Advertisement

JETP Letters

, Volume 109, Issue 7, pp 425–431 | Cite as

Asymptotic Characteristics of Cluster Channels within an Ab Initio Approach

  • D. M. RodkinEmail author
  • Yu. M. Tchuvil’sky
Fields, Particles, and Nuclei
  • 6 Downloads

Abstract

An approach has been developed to calculate the characteristics of cluster channels—the asymptotic normalization coefficients of bound states and the decay widths of narrow resonances of light nuclei. Realistic wavefunctions, in particular, those calculated within various variants of the ab initio approach to solve the Schrödinger equation for A nucleons, are used as the wavefunctions of these states and channel-forming clusters. Cluster properties of strongly and weakly clustered states of the 7Li nucleus have been studied. It has been shown that the calculations of the asymptotic characteristics of cluster channels within the no-core shell model generally reproduce experimental data well but are sensitive in detail to the NN potential.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    J. A. Wheeler, Phys. Rev. 52, 1083 (1937).CrossRefGoogle Scholar
  2. 2.
    J. A. Wheeler, Phys. Rev. 52, 1107 (1937).CrossRefGoogle Scholar
  3. 3.
    H. Horiuchi, Prog. Theor. Phys. Suppl. 62, 90 (1977).CrossRefGoogle Scholar
  4. 4.
    A. Adahchour and P. Descouvemont, Nucl. Phys. A 813, 252 (2008).CrossRefGoogle Scholar
  5. 5.
    P. Descouvemont and D. Baye, Phys. Lett. B 505, 71 (2001).CrossRefGoogle Scholar
  6. 6.
    K. Arai, P. Descouvemont, D. Baye, and W. Catford, Phys. Rev. C 68, 014310 (2003).CrossRefGoogle Scholar
  7. 7.
    K. Wildermuth and Y. C. Tang, A Unified Theory of the Nucleus (Vieweg, Braunschweig, 1977).CrossRefGoogle Scholar
  8. 8.
    S. Quaglioni and P. Navratil, Phys. Rev. C 79, 044606 (2009).CrossRefGoogle Scholar
  9. 9.
    P. Navratil, J. P. Vary, and B. R. Barrett, Phys. Rev. Lett. 84, 5728 (2000).CrossRefGoogle Scholar
  10. 10.
    P. Navratil, S. Quaglioni, I. Stetcu, and B. Barrett, J. Phys. G: Nucl. Part. Phys. 36, 083101 (2009).CrossRefGoogle Scholar
  11. 11.
    P. Maris, J. P. Vary, and A. M. Shirokov, Phys. Rev. C 79, 014308 (2009).CrossRefGoogle Scholar
  12. 12.
    P. Maris, A. M. Shirokov, and J. P. Vary, Phys. Rev. C 81, 021301(R) (2010).CrossRefGoogle Scholar
  13. 13.
    P. Maris and J. P. Vary, Int. J. Mod. Phys. E 22, 1330016 (2013).CrossRefGoogle Scholar
  14. 14.
    B. R. Barret, P. Navratil, and J. P. Vary, Progr. Part. Nucl. Phys. 69, 131 (2013).CrossRefGoogle Scholar
  15. 15.
    P. Navratil and S. Quaglioni, Phys. Rev. Lett. 108, 042503 (2012).CrossRefGoogle Scholar
  16. 16.
    S. Baroni, P. Navratil, and S. Quaglioni, Phys. Rev. Lett. 110, 022505 (2013).CrossRefGoogle Scholar
  17. 17.
    S. Baroni, P. Navratil, and S. Quaglioni, Phys. Rev. C 87, 034326 (2013).CrossRefGoogle Scholar
  18. 18.
    J. Langhammer, P. Navratil, S. Quaglioni, G. Hupin, A. Calci, and R. Roth, Phys. Rev. C 91, 021301 (2015).CrossRefGoogle Scholar
  19. 19.
    J. Dohet-Eraly, P. Navratil, S. Quaglioni, W. Horiuchi, G. Hupin, and F. Raimondi, Phys. Lett. B 757, 430 (2016).CrossRefGoogle Scholar
  20. 20.
    S. Quaglioni, C. Romero-Redondo, P. Navratil, and G. Hupin, Phys. Rev. C 97, 034332 (2018).CrossRefGoogle Scholar
  21. 21.
