Study of the structure of 12C and 6Li nuclei in the α-cluster and shell models

Cover Page

Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

Wave functions of the ground state of the 12C and 6Li nuclei in the α-cluster model are calculated using Feynman’s path integrals and hyperspherical functions. The energy of separation to α-particles and the charge distributions were calculated and agreement with experimental data was obtained. In addition, the shell model of the deformed nuclei is used to calculate the nucleon states in the 12C nucleus for comparison against α-cluster model.

About the authors

A. S Bazhin

Joint Institute for Nuclear Research; National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)

Email: vichshizik@gmail.com
Dubna, Russia; Moscow, Russia

V. V Samarin

Joint Institute for Nuclear Research; Dubna State University

Dubna, Russia; Dubna, Russia

References

  1. Оглоблин А.А. // ЭЧАЯ. 1972. Т. 3. С. 936.
  2. Potthast K.W., Brand H., Freiesleben H. et al. // Nucl. Phys. A. 1997. V. 614. P. 95.
  3. Barioni A., Zamora J.C., Guimaraes V. et al. // Phys. Rev. C. 2011. V. 84. Art. No. 014603.
  4. Horiuchi H., Ikeda K., Kiyoshi Kato K. // Progr. Theor. Phys. Suppl. 2012. V. 192. P. 1.
  5. Rodrigues M.R.D., Borello-Lewin T., Miyake H. et al. // Phys. Rev. C. 2014. V. 89. Art. No. 024306.
  6. Demyanova A.S., Bang J.M., Gareev F.A. et al. // Nucl. Phys. A. 1989. V. 501. P. 336.
  7. Maslov V.A., Astsbatyan R.A., Damaskin V.A. et al. // Phys. Part. Nucl. Lett. 2011. V. 8. P. 34.
  8. Ogloblin A.A., Glukhov Yu.A., Trzaska W.H. et al. // Phys. Rev. C. 2000. V. 62. Art. No. 044601.
  9. von Oertzen W., Freer M., Kanada En’yo Y. // Phys. Rep. 2006. V. 432. P. 43.
  10. Freer M. // Rep. Progr. Phys. 2007. V. 70. P. 2149.
  11. Horiuchi H. // In: Clusters in Nuclei. V. 1. Lecture notes in physics 818. Springer, 2010. P. 57.
  12. Kamimura M. // Nucl. Phys. A. 1981. V. 351. P. 456.
  13. Maruhn J.A., Kimura M., Schramm S. et al. // Phys. Rev. C. 2006. V. 74. Art. No. 044311.
  14. Kanada-En’yo Y., Suhara T., Kobayashi F. // EPJ Web Conf. 2014. V. 66. Art. No. 01008.
  15. Freer M., Fynbo H.O.U. // Progr. Part. Nucl. Phys. 2014. V. 78. P. 1.
  16. Navrа´til P., Quaglioni S., Stetcu I, Barrett B.R. // J. Physics G. Nucl. Part. Phys. 2009. V. 36 Art. No. 083101.
  17. Descouvemont P., Daniel C., Baye D. // Phys. Rev. C. 2003. V. 67. Art. No. 044309.
  18. Tursunov E.M. // J. Physics G. Nucl. Part. Phys. 2001. V. 27. P. 1381.
  19. Tursunov E.M., Baye D., Descouvemont P. // Nucl. Phys. A. 2003. V. 723. P. 365.
  20. Samarin V.V. // Eur. Phys. J. A. 2022. V. 58. Art. No. 117.
  21. Samarin V.V., Naumenko M.A. // Nuovo Cimento C. 2019. V. 42. No. 2-3. Art. No. 130.
  22. Samarin V.V. // Bull. Russ. Acad. Sci. Phys. 2022. V. 86. P. 901.
  23. Bazhin A.S., Samarin V.V. // Bull. Russ. Acad. Sci. Phys. 2024. V. 88. No. 8. P. 1177.
  24. Kukulin V.I., Pomerantsev V.N., Razikov Kh.D. et al. // Nucl. Phys. A 1995. V. 586. P. 151.
  25. Samarin V.V., Naumenko M.A. // Bull. Russ. Acad. Sci. Phys. 2019. V. 83. No. 4. P. 411.
  26. Rodkin D.M., Tchuvil’sky Yu.M. // JETP Lett. 2023. V. 118. No. 3. P. 153.
  27. Samarin V.V. // Bull. Russ. Acad. Sci. Phys. 2020. V. 84. P. 981.
  28. Ali S., Bodmer A.R. // Nucl. Phys. 1966. V. 80. P. 99.
  29. http://nrv.jinr.ru
  30. Samarin V.V., Naumenko M.A. // Phys. Atom. Nucl. 2017. V. 80. P. 877.
  31. Sick I. // Phys. Lett. B. 1982. V. 116. P. 212.
  32. Afnan I.R., Tang Y.C. // Phys. Rev. 1968. V. 175. P. 1337.
  33. Angeli I., Marinova K.P. // Atom. Data Nucl. Data Tabl. 2013. V. 99. P. 69.
  34. Alkhazov G.D., Dobrovolsky A.V., Egelhof P. et al. // Nucl. Phys. A. 2002. V. 712. P. 269.
  35. Li G.C., Sick I., Whitney R.R., Yearian M.R. // Nucl. Phys. A. 1971. V. 162. P. 583.
  36. Nortershauser W., Dax A., Ewald G. et al. // Hyperfine Interact. 2005. No. 1–4. P. 93.
  37. Bushaw B.A., Nortershauser W., Ewald G. et al. // Phys. Rev. Lett. V. 91. Art. No. 043004.
  38. de Jager C.W., de Vries H., de Vries C. // Atom. Data Nucl. Tables V. 141. P. 479.
  39. Tanihata I., Hamagaki H. // Phys. Rev. Lett. 1985. V. 55. No. 24. P. 2676.
  40. http://cdfe.sinp.msu.ru/services/radchart/radmain.html.
  41. Stone N.J. // Atom. Data Nucl. Data Tabl. 2016. V. 111–112. P. 1.
  42. Sundholm D., Pyykko¨ P., Laaksonen L. et al. // Chem. Phys. Lett. 1984. V. 112. P. 1.
  43. Vermeer W.J., Esat M.T., Kuehner J.A., Spear R.H. // Phys. Lett. B. 1983. V. 122. P. 23.
  44. Patyk Z., Sobiczewski A. // Nucl. Phys. A. 1991. V. 533. P. 132.
  45. Samarin V.V. // Phys. Atom. Nucl. 2015. V. 78. P. 128.
  46. Samarin V.V. // Phys. Atom. Nucl. 2010. V. 73. P. 1416.
  47. Zagrebaev V.I., Samarin V.V. // Phys. Atom. Nucl. 2004. V. 67. P. 1462.

Supplementary files

Supplementary Files
Action
1. JATS XML
Download

Copyright (c) 2025 Russian Academy of Sciences

Согласие на обработку персональных данных

 

Используя сайт https://journals.rcsi.science, я (далее – «Пользователь» или «Субъект персональных данных») даю согласие на обработку персональных данных на этом сайте (текст Согласия) и на обработку персональных данных с помощью сервиса «Яндекс.Метрика» (текст Согласия).