Abstract
We perform a detailed analysis for the structure of \(^{31}\)F, which is a candidate of the halo nucleus. We calculate the radius and total reaction cross section using a three-body wave function of \(^{29}\)F+n+n and discuss how the competition between the neutron-pairing and the single-particle energy induces structural changes of \(^{31}\)F. The present analysis further clarifies a new aspect of the anti-halo effect that suppresses the halo structure in the ground state.
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References
I. Tanihata, H. Savajols, R. Kanungo, Recent experimental progress in nuclear halo structure studies. Prog. Part. Nucl. Phys. 68, 215 (2013)
M.V. Zhukov, B.V. Danilin, D.V. Fedorov, J.M. Bang, I.J. Thompson, J.S. Vaagen, Bound state properties of Borromean halo nuclei: \(^{6}\)He and \(^{11}\)Li. Phys. Rep. 231, 151 (1993)
D.S. Ahn, N. Fukuda, H. Geissel, N. Inabe, N. Iwasa, T. Kubo et al., Location of the neutron dripline at fluorine and neon. Phys. Rev. Lett. 123, 212501 (2019)
K. Bennaceur, J. Dobaczewski, M. Płoszajczak, Pairing anti-halo effect. Phys. Lett. B 496, 154 (2000)
K. Hagino, H. Sagawa, Evidence for a pairing anti-halo effect in the odd-even staggering in reaction cross sections of weakly bound nuclei. Phys. Rev. C 84, 011303(R) (2011)
H. Masui, W. Horiuchi, M. Kimura, Two-neutron halo structure of \(^{31}\)F and a novel pairing antihalo effect. Phys. Rev. C 101, 041303(R) (2020)
Y. Suzuki, K. Ikeda, Cluster-orbital shell model and its application to the He isotopes. Phys. Rev. C 38, 410 (1988)
T. Myo, Y. Kikuchi, H. Masui, K. Katō, Recent development of complex scaling method for many-body resonances and continua in light nuclei. Prog. Part. Nucl. Phys. 79, 1 (2014)
H. Masui, K. Katō, N. Michel, M. Płoszajczak, Precise comparison of the Gaussian expansion method and the Gamow shell model. Phys. Rev. C 89, 044317 (2014)
S. Saito, Theory of Resonating Group Method and Generator Coordinate Method and Orthogonality Condition Model. Prog. Theor. Phys. Suppl. 62, 11 (1977)
W. Horiuchi, Y. Suzuki, P. Capel, D. Baye, Probing the weakly-bound neutron orbit of \(^{31}\)Ne with total reaction and one-neutron removal cross sections. Phys. Rev. C 81, 024606 (2010)
D.R. Thompson, M. LeMere, Y.C. Tang, Systematic investigation of scattering problems with the resonating-group method. Nucl. Phys. A 286, 53 (1977)
R.J. Glauber, Lectures in Theoretical Physics, ed. by W.E. Brittin, L.G. Dunham (Interscience, New York, 1959), Vol. 1, p. 315
B. Abu-Ibrahim, Y. Suzuki, Utility of nucleon-target profile function in cross section calculations. Phys. Rev. C 61, 051601(R) (2000)
B. Abu-Ibrahim, W. Horiuchi, A. Kohama, Y. Suzuki, Reaction cross sections of carbon isotopes incident on a proton. Phys. Rev. C 77, 034607 (2008)
B. Abu-Ibrahim, W. Horiuchi, A. Kohama, Y. Suzuki, Erratum: Reaction cross sections of carbon isotopes incident on a proton [Phys. Rev. C 77, 034607 (2008)]. Phys. Rev. C 80, 029903(E) (2009)
B. Abu-Ibrahim, W. Horiuchi, A. Kohama, Y. Suzuki, Publisher’s Note: Reaction cross sections of carbon isotopes incident on a proton [Phys. Rev. C 77, 034607 (2008)]. Phys. Rev. C 81, 019901(E) (2010)
W. Horiuchi, T. Inakura, T. Nakatsukasa, Y. Suzuki, Glauber-model analysis of total reaction cross sections for Ne, Mg, Si, and S isotopes with Skyrme-Hartree-Fock densities. Phys. Rev. C 86, 024614 (2012)
Acknowledgements
This work was in part supported by JSPS KAKENHI Grant Nos. 18K03636, 18K03635, 18H04569, 19H05140, and 19K03859, and the collaborative research program 2021, information initiative center, Hokkaido University.
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Masui, H., Horiuchi, W. & Kimura, M. Two-Neutron Halo Structure and Anti-halo Effect in \(^\mathbf{31}\)F. Few-Body Syst 63, 20 (2022). https://doi.org/10.1007/s00601-021-01715-z
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DOI: https://doi.org/10.1007/s00601-021-01715-z