Abstract.
The Yakubovsky formalism for the six-nucleon bound-state problem leads to five coupled equations in terms of five independent structures, which can be reduced to two coupled ones, for the case of effective 3-body model, namely \( \alpha\) -core, and two loosely bound neutrons. In order to calculate the binding energy of the six-nucleon bound system, the reduced coupled Yakubovsky equations are represented in momentum space for a separable nucleon-nucleon interaction. This is the first step toward the calculations of the six-nucleon bound-state problem in the Yakubovsky approach. Comparison of our numerical results for binding energies of six-nucleon and four-nucleon problems with respect to the regarded Yamaguchi separable potential confirms that the six-nucleon bound system, in the case of effective \( \alpha\) -core structure, is a halo structure.
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12 October 2017
The paper has been retracted by the Editorial Board after an investigation on the possibility that part of the published results were obtained in collaboration with scientists not included in the author list.
References
A. Nogga, arXiv:nucl-th/0611081(2006)
A. Nogga, P. Navratil, B.R. Barrett, J.P. Vary, Phys. Rev. C 73, 064002 (2006)
T.C. Luu, P. Navratil, A. Nogga, arXiv:nucl-th/0412109 (2004)
B.S. Pudliner, V.R. Pandharipande, J. Carlson, R.B. Wiringa, Phys. Rev. Lett. 74, 4396 (1995)
E.D. Jurgenson, P. Navratil, R.J. Furnstahl, arXiv:nucl-th/1011.4085 (2010)
S. Bacca, A. Schwenk, G. Hagen, T. Papenbrock, Eur. Phys. J. A 42, 553 (2009)
G. Hagen, D.J. Dean, M. Hjorth-Jensen, T. Papenbrock, Phys. Lett. B 656, 169 (2007)
M. Gattobigio, A. Kievsky, M. Viviani, Few-Body Syst. 50, 463 (2011)
K. Varga, Y. Suzuki, Y. Ohbaysi, Phys. Rev. C 50, 189 (1994)
H. Kamada, W. Glöckle, Nucl. Phys. A 548, 205 (1992)
W. Glöckle, H. Kamada, Nucl. Phys. A 560, 541 (1993)
H. Kamada, W. Glöckle, Phys. Lett. B 292, 1 (1992)
W. Glöckle, H. Kamada, Phys. Rev. Lett. 71, 971 (1993)
A. Nogga, H. Kamada, W. Glöckle, Phys. Rev. Lett. 85, 944 (2000)
A. Nogga, H. Kamada, W. Glöckle, B.R. Barrett, Phys. Rev. C 65, 054003 (2002)
D. Rozpe, Acta Phys. Pol. B 37, 2889 (2006)
W. Glöckle, H. Witala, Few-Body Syst. 51, 27 (2011)
H. Kamada et al., Phys. Rev. C 64, 044001 (2001)
H. Kamada, W. Glöckle, Few-Body Syst. 7, 217 (1994)
A. Stadler, W. Glöckle, P.U. Saur, Phys. Rev. C 44, 2319 (1991)
M.R. Hadizadeh, S. Bayegan, Few-Body Syst. 40, 171 (2007)
L. Platter, H.W. Hammer, U.G. Mei$\beta$ner, Phys. Rev. A 70, 052101 (2004) and L. Plater, arXiv:nucl-th/0511003v1(2005)
D. Huber, H. Witala, A. Nogga, W. Glöckle, H. Kamada, Few-Body Syst. 22, 107 (1997)
B.F. Gibson, D.R. Lehman, Phys. Rev. C 15, 2257 (1977)
V.F. Kharchenko, V.E. Kuzmichev, Nucl. Phys. A 183, 606 (1972)
I.M. Narodetsky, E.S. Galpern, V.N. Lyakhovitsky, Phys. Lett. B 46, 51 (1973)
A.C. Fonseca, Phys. Rev. C 30, 35 (1984)
Ch. Elster, W. Schadow, A. Nogga, W. Glöckle, Few-Body Syst. 27, 83 (1999)
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The paper "Six-body bound system calculations in the case of effective alpha-core structure", by “Ahmadi Pouya, E. & Rajabi, A.A.”, published as “Eur. Phys. J. Plus (2016) 131: 240. https://doi.org/10.1140/epjp/i2016-16240-2”, has been retracted by the Editorial Board after an investigation on the possibility that part of the published results were obtained in collaboration with scientists not included in the author list.
An erratum to this article is available at https://doi.org/10.1140/epjp/i2017-11724-1.
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Ahmadi Pouya, E., Rajabi, A.A. RETRACTED ARTICLE: Six-body bound system calculations in the case of effective \( \alpha\) -core structure. Eur. Phys. J. Plus 131, 240 (2016). https://doi.org/10.1140/epjp/i2016-16240-2
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DOI: https://doi.org/10.1140/epjp/i2016-16240-2