Ядерна фізика та енергетика Nuclear Physics and Atomic Energy   ISSN: 1818-331X (Print), 2074-0565 (Online)   Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine   Languages: Ukrainian, English   Periodicity: 4 times per year   Open access peer reviewed journal

Full text (en)

F. Arickx¹, J. Broeckhove¹, P. Hellinckx¹, V. S. Vasilevsky², A. V. Nesterov<sup>2

1</sup>University of Antwerp, Antwerp, Belgium
²Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

Abstract: The resonance structure of ⁵H is investigated within a three-cluster microscopic model. Hyperspherical Harmonics are used to characterize the channels of the three-cluster continuum and to implement the appropriate boundary conditions. The model predicts the energy and width of the ⁵H resonance states well and allows for a detailed channel analysis.

1. Jonson B. Light dripline nuclei. Phys. Rep. 389 (2004) 1. https://doi.org/10.1016/j.physrep.2003.07.004

2. Stepantsov S. V., Golovkov M. S., Fomichev A. S. et al. ⁵H and ⁵He nuclear systems studied by means of the ⁶He + ²H reaction. Nucl. Phys. A 738 (2004) 436. https://doi.org/10.1016/j.nuclphysa.2004.04.081

3. Chulkov L. V. Heavy hydrogen isotopes ⁴H and ⁵H. Nucl. Phys. A 734 (2004) 357. https://doi.org/10.1016/j.nuclphysa.2004.01.065

4. Meister M., Chulkov L. V., Simon H. et al. The t + n + n System and ⁵H. Phys. Rev. Let. 91 (2003) 162504. https://doi.org/10.1103/PhysRevLett.91.162504

5. Golovkov M. S., Oganessian Y. T., Bogdanov D. D. et al. Evidences for resonance states in ⁵H. Phys. Lett. B 566 (2003) 70. https://doi.org/10.1016/S0370-2693(03)00803-7

6. Meister M., Chulkov L. V., Simon H. et al. Searching for the ⁵H resonance in the t + n + n system. Nucl. Phys. A 723 (2003) 13. https://doi.org/10.1016/S0375-9474(03)01312-5

7. Sidorchuk S. I., Bogdanov D. D., Fomichev A. S. et al. Resonance states of hydrogen nuclei ⁴H and ⁵H obtained in transfer reactions with exotic beams. Nucl. Phys. A 719 (2003) 229. https://doi.org/10.1016/S0375-9474(03)00924-2

8. Korsheninnikov A. A., Golovkov M. S., Ozawa A. et al. Superheavy Hydrogen ⁵H and Spectroscopy of ⁷He. Phys. of Atomic Nucl. 65 (2002) 664. https://doi.org/10.1134/1.1471270

9. Korsheninnikov A. A., Golovkov M. S., Tanihata I. et al. Superheavy Hydrogen ⁵H. Phys. Rev. Lett. 87 (2001) 092501. https://doi.org/10.1103/PhysRevLett.87.092501

10. Golovkov M. S., Korsheninnikov A. A., Tanihata I. et al. Spectroscopy of ⁷He and Superheavy Hydrogen Isotope ⁵H. Phys. At. Nucl. 64 (2001) 1244. https://doi.org/10.1134/1.1389550

11. Shul'gina N. B., Danilin B. V., Grigorenko L. V. et al. Nuclear structure of ⁵H in a three-body ³H + n + n model. Phys. Rev. C 62 (2000) 014312. https://doi.org/10.1103/PhysRevC.62.014312

12. Descouvemont P., Kharbach A. Microscopic cluster study of the ⁵H nucleus. Phys. Rev. C 63 (2001) 027001. https://doi.org/10.1103/PhysRevC.63.027001

13. Arai K. Resonance states of ⁵H and ⁵Be in a microscopic three-cluster model. Phys. Rev. C 68 (2003) 034303. https://doi.org/10.1103/PhysRevC.68.034303

14. Filippov G. F., Bazavov A. D., Kato K. Resonance states in the ⁵He and ⁶Be nuclear Systems. Phys. of At. Nucl. 62 (1999) 1642.

