Abstract
The discovery of halos, one of the most interesting phenomena in exotic nuclei, has opened up a new field in nuclear physics. To understand this unique property, the level structures of \(^{14}\)B, \(^{15}\)C, \(^{22}\)N, \(^{23}\)O, \(^{24}\)F, and \(^{25}\)Ne are studied with the complex momentum representation (CMR) method. We calculate the single-particle energies of bound and resonant states, and examine the occupation probabilities, density distribution, wavefunctions of the valence neutron occupied levels, and the root mean square (RMS) radii of the single-particle orbits. These results show that \(^{14}\)B, \(^{15}\)C, and \(^{22}\)N are neutron halo nuclei dominated by s-wave configurations in \(-0.08\le \beta _{2}\le 0\), \(0.1\le \beta _{2}\le 0.3\), and \(-0.1\le \beta _{2}\le 0.08\), respectively. Although the last valence neutron of \(^{23}\)O, \(^{24}\)F, and \(^{25}\)Ne all occupy the 2\(s_{1/2}\) orbit (the orbit with a dominant s-wave configuration), the single-particle levels occupied by the valence neutrons are rather bound. It implies a neutron skin structure in \(^{23}\)O, \(^{24}\)F, and \(^{25}\)Ne with spherical shape or prolate deformation. The halo phenomena are not only related to the orbital occupied by the last valence neutron but also to its separation energy. This prediction has reference value for further exploration of neutron halo in experiments.
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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The datasets generated or analyzed during the current studies are available from the corresponding author on reasonable request. The data are not publicly available due to privacy or ethical restrictions.]
References
I. Tanihata, H. Hamagaki, O. Hashimoto et al., Phys. Rev. Lett. 55, 2676 (1985)
I. Tanihata, H. Savajols, R. Kanungo, Prog. Part. Nucl. Phys. 68, 215 (2013)
J. Meng, S.G. Zhou, J. Phys. G: Nucl. Part. Phys. 42, 093101 (2015)
T. Nakamura, H. Sakurai, H. Watanabe, Prog. Part. Nucl. Phys. 97, 53 (2017)
J. Al-Khalili, Halo Nuclei (San Rafael, Morgan Claypool, 2017)
P.G. Hansen, A.S. Jensen, B. Jonson, Annu. Rev. Nucl. Part. Sci. 45, 591 (1995)
T. Aumann, D. Aleksandrov, L. Axelsson et al., Phys. Rev. C 59, 1252 (1999)
T. Nakamura, A.M. Vinodkumar, T. Sugimoto et al., Phys. Rev. Lett. 96, 252502 (2006)
F. Catara, C.H. Dasso, A. Vitturi, Nucl. Phys. A 602, 181 (1996)
A.S. Jensen, K. Riisager, Phys. Lett. B 480, 39 (2000)
M. Fukuda, T. Ichihara, N. Inabe et al., Phys. Lett. B 268, 339 (1991)
T. Moriguchi, A. Ozawa, S. Ishimoto et al., Nucl. Phys. A 929, 83 (2014)
J.R. Terry, D. Bazin, B.A. Brown et al., Tostevin Phys. Rev. C 69, 054306 (2004)
R. Kanungo, W. Horiuchi, G. Hagen et al., Phys. Rev. Lett. 117, 102501 (2016)
K. Tanaka, T. Yamaguchi, T. Suzuki et al., Phys. Rev. Lett. 104, 062701 (2010)
