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Measurements of the Angular Distribution of Elastically and Inelastically Scattered Products

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Understanding Nuclear Physics

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Abstract

This chapter summarizes the experimental setup (such as targets and detectors), measuring, and data reduction procedures towards obtaining the angular distribution of accelerated ions elastically or inelastically scattered from targets. Different normalization methods for obtaining the absolute elastic scattering cross section and its ratio to Rutherford are discussed.

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Notes

  1. 1.

    The energy width of a peak do not depends solely on the detector resolution, but also on the target thickness, the kinematic widening due to the angular acceptances of the detector among other factors, as it will be discussed in Sect. 2.3.

  2. 2.

    Estimated following [10].

  3. 3.

    Switching the shortcut to the other side, the position is measured from the other end.

  4. 4.

    Here, we assume an energy of 40 MeV, which is close to the Coulomb barrier between \(^{16}\)O and a medium-mass target such as \(^{58}\)Ni.

  5. 5.

    These recoil nuclei have their corresponding ejectiles on the other side of the beam and, hence, are uncorrelated to ejectiles recorded in the same detector.

  6. 6.

    See [14], Chap. 4, Sect. VII for a more precise treatment.

  7. 7.

    A Faraday cup upstream from the target can register the beam intensity only before and after each run. The average of those values, multiplied by the run duration and divided by the charge state q tuned by the accelerator, could be used just as a consistency check for the number of incoming projectiles \(N_{inc}\).

  8. 8.

    The Fresnel peak, which occurs for energies well above the barrier, lies somehow out of this curve.

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Authors and Affiliations

  1. Laboratorio TANDAR, Comisión Nacional de Energía Atómica, BKNA1650 San Martín, Argentina and Consejo Nacional de Investigaciones Científicas y Técnicas, C1425FQB, Buenos Aires, Argentina

    Andrés Arazi

  2. Laboratorio TANDAR, Comisión Nacional de Energía Atómica, BKNA1650, San Martín, Argentina

    Daniel Abriola

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  1. Andrés Arazi
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  1. School of Sciences, P P SAVANI University, Kosamba, Surat, India

    Nikit Deshmukh

  2. University of Barcelona, Barcelona, Spain

    Nirav Joshi

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Arazi, A., Abriola, D. (2023). Measurements of the Angular Distribution of Elastically and Inelastically Scattered Products. In: Deshmukh, N., Joshi, N. (eds) Understanding Nuclear Physics. Springer, Singapore. https://doi.org/10.1007/978-981-19-8437-2_5

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