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Nuclear vertex constants and asymptotic normalization coefficients

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Abstract

The properties of nuclear vertex constants and of asymptotic normalization coefficients are considered along with methods for determining these quantities. Recent assertions in the literature that the properties of bound states cannot be extracted from phase shifts for a single partial wave are shown to be incorrect. A new method for determining vertex constants that employs both data of partial-wave analyses and analytic properties of scattering amplitudes is proposed.

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References

  1. L. D. Blokhintsev, I. Borbei, and É. I. Dolinsky, Fiz. Élem. Chastits At. Yadra 8, 1189 (1977) [Sov. Phys. Part. Nucl. 8, 485 (1977)].

    Google Scholar 

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

    Article  ADS  Google Scholar 

  3. M. Mukhamedzhanov, R. P. Schmitt, R. E. Tribble, and A. Sattarov, Phys. Rev. C 52, 3483 (1995).

    Article  ADS  Google Scholar 

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

    Google Scholar 

  5. I. R. Gulamov, A. M. Mukhamedzhanov, G. K. Ni, Yad. Fiz. 58, 1789 (1995) [Phys. At. Nucl. 58, 1689 (1995)].

    Google Scholar 

  6. J.-M. Sparenberg, Phys. Rev. C 69, 034601 (2004).

    Google Scholar 

  7. V. de Alfaro and T. Regge, Potential Scattering (North-Holland, Amsterdam, 1965; Mir, Moscow, 1966).

    MATH  Google Scholar 

  8. R. G. Newton, Scattering Theory of Waves and Particles (McGraw-Hill, New York, 1966; Mir, Moscow, 1969).

    Google Scholar 

  9. K. Chadan and P. C. Sabatier, Inverse Problems in Quantum Scattering Theory (Springer-Verlag, New York, 1977; Mir, Moscow, 1980).

    MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  11. C. V. Sukumar, J. Phys. A 18, 2937 (1985).

    Article  ADS  MathSciNet  Google Scholar 

  12. D. Baye and J.-M. Sparenberg, Phys. Rev. Lett. 73, 2789 (1994).

    Article  ADS  Google Scholar 

  13. L. D. Blokhintsev, V. I. Kukulin, A. A. Sakharuk, et al., Phys. Rev. C 48, 2390 (1993).

    Article  ADS  Google Scholar 

  14. K. M. Nollett, Phys. Rev. C 63, 054002 (2001).

    Google Scholar 

Download references

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Correspondence to L. D. Blokhintsev.

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Original Russian Text © L.D. Blokhintsev, V.O. Yeremenko, 2008, published in Yadernaya Fizika, 2008, Vol. 71, No. 7, pp. 1247–1253.

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Blokhintsev, L.D., Yeremenko, V.O. Nuclear vertex constants and asymptotic normalization coefficients. Phys. Atom. Nuclei 71, 1219–1225 (2008). https://doi.org/10.1134/S1063778808070144

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  • DOI: https://doi.org/10.1134/S1063778808070144

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