    T. Neff and H. Feldmeier, Int. J. Mod. Phys. E 17, 2005 (2008).CrossRefGoogle Scholar
  22. 22.
    T. Neff, Phys. Rev. Lett. 106, 042502 (2011).CrossRefGoogle Scholar
  23. 23.
    D. M. Rodkin and Yu. M. Tchuvil’sky, J. Phys.: Conf. Ser. 966, 012022 (2018).Google Scholar
  24. 24.
    D. M. Rodkin and Yu. M. Tchuvil’sky, JETP Lett. 108, 429 (2018).CrossRefGoogle Scholar
  25. 25.
    D. M. Rodkin and Yu. M. Tchuvil’sky, Phys. Lett. B 788, 238 (2019).CrossRefGoogle Scholar
  26. 26.
    A. M. Shirokov, I. J. Shin, Y. Kim, M. Sosonkina, P. Maris, and J. P. Vary, Phys. Lett. B 761, 87 (2016).CrossRefGoogle Scholar
  27. 27.
    D. R. Entem and R. Machleidt, Phys. Rev. C 68, 041001 (2003).CrossRefGoogle Scholar
  28. 28.
    S. K. Bogner, R. J. Furnstahl, and R. J. Perry, Phys. Rev. C 75, 061001 (2007).CrossRefGoogle Scholar
  29. 29.
    A. M. Shirokov, J. P. Vary, A. I. Mazur, and T. A. Weber, Phys. Lett. B 644, 33 (2007).CrossRefGoogle Scholar
  30. 30.
    G. F. Filippov and I. P. Okhnmenko, Sov. J. Nucl. Phys. 32, 932 (1980).Google Scholar
  31. 31.
    Yu. F. Smirnov and Yu. M. Tchuvil’sky, Phys. Rev. C 15, 84 (1977).CrossRefGoogle Scholar
  32. 32.
    Yu. F. Smirnov and Yu. M. Tchuvil’sky, Czech. J. Phys. 33, 215 (1983).CrossRefGoogle Scholar
  33. 33.
    Yu. M. Tchuvil’sky, W. W. Kurowsky, A. A. Sakharuk, and V. G. Neudatchin, Phys. Rev. C 51, 784 (1995).CrossRefGoogle Scholar
  34. 34.
    O. F. Nemets, V. G. Neudatchin, A. E. Rudchik, Yu. F. Smirnov, and Yu. M. Tchuvil’sky, Nuclear Clusters in Atomic Nuclei and Multinucleon Transfer Reactions (Naukova Dumka, Kiev, 1988) [in Russian].Google Scholar
  35. 35.
    A. Volya and Yu. M. Tchuvil’sky, Phys. Rev. C 91, 044319 (2015).CrossRefGoogle Scholar
  36. 36.
    A. Volya and Yu. M. Tchuvil’sky, Phys. At. Nucl. 79, 772 (2016).CrossRefGoogle Scholar
  37. 37.
    T. Fliessbach and H. J. Mang, Nucl. Phys. A 263, 75 (1976).CrossRefGoogle Scholar
  38. 38.
    R. G. Lovas, R. J. Liotta, A. Insolia, K. Varga, and D. E. Delion, Phys. Rep. 294, 265 (1998).CrossRefGoogle Scholar
  39. 39.
    S. G. Kadmensky, S. D. Kurgalin, and Yu. M. Tchuvil’sky, Phys. Part. Nucl. 38, 699 (2007).CrossRefGoogle Scholar
  40. 40.
    M. L. Avila, G. V. Rogachev, V. Z. Goldberg, E. D. Johnson, K. W. Kemper, Yu. M. Tchuvil’sky, and A. S. Volya, Phys. Rev. C 90, 024327 (2014).CrossRefGoogle Scholar
  41. 41.
    S. G. Kadmensky and V. I. Furman, Alpha-Decay and Related Nuclear Reactions (Energoatomizdat, Moscow, 1985) [in Russian].Google Scholar
  42. 42.
    L. D. Blokhintsev, I. Borbely, and E. I. Dolinskii, Sov. J. Part. Nucl. 8, 485 (1977).Google Scholar
  43. 43.
    S. B. Igamov and R. Yarmukhamedov, Nucl. Phys. A 781, 247 (2007).CrossRefGoogle Scholar
  44. 44.
    D. R. Tilley, C. M. Cheves, J. L. Godwina, G. M. Haled, H. M. Hofmann, J. H. Kelleya, C. G. Sheua, and H. R. Weller, Nucl. Phys. A 708, 3 (2002).CrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Inc. 2019

Authors and Affiliations

  1. 1.All-Russia Research Institute of AutomaticsMoscowRussia
  2. 2.Moscow Institute of Physics and TechnologyState UniversityDolgoprudnyi, Moscow regionRussia
  3. 3.Pacific National UniversityKhabarovskRussia
  4. 4.Skobeltsyn Institute of Nuclear PhysicsMoscow State UniversityMoscowRussia

Personalised recommendations