TY - JOUR

T1 - Nuclei in the toy world

T2 - beyond the Pomeron in zero transverse dimensions

AU - Kovner, Alex

AU - Levin, Eugene

AU - Lublinsky, Michael

N1 - Publisher Copyright:
© 2022, The Author(s).

PY - 2022/5

Y1 - 2022/5

N2 - We explore possible extensions of the t-channel and s-channel unitary model of high energy evolution in zero transverse dimensions appropriate to very high energy/atomic number where the dipole density in a toy hadron is parametrically high. We suggest that the appropriate generalization is to allow emission of more than one dipole in a single step of energy evolution. We construct explicitly such a model that preserves the t-channel and s-channel unitarity and have the correct low density limit, and study the particle multiplicity distribution resulting from this evolution. We consider initial conditions of a single dipole and many dipoles at initial rapidity. We observe that the saturation regime in this model is preceded by a parametric range of rapidities 1αsln1αs<Y<1αsln1αs2, where the saturation effects are still unimportant, but multiple emissions determine the properties of the evolution. We also discuss the influence of the saturation on the parton cascade and, in particular, find that in the saturation regime the entropy of partons becomes S ≈ 12 ln N where N is the mean multiplicity.

AB - We explore possible extensions of the t-channel and s-channel unitary model of high energy evolution in zero transverse dimensions appropriate to very high energy/atomic number where the dipole density in a toy hadron is parametrically high. We suggest that the appropriate generalization is to allow emission of more than one dipole in a single step of energy evolution. We construct explicitly such a model that preserves the t-channel and s-channel unitarity and have the correct low density limit, and study the particle multiplicity distribution resulting from this evolution. We consider initial conditions of a single dipole and many dipoles at initial rapidity. We observe that the saturation regime in this model is preceded by a parametric range of rapidities 1αsln1αs<Y<1αsln1αs2, where the saturation effects are still unimportant, but multiple emissions determine the properties of the evolution. We also discuss the influence of the saturation on the parton cascade and, in particular, find that in the saturation regime the entropy of partons becomes S ≈ 12 ln N where N is the mean multiplicity.

KW - Deep Inelastic Scattering or Small-X Physics

KW - Effective Field Theories of QCD

KW - Quark-Gluon Plasma

KW - Resummation

UR - http://www.scopus.com/inward/record.url?scp=85129367604&partnerID=8YFLogxK

U2 - 10.1007/JHEP05(2022)019

DO - 10.1007/JHEP05(2022)019

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AN - SCOPUS:85129367604

SN - 1126-6708

VL - 2022

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 5

M1 - 19

ER -