Saturation momentum scale extracted from semi-inclusive transverse spectra in high-energy pp collisions

Takeshi Osada (Department of Physics, Faculty of Liberal Arts and Sciences, and Tokyo City University, Tamazutsumi 1-28-1, Setagaya-ku, Tokyo 158-8557, Japan) ; Takuya Kumaoka (Department of Physics, Shinshu University, Matsumoto 390-8621, Japan)

Geometric scaling is well confirmed for transverse-momentum distributions observed in proton-proton collisions at Large Hadron Collider (LHC) energies. We introduced multiplicity dependence on a saturation momentum of the geometrical scaling, assuming the scaling holds for semi-inclusive distributions as well as for inclusive distributions. The saturation momentum is usually given by Bjorken's x variable, but redefinition of the scaling variable can make the saturation momentum a function of collision energy W. We treat the energy as a free parameter (denoted W* to distinguish it from W) and associate the energy-dependent saturation momentum Qsat(W*) with particle number density. By using Qsat(W*) for a scaling variable τ, we show semi-inclusive distributions can be geometrically scaled, i.e., all semi-inclusive spectra observed at W=0.90, 2.76, and 7.00 TeV overlap one universal function. The particle density dependencies of mean transverse momentum pT for LHC energies scales in terms of Qsat(W*). Furthermore, our model explains a scaling property of event-by-event pT fluctuation measure Cm/pT at LHC energies for pp collisions, where Cm is a two-particle transverse-momentum correlator. Our analysis of the pT fluctuation makes possible to evaluate a nonperturbative coefficient of the gluon correlation function.

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      "title": "Saturation momentum scale extracted from semi-inclusive transverse spectra in high-energy <math><mrow><mi>p</mi><mi>p</mi></mrow></math> collisions"
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  "abstracts": [
    {
      "source": "APS", 
      "value": "Geometric scaling is well confirmed for transverse-momentum distributions observed in proton-proton collisions at Large Hadron Collider (LHC) energies. We introduced multiplicity dependence on a saturation momentum of the geometrical scaling, assuming the scaling holds for semi-inclusive distributions as well as for inclusive distributions. The saturation momentum is usually given by Bjorken's <math><mi>x</mi></math> variable, but redefinition of the scaling variable can make the saturation momentum a function of collision energy <math><mi>W</mi></math>. We treat the energy as a free parameter (denoted <math><msup><mi>W</mi><mo>*</mo></msup></math> to distinguish it from <math><mi>W</mi></math>) and associate the energy-dependent saturation momentum <math><mrow><msub><mi>Q</mi><mi>sat</mi></msub><mrow><mo>(</mo><msup><mi>W</mi><mo>*</mo></msup><mo>)</mo></mrow></mrow></math> with particle number density. By using <math><mrow><msub><mi>Q</mi><mi>sat</mi></msub><mrow><mo>(</mo><msup><mi>W</mi><mo>*</mo></msup><mo>)</mo></mrow></mrow></math> for a scaling variable <math><mi>\u03c4</mi></math>, we show semi-inclusive distributions can be geometrically scaled, i.e., all semi-inclusive spectra observed at <math><mrow><mi>W</mi><mo>=</mo><mn>0.90</mn></mrow></math>, 2.76, and 7.00 TeV overlap one universal function. The particle density dependencies of mean transverse momentum <math><mrow><mo>\u2329</mo><msub><mi>p</mi><mi>T</mi></msub><mo>\u232a</mo></mrow></math> for LHC energies scales in terms of <math><mrow><msub><mi>Q</mi><mi>sat</mi></msub><mrow><mo>(</mo><msup><mi>W</mi><mo>*</mo></msup><mo>)</mo></mrow></mrow></math>. Furthermore, our model explains a scaling property of event-by-event <math><msub><mi>p</mi><mi>T</mi></msub></math> fluctuation measure <math><mrow><msqrt><msub><mi>C</mi><mi>m</mi></msub></msqrt><mo>/</mo><mrow><mo>\u2329</mo><msub><mi>p</mi><mi>T</mi></msub><mo>\u232a</mo></mrow></mrow></math> at LHC energies for <math><mrow><mi>p</mi><mi>p</mi></mrow></math> collisions, where <math><msub><mi>C</mi><mi>m</mi></msub></math> is a two-particle transverse-momentum correlator. Our analysis of the <math><msub><mi>p</mi><mi>T</mi></msub></math> fluctuation makes possible to evaluate a nonperturbative coefficient of the gluon correlation function."
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Published on:
26 September 2019
Publisher:
APS
Published in:
Physical Review C , Volume 100 (2019)
Issue 3
DOI:
https://doi.org/10.1103/PhysRevC.100.034906
arXiv:
1904.10823
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: