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Analytic Continuation of Scattering Data, Asymptotic Normalization Coefficients, and Astrophysics

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Abstract

The formalism of asymptotic normalization coefficients and methods for determining them from experimental nuclear data are discussed. A new method is proposed that uses the continuation of the modulus squared of a partial-wave amplitude. It is shown that the recently proposed \(\Delta\) method for the continuation of elastic scattering data is not strictly correct. It is argued that, unlike asymptotic normalization coefficients, the values of spectroscopic factors cannot be unambiguously determined from experimental data on nuclear reactions. The Trojan horse method is discussed, which allows one to determine cross sections of binary astrophysical nuclear reactions from the data of reactions with three particles in the final state.

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REFERENCES

  1. L. D. Blokhintsev, Yad. Fiz. 34, 865 (1981).

    Google Scholar 

  2. L. D. Blokhintsev, A. M. Mukhamedzhanov, and R. Yarmukhamedov, Eur. Phys. J. A 49, 108 (2013).

    Article  ADS  Google Scholar 

  3. L. D. Blokhintsev, I. Borbely, and E. I. Dolinsky, Sov. J. Part. Nucl. 8, 485 (1977).

    Google Scholar 

  4. A. M. Mukhamedzhanov and N. K. Timofeyuk, JETP Lett. 51, 282 (1990).

    ADS  Google Scholar 

  5. A. M. Mukhamedzhanov and N. K. Timofeyuk, Sov. J. Nucl. Phys. 51, 431 (1990).

    Google Scholar 

  6. A. M. Mukhamedzhanov, Phys. Rev. C 99, 024311 (2019).

    Article  ADS  Google Scholar 

  7. M. Viviani, A. Kievsky, and S. Rosati, Phys. Rev. C 71, 024006 (2005).

    Article  ADS  Google Scholar 

  8. K. M. Nollett and R. B. Wiringa, Phys. Rev. C 83, 041001 (2011).

    Article  ADS  Google Scholar 

  9. M. Vorabbi, P. Navratil, S. Quaglioni, and G. Hupin, Phys. Rev. C 100, 024304 (2019).

    Article  ADS  Google Scholar 

  10. D. M. Rodkin and Yu. M. Tchuvil’sky, JETP Lett. 109, 425 (2019).

    Article  ADS  Google Scholar 

  11. A. Kharbakh and P. Descouvemont, Phys. Rev. C 58, 1066 (1998).

    Article  ADS  Google Scholar 

  12. L. D. Blokhintsev et al., Yad. Fiz. 69, 456 (2006) [Phys. At. Nucl. 69, 433 (2006)].

    Google Scholar 

  13. L. D. Blokhintsev, R. Yarmukhamedov, S. V. Artemov, et al., Uzbek J. Phys. 12, 217 (2010).

    Google Scholar 

  14. N. K. Timofeyuk, Nucl. Phys. A 632, 19 (1998).

    Article  ADS  Google Scholar 

  15. S. B. Dubovichenko and Yu. N. Uzikov, Phys. Part. Nucl. 42, 251 (2011).

    Article  Google Scholar 

  16. A. M. Mukhamedzhanov and R. E. Tribble, Phys. Rev. C 59, 3418 (1999).

    Article  ADS  Google Scholar 

  17. S. Dubnic̆ka, O. V. Dumbrais, and F. Nichitiu, Nucl. Phys. A 217, 535 (1973).

  18. I. Borbely, Phys. Lett. B 49, 325 (1974).

    Article  ADS  Google Scholar 

  19. R. G. Newton, Scattering Theory of Waves and Particles (Springer-Verlag, New York, 1982).

    Book  Google Scholar 

  20. K. Shadan and P. C. Sabatier, Inverse Problems of Quantum Scattering Theory. (Springer-Verlag, New York, 1982).

    Google Scholar 

  21. E. Witten, Nucl. Phys. B 188, 513 (1981).

    Article  ADS  Google Scholar 

  22. L. D. Blokhintsev and V. O. Yeremenko, Phys. At. Nucl. 71, 1219 (2008).

    Article  Google Scholar 

  23. L. D. Blokhintsev, V. I. Kukulin, A. A. Sakharuk, D. A. Savin, and E. V. Kuznetsova, Phys. Rev. C 48, 2390 (1993).

    Article  ADS  Google Scholar 

  24. N. Oulebsir et al., Phys. Rev. C 85, 035804 (2012).

    Article  ADS  Google Scholar 

  25. A. M. Mukhamedzhanov and A. S. Kadyrov, Phys. Rev. C 82, 051601 (2010).

    Article  ADS  Google Scholar 

  26. J.-M. Sparenberg, P. Capel, and D. Baye, Phys. Rev. C 81, 011601 (2010).

    Article  ADS  Google Scholar 

  27. B. F. Irgaziev and Yu. V. Orlov, Phys. Rev. C 91, 024002 (2015).

    Article  ADS  Google Scholar 

  28. L. D. Blokhintsev, A. S. Kadyrov, A. M. Mukhamedzhanov, and D. A. Savin, Phys. Rev. C 98, 064610 (2018).

    Article  ADS  Google Scholar 

  29. L. D. Blokhintsev, A. S. Kadyrov, A. M. Mukhamedzhanov, and D. A. Savin, Phys. Rev. C 100, 024627 (2019).

    Article  ADS  Google Scholar 

  30. J. Hamilton, I. Øverbö, and B. Tromborg, Nucl. Phys. B 60, 443 (1973).

    Article  ADS  Google Scholar 

  31. O. L. Ramírez Suárez and J.-M. Sparenberg, Phys. Rev. C 96, 034601 (2017).

  32. L. D. Blokhintsev, A. S. Kadyrov, A. M. Mukhamedzhanov, and D. A. Savin, Phys. Rev. C 97, 024602 (2018).

    Article  ADS  Google Scholar 

  33. D. Gaspard and J.-M. Sparenberg, Phys. Rev. C 97, 044003 (2018).

    Article  ADS  Google Scholar 

  34. Yu. V. Orlov, B. F. Irgaziev, and Jameel-Un Nabi, Phys. Rev. C 96, 025809 (2017).

    Article  ADS  Google Scholar 

  35. B. F. Irgaziev and Yu. V. Orlov, Phys. Rev. C 98, 015803 (2018).

    Article  ADS  Google Scholar 

  36. Yu. V. Orlov, arXiv: 1901.03282v1 [nucl-th].

  37. G. Baur, Phys. Lett. B 178, 135 (1986).

    Article  ADS  Google Scholar 

  38. A. M. Mukhamedzhanov, Phys. Rev. C 99, 064618 (2019).

    Article  ADS  Google Scholar 

  39. R. E. Tribble et al., Rep. Progr. Phys. 77, 1 (2014).

    Article  MathSciNet  Google Scholar 

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ACKNOWLEDGMENTS

This work was supported by the Russian Foundation for Basic Research grant no. 19-02-00014.

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Authors and Affiliations

  1. Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow, Russia

    L. D. Blokhintsev & D. A. Savin

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  1. L. D. Blokhintsev
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  2. D. A. Savin
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Correspondence to L. D. Blokhintsev.

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Blokhintsev, L.D., Savin, D.A. Analytic Continuation of Scattering Data, Asymptotic Normalization Coefficients, and Astrophysics. Phys. Atom. Nuclei 83, 573–580 (2020). https://doi.org/10.1134/S1063778820040067

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  • DOI: https://doi.org/10.1134/S1063778820040067

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