Enskog-Boltzmann-Equation for a Fluid of Nonspherical Particles

Abstract The Enskog-Boltzmann-equation is generalized to fluids of nonsperical particles with fixed orientation, i.e. for overdamped rotational motion. General relations between the interparticle position vector at the instant of contact, the impact parameter and the differential cross section are derived. The dependence of these quantities of the orientations of the colliding particles is studied for the special case of hard ellipsoids.

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Scaling behavior of the fully differential cross section for ionization of hydrogen atoms by the impact of fast elementary charged particles

Physical Review A ◽

10.1103/physreva.65.052727 ◽

2002 ◽

Vol 65 (5) ◽

Cited By ~ 41

Author(s):

S. Jones ◽

D. H. Madison

Keyword(s):

Differential Cross Section ◽

Cross Section ◽

Differential Cross ◽

Charged Particles ◽

Scaling Behavior ◽

Hydrogen Atoms ◽

Fully Differential ◽

Fully Differential Cross Section ◽

The Impact

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On the W&Y interpretation of high-energy Drell-Yan measurements

Journal of High Energy Physics ◽

10.1007/jhep02(2021)144 ◽

2021 ◽

Vol 2021 (2) ◽

Author(s):

Riccardo Torre ◽

Lorenzo Ricci ◽

Andrea Wulzer

Keyword(s):

Monte Carlo ◽

Differential Cross Section ◽

Monte Carlo Simulations ◽

Cross Section ◽

Differential Cross ◽

High Energy ◽

New Physics ◽

Leading Order ◽

Theoretical Predictions ◽

The Impact

Abstract High-energy neutral and charged Drell-Yan differential cross-section measurements are powerful probes of quark-lepton contact interactions that produce growing-with-energy effects. This paper provides theoretical predictions of the new physics effects at the Next-to-Leading order in QCD and including one-loop EW corrections at the single-logarithm accuracy. The predictions are obtained from SM Monte Carlo simulations through analytic reweighting. This eliminates the need of performing a scan on the new physics parameter space, enabling the global exploration of all the relevant interactions. Furthermore, our strategy produces consistently showered events to be employed for a direct comparison of the new physics predictions with the data, or to validate the unfolding procedure than underlies the cross-section measurements. Two particularly relevant interactions, associated with the W and Y parameters of EW precision tests, are selected for illustration. Projections are presented for the sensitivity of the LHC and of the HL-LHC measurements. The impact on the sensitivity of several sources of uncertainties is quantified.

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Secondary dips and the asymptotics

Modern Physics Letters A ◽

10.1142/s0217732318500402 ◽

2018 ◽

Vol 33 (06) ◽

pp. 1850040 ◽

Cited By ~ 1

Author(s):

S. M. Troshin ◽

N. E. Tyurin

Keyword(s):

Elastic Scattering ◽

Differential Cross Section ◽

Cross Section ◽

Impact Parameter ◽

Differential Cross ◽

Energy Region ◽

Proton Proton ◽

Asymptotic Energy ◽

The Impact

We point out how to detect experimentally the energy region where asymptotics start to manifest themselves by relating the appearance of the secondary dips in the differential cross-section of elastic scattering [Formula: see text] with the beginning of the asymptotic energy region. The consideration relies on differential characteristics. The impact parameter picture of proton–proton interactions is used.

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Impact Parameter Representation of the Scattering Amplitude

Canadian Journal of Physics ◽

10.1139/p71-228 ◽

1971 ◽

Vol 49 (14) ◽

pp. 1885-1898 ◽

Cited By ~ 9

Author(s):

M. Razavy

Keyword(s):

Elastic Scattering ◽

Phase Shift ◽

Differential Cross Section ◽

Cross Section ◽

Impact Parameter ◽

Differential Cross ◽

Scattering Amplitude ◽

Potential Methods ◽

Energy Dependent ◽

The Impact

From the Lippmann–Schwinger equation, the exact and different approximate relations for the impact parameter form of the total scattering amplitude on- and off-the-energy shell are derived. The relation between the impact parameter phase shift and the range of potential is studied, and several methods of determining the potential from the impact parameter phase shift for local, nonlocal, and energy dependent interactions are obtained in Blankenbecler and Goldberger's approximation. By considering solvable examples it is shown that the Glauber's approximation, in certain cases, may be valid for all scattering angles. Finally for completely elastic scattering or for a purely absorptive potential, methods of finding the impact parameter phase shift from the differential cross section for scattering are given.

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