons and their properties on the light front
• Production of q bar-q Pairs in Proton-Nucleus Collisions at High Energies
• Quark jets scattering from a gluon field: from saturation to high $p_t$
• Elastic scattering of a quark from a color field: longitudinal momentum exchange
• Light projectile scattering off the Color Glass Condensate
• General Issues in Small-x and Diffractive Physics
• Valence Quark Transversity at Small $x$
• Coulomb Excitation of Deuteron in Peripheral Collisions with a Heavy Ion
• Particle distribution in intense fields in a light-front Hamiltonian approach
• Basis Light-Front Quantization for a Chiral Nucleon-Pion Lagrangian

Cited by in corpus (15)

• Advances in QED with intense background fields
• 50 Years of Quantum Chromodynamics
• Medium induced jet broadening in a quantum computer
• Quantum simulation of in-medium QCD jets: momentum broadening, gluon production, and entropy growth
• Scattering and gluon emission in a color field: a light-front Hamiltonian approach
• On the momentum broadening of in-medium jet evolution using a light-front Hamiltonian approach
• Efficient Quantum Simulation of QCD Jets on the Light Front
• Efficient and precise quantum simulation of ultra-relativistic quark-nucleus scattering
• Scattering in strong electromagnetic fields: transverse size effects in tBLFQ
• The impact of glasma on heavy flavor azimuthal correlations and spectra
• Quantum to classical parton dynamics in QCD media
• Relativistic dynamics of charmonia in strong magnetic fields
• Memory effect in Yang-Mills theory with an axion
• Quantum simulating multi-particle processes in high energy nuclear physics: dijet production and color (de)coherence
• Jet evolution in a quantum computer: quark and gluon dynamics