skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Diffractive Electron-Nucleus Scattering and Ancestry in Branching Random Walks

Abstract

We point out an analogy between diffractive electron-nucleus scattering events and realizations of one-dimensional branching random walks selected according to the height of the genealogical tree of the particles near their boundaries. With this being said, this correspondence is made transparent in an event-by-event picture of diffraction, emphasizing the statistical properties of gluon evolution, from which new quantitative predictions straightforwardly follow: we are able to determine the distribution of the total invariant mass produced diffractively, which is an interesting observable that can potentially be measured at a future electron-ion collider.

Authors:
;
Publication Date:
Research Org.:
Columbia Univ., New York, NY (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1466418
Alternate Identifier(s):
OSTI ID: 1498991
Grant/Contract Number:  
[FG02-92ER40699]
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
[Journal Name: Physical Review Letters Journal Volume: 121 Journal Issue: 8]; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Mueller, A. H., and Munier, S. Diffractive Electron-Nucleus Scattering and Ancestry in Branching Random Walks. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.121.082001.
Mueller, A. H., & Munier, S. Diffractive Electron-Nucleus Scattering and Ancestry in Branching Random Walks. United States. doi:10.1103/PhysRevLett.121.082001.
Mueller, A. H., and Munier, S. Thu . "Diffractive Electron-Nucleus Scattering and Ancestry in Branching Random Walks". United States. doi:10.1103/PhysRevLett.121.082001.
@article{osti_1466418,
title = {Diffractive Electron-Nucleus Scattering and Ancestry in Branching Random Walks},
author = {Mueller, A. H. and Munier, S.},
abstractNote = {We point out an analogy between diffractive electron-nucleus scattering events and realizations of one-dimensional branching random walks selected according to the height of the genealogical tree of the particles near their boundaries. With this being said, this correspondence is made transparent in an event-by-event picture of diffraction, emphasizing the statistical properties of gluon evolution, from which new quantitative predictions straightforwardly follow: we are able to determine the distribution of the total invariant mass produced diffractively, which is an interesting observable that can potentially be measured at a future electron-ion collider.},
doi = {10.1103/PhysRevLett.121.082001},
journal = {Physical Review Letters},
number = [8],
volume = [121],
place = {United States},
year = {2018},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevLett.121.082001

Figures / Tables:

Figure 1 Figure 1: Schematic representation of a diffractive event. The initial-state particles are incoming from the left, the final state is on the right. The interaction of the electron with the nucleus is mediated by a virtual photon. While the nucleus is transferred unaltered in its nature to the final state,more » the photon converts to a set of hadrons of total invariant mass MX . The rapidity gap is an angular region around the nucleus inwhich no particle is observed.« less

Save / Share:

Works referenced in this record:

Advances in diffraction of subnuclear waves
journal, July 2010


Extension of the color glass condensate approach to diffractive reactions
journal, March 2006


Diffusive scaling and the high-energy limit of deep inelastic scattering in QCD at large
journal, July 2006


Geometric Scaling as Traveling Waves
journal, December 2003


Eikonal evolution and gluon radiation
journal, October 2001


Impact parameter dipole saturation model
journal, December 2003


Front propagation into unstable states
journal, November 2003


Geometric scaling above the saturation scale
journal, October 2002


Universal behavior of QCD amplitudes at high energy from general tools of statistical physics
journal, January 2005


Operator expansion for high-energy scattering
journal, March 1996


A Langevin equation for high-energy evolution with pomeron loops
journal, July 2005


Unitarization of the BFKL Pomeron on a nucleus
journal, March 2000


The energy dependence of the saturation momentum
journal, September 2002


Diffractive dissociation from nonlinear evolution in DIS on nuclei
journal, December 2002


Saturation effects in deep inelastic scattering at low Q 2 and its implications on diffraction
journal, November 1998


Geometric Scaling for the Total γ * p Cross Section in the Low x Region
journal, January 2001


Soft gluons in the infinite-momentum wave function and the BFKL pomeron
journal, March 1994


On parton number fluctuations at various stages of the rapidity evolution
journal, October 2014


Non-linear evolution and high energy diffractive production
journal, November 2001


Rapidity gap distribution in diffractive deep-inelastic scattering and parton genealogy
journal, August 2018


Impact parameter dependent color glass condensate dipole model
journal, July 2008


The wave of Advance of Advantageous Genes
journal, June 1937


Convergence of solutions of the Kolmogorov equation to travelling waves
journal, January 1983

  • Bramson, Maury
  • Memoirs of the American Mathematical Society, Vol. 44, Issue 285
  • DOI: 10.1090/memo/0285

Exclusive diffractive processes at HERA within the dipole picture
journal, October 2006


Diffractive dissociation and saturation scale from non-linear evolution in high energy DIS
journal, January 2002


Diffractive dissociation including multiple pomeron exchanges in high parton density QCD
journal, June 2000


On the genealogy of branching random walks and of directed polymers
journal, August 2016


    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.