T. Suzuki, R. Kanungo, O. Bochkarev et al., Nuclear radii of \(^{17,19}\)B and \(^{14}\)Be. Nuclear Phys. A 658, 313 (1999)
Z.H. Yang, Y. Kubota, A. Corsi et al., Phys. Rev. Lett. 126, 082501 (2021)
K.J. Cook, T. Nakamura, Y. Kondo et al., Phys. Rev. Lett. 124, 212503 (2020)
S. Bagchi, R. Kanungo, Y.K. Tanaka et al., Phys. Rev. Lett. 124, 222504 (2020)
J. Singh, J. Casal, W. Horiuchi, L. Fortunato, A. Vitturi, Phys. Rev. C. 101, 024310 (2020)
M.H. Smedberg, T. Baumann, T. Aumann et al., Phys. Lett. B 452, 1 (1999)
Z.H. Li et al., Chin. Phys. Lett. 22, 1870 (2005)
A. Ozawa, T. Kobayashi, H. Sato et al., Phys. Lett. B 334, 18 (1994)
T. Suzuki, H. Geissel, O. Bochkarev et al., Nucl. Phys. A 616, 286 (1997)
A. Ozawa, K. Matsuta, T. Nagatomo et al., Phys. Rev. C 74, 021301 (2006)
G. Audi, A.H. Wapstra, C. Thibault, Nucl. Phys. A 729, 337 (2003)
T. Nakamura et al., Phys. Rev. Lett. 103, 262501 (2009)
N. Kobayashi et al., Phys. Rev. Lett. 112, 242501 (2014)
Y. Togano, T. Nakamura, Y. Kondo et al., Phys. Lett. B 761, 412–418 (2016)
X.X. Sun, J. Zhao, S.G. Zhou, Nucl. Phys. A 1003, 122011 (2020)
M. Tanaka et al., JPS Conf. Proc. 6, 020026 (2015)
A.N. Abdullah, Pramana-J. Phys. 89, 43 (2017)
M. Tanaka et al., Acta Phys. Polon. B 48, 461 (2017)
A.N. Abdullah, Pramana-J. Phys. 94, 154 (2020)
D. Bazin et al., Phys. Rev. C 61, 064609 (2000)
G.A. Lalazissis, D. Vretenar, P. Ring, Eur. Phys. J. A 22, 37 (2004)
C. Nociforo, K.L. Jones, L.H. Khiem et al., Phys. Lett. B 605, 79 (2005)
J. Meng, P. Ring, Phys. Rev. Lett. 80, 460 (1998)
J. Meng, H. Toki, J.Y. Zeng et al., Phys. Rev. C 65, 041302 (2002)
M. Grasso, S. Yoshida, N. Sandulescu et al., Phys. Rev. C 74, 064317 (2006)
J. Humblet, B.W. Filippone, S.E. Koonin, Phys. Rev. C 44, 2530 (1991)
J.R. Taylor, Scattering Theory: The Quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972)
L.G. Cao, Z.Y. Ma, Phys. Rev. C 66, 024311 (2002)
G.M. Hale, R.E. Brown, N. Jarmie, Phys. Rev. Lett. 59, 763 (1987)
E.P. Wigner, L. Eisenbud, Phys. Rev. 72, 29 (1947)
B.N. Lu, E.G. Zhao, S.G. Zhou, Phys. Rev. Lett. 109, 072501 (2012)
B.N. Lu, E.G. Zhao, S.G. Zhou, Phys. Rev. C 88, 024323 (2013)
Z.P. Li, J. Meng, Y. Zhang et al., Phys. Rev. C 81, 034311 (2010)
Z.P. Li, Y. Zhang, D. Vretenar et al., Sci. China-Phys. Mech. Astron. 53, 773 (2010)
A.U. Hazi, H.S. Taylor, Phys. Rev. A 1, 1109 (1970)
K. Hagino, N. Van Giai, Nucl. Phys. A 735, 55 (2004)
B. Gyarmati, A.T. Kruppa, Phys. Rev. C 34, 95 (1986)
A.T. Kruppa, P.H. Heenen, H. Flocard et al., Phys. Rev. Lett. 79, 2217 (1997)
J.Y. Guo, X.Z. Fang, P. Jiao et al., Phys. Rev. C 82, 034318 (2010)
S.Y. Wang, Z.L. Zhu, Z.M. Niu, Nucl. Sci. Tech. 27, 122 (2016)
S.S. Zhang, J. Meng, S.G. Zhou et al., Phys. Rev. C 70, 034308 (2004)
S.S. Zhang, M.S. Smith, Z.S. Kang et al., Phys. Lett. B 730, 30 (2014)
