Skip to main content
SpringerLink
Log in

Peculiarities of applying the ω k n criterion for the electron identification problem based on the transition radiation detector in the compressed baryonic matter experiment

  • Methods of Physical Experiment
  • Published:
Physics of Particles and Nuclei Letters Aims and scope Submit manuscript

Abstract

The problem of electron identification under conditions of a dominating pion background with the help of a multilayered transition radiation detector (TRD) in the Compressed Baryonic Matter (CBM) experiment is considered. With this aim, various mathematical methods, including methods based on the nonparametric goodness-of-fit ω k n criterion, have been elaborated and investigated. The characteristic properties of distributions of energy losses by electrons and pions in the TRD radiators are considered, and specific features of applying traditional statistical methods, methods based on the ω k n criterion, and artificial neural networks to the analyzed problem are discussed. The results of a comparative analysis of the power of these methods are presented, and recommendations for their usage are given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Letter of Intent for the Compressed Baryonic Matter Experiment. http://www.gsi.de/documents/DOC-2004-Jan-116-2.pdf

  2. Compressed Baryonic Matter Experiment. Technical Status Report (GSI, Darmstadt, 2005). http://www.gsi.de/onTEAM/dokumente/public/DOC-2005-Feb-447 e.html

  3. T. Matsui and H. J. Satz, “Suppression by Quark-Gluon Plasma Formation,” Phys. Lett. B 178, 416 (1986).

    Article  ADS  Google Scholar 

  4. R. Rapp, “Duality and Chiral Restoration from Low Mass Dileptons at the CERN SPS,” Nucl. Phys. A 661, 33–44 (1999).

    Article  ADS  Google Scholar 

  5. V. V. Ivanov and P. V. Zrelov, “Nonparametric Integral Statistics ω k n Main Properties and Applications,” Comp. Math. Appl. 34, 703–726 (1997).

    Article  MathSciNet  MATH  Google Scholar 

  6. E. P. Akishina et al., “Distributions of Energy Losses for Electrons and Pions in the CBM TRD,” JINR Commun. E10-2007-158 (Dubna, 2007).

  7. “GEANT — Detector Description and Simulation Tool,” CERN Program Library, Long Write-up, W5013 (1995).

  8. www.gsi.de/fair/experiments/CBM

  9. D. Bertini et al., “The FAIR Simulation and Analysis Framework,” in Proceedings of the International Conference on Computing in High Energy and Nuclear Physics CHEP’07, Victoria, BC, Canada, 2007, J. Phys.: Conf. Ser. (in press).

  10. M. Castellano et al., “A Monte Carlo Program to Design a Multiple Module Transition Radiation Detector,” Comput. Phys. Commun. 61, 395–409 (1990).

    Article  ADS  Google Scholar 

  11. T. P. Akishina, O. Yu. Denisova, and V. V. Ivanov, “Study of the Optimal Structure of the TRD Radiator,” CBM Progress Report 2010 (Darmstadt, 2010), p. 40.

  12. W. T. Eadie et al., Statistical Methods in Experimental Physics (North-Holland, Amsterdam, London, 1971).

    MATH  Google Scholar 

  13. E. P. Akishina et al., “Distributions of Energy Losses for Electrons and Pions in the CBM TRD,” JINR Commun. E10-2007-158 (Dubna, 2007).

  14. F. James and M. Roos, “MINUIT — Function Minimization and Error Analysis,” CERN Program Library, D506 (1988).

  15. “PAW — Physics Analysis Workstation,” CERN Program Library Entry Q121, Version 1.07 (1989).

  16. P. V. Zrelov and V. V. Ivanov, “The Relativistic Charged Particles Identification Method Based on the Goodness-Of-Fit -Criterion,” Nucl. Instrum. Methods Phys. Res., Sect. A 310, 623–630 (1991).

    Article  ADS  Google Scholar 

  17. E. P. Akishina et al., “Electron/Pion Identification in the CBM TRD Applying a Goodness-of-Fit Criterion,” Part. Nucl. Lett. 5, 202–218 (2008).

    Google Scholar 

  18. E. P. Akishina et al., “Comparative Analysis of Statistical Criteria for e/π Identification Using TRD in the CBM Experiment,” in Proceedings of the 21st International Symposium on Nuclear Electronics and Computing NEC’2007, Varna, Bulgaria, 2007 (Dubna, 2007), pp. 30–39.

