• Convergent polynomial expansion, energy dependence of slope parameters, scaling hypothesis and predictions forπ±p andK+p scattering

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      https://www.ias.ac.in/article/fulltext/pram/016/04/0333-0357

    • Keywords

       

      Analyticity; slope parameter; scaling; asymptotic equality; unitarity bound; energy dependence; predictions; polynomial expansion

    • Abstract

       

      A phenomenological representation for differential cross-section recently proposed using Mandelstam analyticity and convergent polynomial expansion (CPE) which has been found to be successful in describing scaling of the differential cross-section-ratio data for several elastic diffractive and inelastic nondiffractive processes is used to analyse the energy dependence of the slope-parameter data at high energies, extrapolate the slope parameter and predict the differential cross-section ratio as a function of |t| at higher energies forπ±pndK+p scattering. Following the method of Hansen and Krisch it is found that, in spite of the existence of rather widely varying data points for nearbys values, a more systematic trend in the energy dependence of the slope parameter emerges when a statistical average of the existing high-energy data is used. Extrapolating the fits to the average data ontos → ∞ provides strong evidence in favour of a model-independent result that asymptotically theπ±p slopes may be equal. There is also a strong indication to the effect that each of these two slopes may be equal to theK+p slope fors → ∞. Using the scaling curves generated by the existing data on differential cross-section ratio and extrapolated values of the slope parameter, the differential cross-section ratio for each of the three processes is predicted as a function of |t| for higher energies.

    • Author Affiliations

       

      N Giri1 2 M K Parida1

      1. Post-Graduate Department of Physics, Sambalpur University, Jyoti Vihar, Burla - 768 017, India
      2. Department of Physics, Gangadhar Meher College, Sambalpur - 768 002, India
    • Dates

       
  • Pramana – Journal of Physics | News

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