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Proton hot spots and exclusive vector meson production
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abstract
We explore consequences of the existence of gluonic hot spots inside the proton for coherent and incoherent exclusive vector meson production cross sections in deep inelastic scattering. By working in the dilute limit of the Color Glass Condensate framework to compute the cross sections for Gaussian hot spots of fluctuating color charges and employing a non-relativistic vector meson wave function, we are able to perform large parts of the calculation analytically. We find that the coherent cross section is sensitive to both the size of the target and the structure of the probe. The incoherent cross section is dominated by color fluctuations at small transverse momentum transfer ($t$), by proton and hot spot sizes as well as the structure of the probe at medium $t$ and again by color fluctuations at large $t$. While the $t$-dependence of the cross section is well reproduced in our model, the relative normalization between the coherent and the incoherent cross sections points to the need for additional fluctuations in the proton.
Forward citations
Cited by 4 Pith papers
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Precise Determination of the Proton's Gluon Cloud Geometry from HERA data
A global fit to all 104 HERA exclusive J/ψ data points resolves the proton's small-x gluon hotspots into a 0.105 fm Gaussian core plus a 0.22 fm exponential halo.
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Saturation effects in exclusive vector meson production in DIS
A dense-limit CGC hotspot calculation shows saturation mildly suppresses exclusive vector meson cross sections in ep, with suppression growing at higher color-charge density.
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Exclusive $\mathrm{J}/\psi$ production off a dilute proton within a refined hotspot description
A hot-spot model with saturation-scale and hotspot-number fluctuations plus a relativistic wave-function correction reproduces HERA exclusive J/psi data, with saturation-scale fluctuations dominating.
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Effective theories for nuclei at high energies
This paper reviews the Color Glass Condensate effective theory, covering its foundations, its role in deep inelastic scattering, and its use in setting initial conditions for heavy-ion collisions.
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