M. Shi, X.X. Shi, Z.M. Niu et al., Eur. Phys. J. A 53, 40 (2017)
N. Li, M. Shi, J.Y. Guo et al., Phys. Rev. Lett. 117, 062502 (2016)
K.M. Ding, M. Shi, J.Y. Guo et al., Phys. Rev. C 98, 014316 (2018)
X.N. Cao, Q. Liu, J.Y. Guo, J. Phys. G 45, 085105 (2018)
X.N. Cao, Q. Liu, Z.M. Niu et al., Phys. Rev. C 99, 024314 (2019)
Y. Wang, Z.M. Niu, M. Shi et al., J. Phys. G 46, 125103 (2019)
Y.X. Luo, Q. Liu, J.Y. Guo, Phys. Rev. C 104, 014307 (2021)
X.N. Cao, K.M. Ding, M. Shi, Q. Liu, J.Y. Guo, Phys. Rev. C 102, 044313 (2020)
X.N. Cao, M. Fu, X.X. Zhou et al., Eur. Phys. J Plus 137, 906 (2022)
T.H. Heng, Y.W. Chu, Nucl. Sci. Tech. 33, 117 (2022)
Z. Fang, M. Shi, J.Y. Guo et al., Phys. Rev. C 95, 024311 (2017)
Y.J. Tian, Q. Liu, T.H. Heng et al., Phys. Rev. C 95, 064329 (2017)
X.N. Cao, Q. Liu, J.Y. Guo, Phys. Rev. C 99, 014309 (2019)
Y.X. Luo, Q. Liu, J.Y. Guo et al., J. Phys. G 47, 085105 (2020)
X.W. Wang, J.Y. Guo, Phys. Rev. C 104, 044315 (2021)
S.Y. Zhai, X.N. Cao, J.Y. Guo, J. Phys. G 49, 065101 (2022)
X.N. Cao, X.X. Zhou, M. Fu, X.X. Shi, Nucl. Sci. Tech. 34, 25 (2023)
A. Bohr, B.R. Mottelson, Nuclear Structure, vol. I (Benjamin, Reading, 1969)
I. Hamamoto, Phys. Rev. C 72, 024301 (2005)
National Nuclear Data Center, http://www.nndc.bnl.gov
A. Ozawa et al., Nucl. Phys. A 691, 599 (2001)
A. Ozawa et al., Nucl. Phys. A 693, 32 (2001)
S. Ahmad, A.A. Usmani, Z.A. Khan, Phys. Rev. C 96, 064602 (2017)
R. Kanungo, I. Tanihata, A. Ozawa, Phys. Lett. B 512, 261 (2001)
R. Kanungo, A. Prochazka, M. Uchida et al., Phys. Rev. C 84, 061304(R) (2011)
R. Kanungo et al., Phys. Rev. Lett. 88, 142502 (2002)
D. Cortina-Gil et al., Phys. Rev. Lett. 93, 062501 (2004)
R. Chatterjee, R. Shyamb, K. Tsushima, A.W. Thomas, Nucl. Phys. A 913, 116–126 (2013)
M. Kimura, Phys. Rev. C 95, 034331 (2017)
T. Sumi et al., Phys. Rev. C 85, 064613 (2012)
W. Geithner et al., Phys. Rev. C 71, 064319 (2005)
P.G. Hansen, B. Jonson, Europhys. Lett. 4, 409 (1987)
P.G. Hansen, B. Jonson, Europhys. Lett. 4, 409 (1992)
H.T. Fortune, Phys. Rev. C 94, 064307 (2016)
S. Kahane, S. Raman, J. Dudek, Phys. Rev. C 40, 2282 (1989)
I. Hamamoto, Eur. Phys. J. A 13, 21 (2002)
Acknowledgements
This work was partly supported by the National Natural Science Foundation of China under Grants No. 12205001 and No. 11935001; the scientific research program of Anhui University of Finance and Economics under Grant No. ACKYC22080.
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Communicated by Takashi Nakatsukasa.
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Wu, X., Yin, GR., Cao, XN. et al. Exploration of the exotic structure of deformation nuclei by complex momentum representation method. Eur. Phys. J. A 60, 26 (2024). https://doi.org/10.1140/epja/s10050-024-01246-1
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DOI: https://doi.org/10.1140/epja/s10050-024-01246-1