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Effective-range parameters and vertex constants for $Λ$ -nuclear systems

S. A. Rakityansky

Department of Physics, University of Pretoria, Pretoria, South Africa

E-mail Address: rakitsa@up.ac.za

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and

I. M. Gopane

Department of Physics, University of Pretoria, Pretoria, South Africa

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https://doi.org/10.1142/S0218301317500148Cited by:1 (Source: Crossref)

Abstract

For a wide range of the core-nuclei ( $6 \leq A \leq 207$ ), the scattering lengths, effective radii, and the other effective-range parameters (up to the order $\sim k^{8}$ ) for the angular momentum $ℓ = 0, 1, 2$ are calculated within a two-body $Λ A$ -model. For the same hypernuclear systems, the $S$ -matrix residues as well as the corresponding Nuclear-Vertex and Asymptotic-Normalization constants (NVC’s and ANC’s) for the bound states are also found.

Keywords:

PACS: 14.20.Jn, 21.80.+a, 03.65.Nk, 03.65.Ge

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References

1. A. Gal, E. V. Hungerfordy and D. J. Millenerz, Strangeness in nuclear physics, arXiv:1605.00557v2 [nucl-th]. Google Scholar
2. A. M. Mukhamedzhanov, R. P. Schmitt, R. E. Tribble and A. Sattarov, Phys. Rev. C 52 (1995) 3483. Crossref, Web of Science, ADS, Google Scholar
3. L. D. Blokhintsev, V. O. Eremenko, B. F. Irgaziev and Yu. V. Orlov, Bull. Russ. Acad. Sci., Phys. 71 (2007) 408. Crossref, Google Scholar
4. S. A. Rakityansky and N. Elander, J. Phys. A, Math. Theory 42 (2009) 225302. Crossref, Web of Science, ADS, Google Scholar
5. S. A. Rakityansky and N. Elander, J. Phys. A, Math. Theory 44 (2011) 115303. Crossref, Web of Science, ADS, Google Scholar
6. S. A. Rakityansky and N. Elander, J. Math. Phys. 54 (2013) 122112. Crossref, Web of Science, ADS, Google Scholar
7. S. A. Rakityansky, S. A. Sofianos and K. Amos, Nuovo Cimento B 111 (1996) 363. Crossref, Web of Science, ADS, Google Scholar
8. S. A. Sofianos and S. A. Rakityansky, J. Phys. A 30 (1997) 3725. Crossref, ADS, Google Scholar
9. T. Berggren, Nucl. Phys. A 109 (1968) 265. Crossref, Web of Science, ADS, Google Scholar
10. T. Berggren, Phys. Lett. B 44 (1973) 23. Crossref, Web of Science, ADS, Google Scholar
11. T. Berggren, Phys. Lett. B 33 (1970) 547. Crossref, Web of Science, ADS, Google Scholar
12. T. N. Rescigno and C. W. McCurdy, Phys. Rev. A 34 (1986) 1882. Crossref, Web of Science, ADS, Google Scholar
13. J. R. Taylor, Scattering Theory (Dover Publications, Inc., Mineola, New York, 2000). Google Scholar
14. L. D. Blokhintsev, I. Borbei and E. I. Dolinski, Sov. J. Part. Nucl. 8 (1977) 485. Google Scholar
15. S. A. Rakityansky, S. A. Sofianos and N. Elander, J. Phys. A, Math. Theory 40 (2007) 14857. Crossref, Web of Science, ADS, Google Scholar
16. M. L. Goldberger and K. M. Watson, Collision Theory (John Wiley & Sons, New York, London, Sydney, 1967). Google Scholar
17. A. I. Baz, Ya. B. Zeldovich and A. M. Perelomov, Scattering, Reactions and Decay in Nonrelativistic Quantum Mechanics (Israel Program for Scientific Translations, Jerusalem, 1969). Google Scholar
18. M. Castagnino, R. Id. Betan, R. Laura and R. J. Liotta, J. Phys. A 35 (2002) 6055. Crossref, ADS, Google Scholar
19. D. H. Davis and J. Pniewski, Contemp. Phys. 27 (1986) 91. Crossref, Web of Science, ADS, Google Scholar
20. C. F. Gerald and P. O. Wheatley, Applied Numerical Analysis (Addison-Wesley, New York, 1994). Google Scholar
21. S. C. Frautschi, Regge Poles and S-Matrix Theory (Frontiers in Physics) (W. A. Benjamin, New York, 1963). Google Scholar