Abstract
Nuclear cluster physics implicitly assumes a distinction between groups of degrees-of-freedom, that is the (frozen) intrinsic and (explicitly treated) relative cluster motion. We formulate a realistic and practical method to describe the coupled motion of these two sets of degrees-of-freedom. We derive a coupled set of differential equations for the system using the phenomenologically adjusted effective in-medium Skyrme type of nucleon-nucleon interaction. We select a two-nucleon plus core system where the mean-field approximation corresponding to the Skyrme interaction is used for the core. A hyperspherical adiabatic expansion of the Faddeev equations is used for the relative cluster motion. We shall specifically compare both the structure and the decay mechanism found from the traditional three-body calculations with the result using the new boundary condition provided by the full microscopic structure at small distance. The extended Hilbert space guaranties an improved wave function compared to both mean-field and three-body solutions. We shall investigate the structures and decay mechanism of \(^{22}\)C (\(^{20}\)C+n+n). In conclusion, we have developed a method combining nuclear few- and many-body techniques without losing the descriptive power of each approximation at medium-to-large distances and small distances respectively. The coupled set of equations are solved self-consistently, and both structure and dynamic evolution are studied.
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References
A.S. Jensen, K. Riisager, D.V. Fedorov, E. Garrido, Structure and reactions of quantum halos. Rev. Mod. Phys. 76, 215 (2004)
K. Riisager, Halos and related structures. Phys. Scr. T152, 014001 (2013)
D. Hove et al., Borromean structures in medium-heavy nuclei. Phys. Rev. C 90, 064311 (2014)
D. Hove et al., Capture reactions into Borromean two-proton systems at rp-waiting points. Phys. Rev. C 93, 024601 (2016)
D. Vautherin, D.M. Brink, Hartree-Fock calculations with Skyrme’s interaction. I. Spherical nuclei. Phys. Rev. C 5, 626–647 (1972)
E. Garrido, D.V. Fedorov, A.S. Jensen, Phys. Rev. C 69, 024002 (2004)
E. Nielsen, D.V. Fedorov, A.S. Jensen, E. Garrido, The three-body problem with short-range interactions. Phys. Rep. 347, 373–457 (2001)
D. Hove et al., Assessing the accuracy of Hartree-Fock-Bogoliubov calculations by use of mass relations. Eur. Phys. J. A 50, 181 (2014)
D. Hove, A.S. Jensen, K. Riisager, Global phenomenological descriptions of nuclear odd-even mass staggering. Phys. Rev. C 88, 064329 (2013)
N. Kobayashi et al., One-and two-neutron removal reactions from the most neutron-rich carbon isotopes. Phys. Rev. C 86, 054604 (2012)
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This article belongs to the Topical Collection “The 23rd European Conference on Few-Body Problems in Physics”.
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Hove, D., Garrido, E., Jensen, A.S. et al. Combining Few-Body Cluster Structures with Many-Body Mean-Field Methods. Few-Body Syst 58, 33 (2017). https://doi.org/10.1007/s00601-017-1216-3
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DOI: https://doi.org/10.1007/s00601-017-1216-3