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nd scattering at low energies in the two-body potential model

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Abstract

The S-wave phase shift δ(E) for the spin-doublet nd scattering at low energy E is calculated in the framework of the two-body approach. The effective-range-theory formula k cot δ = (1+k 2/k 20 )−1(−1/α+C 2 k 2+C 4 k 4) is used to obtain approximate analytical results with different potentials. The corresponding coefficients C 2 and C 4 are obtained from our previous calculations of the asymptotic normalization parameter function C 2t (aκ), where κ is the triton wave number and a is the doublet nd scattering length. The model reasonably describes δ(E), the results being quite sensitive to the choice of the effective nd potential.

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References

  1. A. C. Phillips, Nucl. Phys. A 107, 209 (1968).

    ADS  Google Scholar 

  2. B. A. Girard and M. G. Fuda, Phys. Rev. C 19, 579 (1979); 19, 583 (1979).

    ADS  Google Scholar 

  3. I. V. Simenog, A. I. Sitnichenko, and D. V. Shapoval, Yad. Fiz. 45, 60 (1987) [Sov. J. Nucl. Phys. 45, 37 (1987)].

    Google Scholar 

  4. J. S. Whiting and M. G. Fuda, Phys. Rev. C 14, 18 (1976).

    Article  ADS  Google Scholar 

  5. S. K. Adhikari, Phys. Rev. C 30, 31 (1984).

    ADS  Google Scholar 

  6. A. Kievsky, M. Viviani, and S. Rosati, Phys. Rev. C 52, R15 (1995).

    Article  ADS  Google Scholar 

  7. N. M. Petrov, Yad. Fiz. 48, 50 (1988) [Sov. J. Nucl. Phys. 48, 31(1988)].

    Google Scholar 

  8. L. Tomio, A. Delfino, and S. K. Adhikari, Phys. Rev. C 35, 441 (1987).

    Article  ADS  Google Scholar 

  9. Yu. V. Orlov, N. M. Petrov, and G. N. Teneva, Yad. Fiz. 55, 38 (1992) [Sov. J. Nucl. Phys. 55, 23 (1992)].

    Google Scholar 

  10. Yu. V. Orlov, Yu. P. Orevkov, and L. I. Nikitina, Izv. Akad. Nauk, Ser. Fiz. 60, 152 (1996).

    Google Scholar 

  11. V. Efimov, Nucl. Phys. A 362, 45 (1981).

    ADS  Google Scholar 

  12. Yu. V. Orlov, Yu. P. Orevkov, and L. I. Nikitina, Yad. Fiz. 63, 394 (2000) [Phys. At. Nucl. 63, 328 (2000)].

    Google Scholar 

  13. Yu. V. Orlov, Yu. P. Orevkov, and L. I. Nikitina, Yad. Fiz. 65, 396 (2002) [Phys. At. Nucl. 65, 371 (2002)].

    Google Scholar 

  14. A. N. Safronov, Yad. Fiz. 50, 951 (1989) [Sov. J. Nucl. Phys. 50, 593 (1989)].

    Google Scholar 

  15. V. B. Belyaev, B. F. Irgaziev, and Yu. V. Orlov, Preprint No. P4-81-58, OiYaI (Joint Institute for Nuclear Research, Dubna, 1974).

  16. V. B. Belyaev, B. F. Irgaziev, and Yu. V. Orlov, Yad. Fiz. 24, 44 (1976) [Sov. J. Nucl. Phys. 24, 22 (1976)].

    Google Scholar 

  17. A. Kievsky, S. Rosati, W. Tornow, and M. Viviani, Nucl. Phys. A 607, 402 (1996).

    ADS  Google Scholar 

  18. R. B. Wiringa, V. G. J. Stoks, and R. Schiavilla, Phys. Rev. C 51, 38 (1995).

    Article  ADS  Google Scholar 

  19. J. L. Friar et al., Phys. Rev. C 42, 2310 (1990).

    ADS  Google Scholar 

  20. G. L. Payne et al., Phys. Rev. C 30, 1132 (1984).

    Article  ADS  MathSciNet  Google Scholar 

  21. Yu. V. Orlov and L. I. Nikitina, Yad. Fiz. 61, 833 (1998) [Phys. At. Nucl. 61, 750 (1998)].

    Google Scholar 

  22. Yu. V. Orlov, Phys. Lett. B 163B, 25 (1985).

    ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Institute of Nuclear Physics, Moscow State University, Vorob'evy gory, Moscow, 119992, Russia

    Yu. V. Orlov & Yu. P. Orevkov

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  1. Yu. V. Orlov
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  2. Yu. P. Orevkov
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Additional information

From Yadernaya Fizika, Vol. 66, No. 1, 2003, pp. 83–88.

Original English Text Copyright © 2003 by Orlov, Orevkov.

This article was submitted by the authors in English.

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Orlov, Y.V., Orevkov, Y.P. nd scattering at low energies in the two-body potential model. Phys. Atom. Nuclei 66, 81–86 (2003). https://doi.org/10.1134/1.1540660

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  • DOI: https://doi.org/10.1134/1.1540660

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