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q-Gaussian and q-BWF Functions Applied to the Decomposition of Pulsar Profiles: Preliminary Results

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  • Amelia Carolina Sparavigna

Abstract

The EPN Database of Pulsar Profiles contains data provided by several generous researchers. The data of pulsar profiles are proposed in three different formats. One is the plain text format which allows an easy use of data to test fitting procedures. Literature reports pulsar profile fits made by means of Gaussian line shapes. Here we propose the use of the q-Gaussian functions, which are generalizing the Gaussian functions. Since the observed profiles are also asymmetric, we propose the use for fitting of the q-BWF functions too. These functions are generalizing the Breit-Wigner-Fano line shapes, with the Breit-Wigner factor substituted by the q-exponential function. The q-exponential was proposed by Constantino Tsallis in 1988 for his generalization of Boltzmann-Gibbs statistics. Preliminary fitting examples are here shown, of some profiles from the EPN Database.

Suggested Citation

  • Amelia Carolina Sparavigna, 2024. "q-Gaussian and q-BWF Functions Applied to the Decomposition of Pulsar Profiles: Preliminary Results," International Journal of Sciences, Office ijSciences, vol. 13(06), pages 1-9, June.
    • Handle: RePEc:adm:journl:v:13:y:2024:i:6:p:1-9
    DOI: 10.18483/ijSci.2768
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    References listed on IDEAS

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    1. Amelia Carolina Sparavigna, 2023. "q-Gaussian Tsallis Line Shapes and Raman Spectral Bands," International Journal of Sciences, Office ijSciences, vol. 12(03), pages 27-40, March.
    2. Amelia Carolina Sparavigna, 2023. "SERS Spectral Bands of L-Cysteine, Cysteamine and Homocysteine Fitted by Tsallis q-Gaussian Functions," International Journal of Sciences, Office ijSciences, vol. 12(09), pages 14-24, September.
    3. Amelia Carolina Sparavigna, 2024. "The Fitted q-Gaussian Function, from Voigt Profile to Kubo Lineshape," International Journal of Sciences, Office ijSciences, vol. 13(03), pages 1-16, March.
    4. R. Hanel & S. Thurner & C. Tsallis, 2009. "Limit distributions of scale-invariant probabilistic models of correlated random variables with the q-Gaussian as an explicit example," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 72(2), pages 263-268, November.
    5. Devi, Sandhya, 2021. "Asymmetric Tsallis distributions for modeling financial market dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    6. Sandhya Devi, 2021. "Asymmetric Tsallis distributions for modelling financial market dynamics," Papers 2102.04532, arXiv.org.
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    1. Amelia Carolina Sparavigna, 2024. "Gaussian and q-Gaussian Functions for the Decomposition of J1022+1001 Pulsar Profiles," International Journal of Sciences, Office ijSciences, vol. 13(06), pages 18-27, June.

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