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Suppression of the nuclear rainbow in the inelastic nucleus–nucleus scattering

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Abstract

The nuclear rainbow observed in the elastic \(\alpha \)-nucleus and light heavy-ion scattering is proven to be due to the refraction of the scattering wave by a deep, attractive real optical potential. The nuclear rainbow pattern, established as a broad oscillation of the Airy minima in the elastic cross section, originates from an interference of the refracted far-side scattering amplitudes. It is natural to expect a similar rainbow pattern also in the inelastic scattering of a nucleus–nucleus system that exhibits a pronounced rainbow pattern in the elastic channel. Although some feature of the nuclear rainbow in the inelastic nucleus–nucleus scattering was observed in experiment, the measured inelastic cross sections exhibit much weaker rainbow pattern, where the Airy oscillation is suppressed and smeared out. To investigate this effect, a novel method of the near-far decomposition of the inelastic scattering amplitude is proposed to explicitly reveal the coupled partial-wave contributions to the inelastic cross section. Using the new decomposition method, our coupled channel analysis of the elastic and inelastic \(^{12}\)C + \(^{12}\)C and \(^{16}\)O + \(^{12}\)C scattering at the refractive energies shows unambiguously that the suppression of the nuclear rainbow pattern in the inelastic scattering cross section is caused by a destructive interference of the partial waves of different multipoles. However, the inelastic scattering remains strongly refractive in these cases, where the far-side scattering is dominant at medium and large angles like that observed in the elastic scattering.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical analysis of the published data, and all data information is properly referenced.]

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Acknowledgements

The present research was supported, in part, by the National Foundation for Science and Technology Development (NAFOSTED). The authors also thank Prof. M. Kamimura for his permission to use the RGM nuclear densities in the double-folding calculation.

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Authors and Affiliations

  1. Institute for Nuclear Science and Technology, VINATOM, 179 Hoang Quoc Viet, Cau Giay, Hanoi, 100000, Vietnam

    Nguyen Hoang Phuc, Dao T. Khoa, Nguyen Tri Toan Phuc & Do Cong Cuong

  2. Department of Nuclear Physics, University of Science, VNU-HCM, 227 Nguyen Van Cu, District 5, Ho Chi Minh City, 700000, Vietnam

    Nguyen Tri Toan Phuc

Authors
  1. Nguyen Hoang Phuc
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  2. Dao T. Khoa
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  3. Nguyen Tri Toan Phuc
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Correspondence to Dao T. Khoa.

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Communicated by Nicolas Alamanos

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Phuc, N.H., Khoa, D.T., Phuc, N.T.T. et al. Suppression of the nuclear rainbow in the inelastic nucleus–nucleus scattering. Eur. Phys. J. A 57, 75 (2021). https://doi.org/10.1140/epja/s10050-021-00397-9

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  • DOI: https://doi.org/10.1140/epja/s10050-021-00397-9

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