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Multi-step Direct Reaction Models Including Collectivity in Nucleon Induced Reactions

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Compound-Nuclear Reactions

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 254))

Abstract

Pre-equilibrium nuclear reactions occur on an intermediate time scale when compared to fast direct reactions and to the slow process of compound nucleus evaporation. They dominate the reaction spectra in a large range of energy, especially for fast incident projectiles. The quantum models developed so far describe the process as multiple collisions of an incident leading particle with the target nucleus. The low-energy excited states of the target can have several components forming a collective state. We present here, preliminary results on the description of such a state in the Random Phase Approximation that considers long and short range residual interactions beyond mean field. We have investigated the contributions of different particle–hole modes to the low-lying excited states of the target nucleus. In addition, a simplified model for the particle–hole basis is studied.

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References

  1. Griffin, J. J., Statistical model of intermediate structure. Phys. Rev. Lett. 17, 478 (1996)

    Article  ADS  Google Scholar 

  2. C. K. Cline, M. Blann, The pre-equilibrium statistical model: description of the nuclear equilibration process and parameterization of the model. Nucl. Phys. A. 172, 225–259 (1971)

    Article  ADS  Google Scholar 

  3. M. Blann, New precompound decay model. Phys. Rev. C. 54, 1341–1349 (1996)

    Article  ADS  Google Scholar 

  4. M. Blann, M. Chadwick, New precompound decay model: angular distributions. Phys. Rev. C. 57, 233–243 (1998)

    Article  ADS  Google Scholar 

  5. C.A. Soares Pompeia, B.V. Carlson, Configuration mixing in pre-equilibrium reactions. Phys. Rev. C. 74, 054609 (2006)

    Article  ADS  Google Scholar 

  6. B.V. Carlson, J.E. Escher, M.S. Hussein, Theoretical descriptions of compound-nuclear reactions: open problems and challenges. J. Phys. G Nucl. Part. Phys. 41, 094003 (2014)

    Article  ADS  Google Scholar 

  7. D. Agassi, H.A. Weidenmüller, G. Mantzouranis, The statistical theory of nuclear reactions for strongly overlapping resonances as a theory of transport phenomena. Phys. Rep. 22, 145–179 (1975)

    Article  ADS  Google Scholar 

  8. T. Tamura, T. Udagawa, H. Lenske, Multistep direct reaction analysis of continuum spectra in reactions induced by light ions. Phys. Rev. C. 26, 379–404 (1982)

    Article  ADS  Google Scholar 

  9. H. Feshbach, A. Kerman, S. Koonin, The statistical theory of multi-step compound and direct reactions. Ann. Phys. 125, 429–476 (1980)

    Article  ADS  Google Scholar 

  10. H. Nishioka, J.J.M. Verbaarschot, H.A. Weidenmüller, S. Yoshida, Statistical theory of precompound reactions: the multistep compound process. Ann. Phys. 172, 67–99 (1986)

    Article  ADS  Google Scholar 

  11. H. Nishioka, H.A. Weidenmüller, S. Yoshida, Statistical theory of precompound reactions: The multistep direct process. Ann. Phys. 183, 166–187 (1988)

    Article  ADS  Google Scholar 

  12. A.J. Koning, J.M. Akkermans, Randomness in multi-step direct reactions. Ann. Phys. 208, 216–250 (1991)

    Article  ADS  Google Scholar 

  13. R. Bonetti, A.J. Koning, J. Akkermans, P. Hodgson, The Feshbach-Kerman-Koonin multistep direct reaction theory. Phys. Rep. 247, 1–58 (1994)

    Article  ADS  Google Scholar 

  14. A.J. Koning, M.B. Chadwick, Microscopic two-component multistep direct theory for continuum nuclear reactions. Phys. Rev. C. 56, 970–994 (1997)

    Article  ADS  Google Scholar 

  15. E.V. Chimanski, B.V. Carlson, R. Capote, A.J. Koning, Quasiparticle nature of excited states in random-phase approximation. Phys. Rev. C. 99, 014305 (2019)

    Article  ADS  Google Scholar 

  16. C. Gianluca et. al. Self-consistent RPA calculations with Skyrme-type interactions: the skyrmerpa program. Comput. Phys. Commun. 184, 142–161 (2013)

    Article  MathSciNet  Google Scholar 

  17. E. Chabanat, P. Bonche, P. Haensel, J. Meyer, R. Schaeffer, A Skyrme parametrization from subnuclear to neutron star densities Part II. Nuclei far from stabilities. Nucl. Phys. A. 635, 231–256 (1998)

    Google Scholar 

  18. D.J. Rowe, Nuclear Collective Motion: Models and Theory (World Scientific, New York, 2010)

    Book  Google Scholar 

  19. J. Suhonen, From Nucleons to Nuclei: Concepts of Microscopic Nuclear Theory (Springer, Berlin, 2007)

    Book  Google Scholar 

  20. J. Blomqvist, A. Molinari, Collective 0- vibrations in even spherical nuclei with tensor forces. Nucl. Phys. A. 106, 545–569 (1968)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

EVC acknowledges financial support from grants 2016/07398-8 and 2017/13693-5 of the São Paulo Research Foundation (FAPESP). BVC acknowledges financial support from grant 2017/05660-0 of the São Paulo Research Foundation (FAPESP) and grant 306433/2017-6 of the CNPq. EVC and BVC acknowledge support from the INCT-FNA project 464898/2014-5.

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Correspondence to E. V. Chimanski .

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Chimanski, E.V., Capote, R., Carlson, B.V., Koning, A.J. (2021). Multi-step Direct Reaction Models Including Collectivity in Nucleon Induced Reactions. In: Escher, J., et al. Compound-Nuclear Reactions . Springer Proceedings in Physics, vol 254. Springer, Cham. https://doi.org/10.1007/978-3-030-58082-7_8

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