15. Golovkov M. S., Grigorenko L. V., Fomichev A. S. et al. Observation of Excited States in ⁵H. Phys. Rev. Lett. 93 (2004) 262501. https://doi.org/10.1103/PhysRevLett.93.262501

16. Kukulin V. I., Krasnopolsky V. M. A stochastic variational method for few-body systems. J. Phys. G 3 (1977) 795. https://doi.org/10.1088/0305-4616/3/6/011

17. Kukulin V. I., Krasnopol'sky V. M., Horacek J. Theory of Resonances. Principles and Applications (Boston, London: Kluwer Academic Publishers, 1989) 150 p.

18. Grigorenko L. V., Timofeyuk N. K., Zhukov M. V. Broad states beyond the neutron drip line. Examples of ⁵H and ⁴n. Eur. Phys. Journal A 19 (2004) 187. https://doi.org/10.1140/epja/i2003-10124-1

19. Vasilevsky V. S., Nesterov A. V., Arickx F., Broeckhove J. Algebraic model for scattering in three-s-cluster systems. I. Theoretical background. Phys. Rev. C 63 (2001) 034606. https://doi.org/10.1103/PhysRevC.63.034606

20. Vasilevsky V. S., Nesterov A. V., Arickx F., Broeckhove J. Algebraic model for scattering in three-s-cluster systems. II. Resonances in three-cluster continuum of ⁶He and ⁶Be. Phys. Rev. C 63 (2001) 034607. https://doi.org/10.1103/PhysRevC.63.034607

21. Zhukov M. V., Danilin B. V., Fedorov D. V. et al. Bound state properties of Borromean halo nuclei: ⁶He and ¹¹Li. Phys. Rep. 231 (1993) 151. https://doi.org/10.1016/0370-1573(93)90141-Y

22. Bang J. M., Danilin B. V., Efros V. D. et al. Few-body aspects of Borromean halo nuclei. Phys. Rep. 264 (1996) 27. https://doi.org/10.1016/0370-1573(95)00024-0

23. Cobis A., Fedorov D. V., Jensen A. S. Computations of the three-body continuum spectrum of ⁶He. Nucl. Phys. A 631 (1998) 793. https://doi.org/10.1016/S0375-9474(98)00111-0

24. Cobis A., Fedorov D. V., Jensen A. S. Three-body halos. V. Computations of continuum spectra for Borromean nuclei. Phys. Rev. C 58 (1988) 403. https://doi.org/10.1103/PhysRevC.58.1403

25. Thompson D. R., Le Mere M., Tang Y. C. Systematic investigation of scattering problems with the resonating-group method. Nucl. Phys. A 268 (1977) 53. https://doi.org/10.1016/0375-9474(77)90007-0

26. Hasegawa A., Nagata S. Ground state of ⁶Li. Progr. Theor. Phys. 45 (1971) 1786. https://doi.org/10.1143/PTP.45.1786

27. Tanabe F., Tohsaki A., Tamagaki R. Progr. Theor. Phys. 53 (1975) 677. https://doi.org/10.1143/PTP.53.677

28. Tilley D. R., Weller H. R., Hale G. M. Energy levels of light nuclei A = 4. Nucl. Phys. A 541 (1992) 1. https://doi.org/10.1016/0375-9474(92)90635-W

29. Hellinckx P., Vanmechelen K., Stuer G. et al. User Experiences with Nuclear Physics calculations on H₂O Metacomputing System and on the Begrid. Lecture Notes in Computer Science 3515 (2005) 1081. https://doi.org/10.1007/11428848_136

30. Vasilevsky V., Arickx F., Broeckhove J., Romanov V. Theoretical analysis of resonance states in ⁴H and ⁴Li above three-cluster threshold. Ukr. J. Phys. 49 (2004) 1053.