DaMoScope and its internet graphics for the visual control of adjusting mathematical models describing experimental data
- PDF / 838,708 Bytes
- 5 Pages / 612 x 792 pts (letter) Page_size
- 58 Downloads / 180 Views
ORS AND METHODS OF INVESTIGATION
DaMoScope and Its Internet Graphics for the Visual Control of Adjusting Mathematical Models Describing Experimental Data V. I. Belousov, V. V. Ezhela, Yu. V. Kuyanov*, and N. P. Tkachenko National Research Center Kurchatov Institute, COMPAS Group, Institute for High Energy Physics, pl. Nauki 1, Protvino, Moscow region, 142281 Russia *email: [email protected] Received February 7, 2015
Abstract—The experience of using the dynamic atlas of the experimental data and mathematical models of their description in the problems of adjusting parametric models of observable values depending on kinematic variables is presented. The functional possibilities of an image of a large number of experimental data and the models describing them are shown by examples of data and models of observable values determined by the amplitudes of elastic scattering of hadrons. The Internet implementation of an interactive tool DaMoScope and its interface with the experimental data and codes of adjusted parametric models with the parameters of the best description of data are schematically shown. The DaMoScope codes are freely available. Keywords: DaMoScope, cross section, hadron, java. DOI: 10.1134/S1063778815130025
1. EXPERIMENTAL DATA
ab
The COMPAS1 Group for more than thirty years has been gathering the published experimental data on cross sections of colliding highenergy particles, sys tematizing them, and evaluating them. As new data are published, COMPAS together with PDG2 updates the experimental database and the PDG site. In every even year, PDG publishes a big issue on particle physics RPP—Review of Particle Physics [1]. In the web variant of the issue, there are references to the experimental data on cross sections accessible as simple text files in ASCII code, which can be easily downloaded and applied to the input of a processing program (http://pdg.lbl.gov/2014/hadronicxsections/ hadron.html).
R i in mb are the contributions from effective sec ondary Regge poles [5]. ab
s, s M = (ma + mb + M)2 in GeV2; ma and mb ( m γ* = m ρ ( 770 ) ) are the particle rest masses, and M is the mass parameter determining the rate and the onset of the universal growth of total cross sections for hadron col lision, all in GeV. The parameters M, η1, and η2 are common for all collisions under consideration.
σ
−b a+
1.1. Total Cross Sections σtot(s) of Collisions and Parameter ρ(s) In the formulas below, we designated the adjusted parameters in abbreviated form as follows:
ρ
2
បc ) in mb determines the rate of the H M = π ( 2 M quadratically logarithmic increase in total hadron cross sections predicted by Heisenberg [2, 3]. P ab in mb are the Pomeranchuk constants [4]. 1 COMPAS—Compilation, Analysis, and Systematization. 2 Particle Data Group.
−b a+
⎧ 2⎛ s ⎞ ab +P ⎪ H M log ⎝ ab⎠ sM ⎪ = ⎨ ab η 1 ab η 2 ⎪ ab ⎛ s M ⎞ ab ⎛ s M ⎞ ⎪ + R 1 ⎝ ⎠ + R 2 ⎝ ⎠ , s s ⎩
⎧ 2⎛ ⎛ s ⎞ ⎞ ⎪ πH M log ⎝ ⎝ ab sM ⎠ ⎠ ⎪ ⎪ ab η 1 ⎪ ab 1 1⎞ ⎛ s M ⎞ ⎛ πη = ⎨ – R tan −
Data Loading...