  19. H. Cramer, Mathematical Methods of Statistics (Univ. of Stockholm Press, 1946).

  20. G. V. Martynov, Omega-Square Criteria (Nauka, Moscow, 1978) [in Russian].

    Google Scholar 

  21. V. V. Ivanov and P. V. Zrelov, “Nonparametric Integral Statistics \(\omega _n^k = n^{k/2} \int_{ - \infty }^\infty {\left[ {S_n \left( x \right) - F\left( x \right)} \right]^k dF\left( x \right)}\): Main Properties and Applications,” Int. J. Comp. Math. Appl. 34, 703–726 (1997); P. V. Zrelov and V. V. Ivanov, “Nonparametric Integral Statistics \(\omega _n^k = n^{k/2} \int_{ - \infty }^\infty {\left[ {S_n \left( x \right) - P\left( x \right)} \right]^k dP\left( x \right)}\) and their Main Properties. Algebraic Form, Distribution Functions and Goodness of Fit Criteria,” Soobshch. OIYaI P10-92-461 (Dubna, 1992).

    Article  MathSciNet  MATH  Google Scholar 

  22. P. V. Zrelov and V. V. Ivanov, “The Small Probability Events Separation Method Based on the Smirnov-Gramer-Mises Goodness-of-Fit Criterion: Algorithms and Programs for Solution of Some Problems in Physics,” V. 6, Preprint KFKI-1989-62/M (Budapest, 1989), pp. 127–142.

  23. P. V. Zrelov, et al., “Simulation of Experiment on Investigation of the Processes of Subthreshold K+ Birth,” Preprint OIYaI P10-92-369 (Dubna, 1992); Matem. Model. 4(11), 56–74 (1993).

    Google Scholar 

  24. K. S. Koelberg, CERN Computer Centre Program Library, G110.

  25. E. P. Akishina, et al., “Comparative Analysis of Statistical Criteria for e/π Identification Applying the CBM TRD,” in Proceedings of the 21st International Symposium on Nuclear Electronics and Computing NEC’2007, Varna, Bulgaria, 2007, JINR Commun. E10,11-2008-37 (Dubna, 2008), pp. 30–39.

  26. E. P. Akishina et al., “Electron/Pion Identification in the CBM TRD Using a Multilayer Perceptron,” JINR Commun. E10-2007-17 (Dubna, 2007).

  27. T. P. Akishina, O. Yu. Denisova, and V. V. Ivanov, “Electron/Pion Identification Using a Multilayer Perceptron in Transitional Radiation Detector in CBM Experiment,” Soobshch. OIYaI R10-2009-61 (Dubna, 2009).

  28. S. F. Fogelman, “Neural Networks for Patterns Recognition: Introduction and Comparison to Other Techniques,” in Proceedings of the 2nd International Workshop on Software Engineering, Artifical Intelligence and Expert System in High Energy Physics (L’Agelaude France-Telecom la Londe-les-Maures, France, 1992); in New Computing Techniques in Physics Research II, Ed. by D. Perret-Gallix (World Scientific, Singapore, 1992), p. 277.

    Google Scholar 

  29. B. Denby, “Tutorial on Neural Networks Applications in High Energy Physics: 1982 Perspective,” in New Computing Techniques in Physics Research II, Ed. by D. Perret-Gallix (World Scientific, Singapore, 1992), p. 287.

    Google Scholar 

  30. C. Peterson, Th. Rögnvaldsson, and L. Lönnblad, “JETNET 3.0 — A Versatile Artificial Neural Network Package,” Comput. Phys. Commun. 81, 185 (1994).

    Article  ADS  Google Scholar 

  31. http://root.cern.ch/root/html/TMultiLayerPerceptron.html

  32. N. A. Ignat’ev, “Selection of the Minimum Configuration of the Neural Networks,” Comp. Technol. 6, 23–28 (2001).

    MathSciNet  MATH  Google Scholar 

  33. D. E. Rumelhart, G. E. Hinton, and R. J. Williams, “Learning Internal Representations by Error Propagation,” in Parallel Distributed Processing: Explorations in the Microstructure of Cognition, Ed. by D. E. Rumelhart and J. L. McClelland, Vol. 1: Foundations (MIT Press, Cambridge, MA, 1986).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, 141980, Russia

    T. P. Akishina

Authors
  1. T. P. Akishina
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © T.P. Akishina, 2012, published in Pis’ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra, 2012, No. 3(173), pp. 440–462.

The article was translated by the author.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Akishina, T.P. Peculiarities of applying the ω k n criterion for the electron identification problem based on the transition radiation detector in the compressed baryonic matter experiment. Phys. Part. Nuclei Lett. 9, 268–282 (2012). https://doi.org/10.1134/S1547477112030028

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1547477112030028

Keywords

Search

Navigation