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Title: Evidence for prevalent Z = 6 magic number in neutron-rich carbon isotopes

Abstract

Here, the nuclear shell structure, which originates in the nearly independent motion of nucleons in an average potential, provides an important guide for our understanding of nuclear structure and the underlying nuclear forces. Its most remarkable fingerprint is the existence of the so-called magic numbers of protons and neutrons associated with extra stability. Although the introduction of a phenomenological spin–orbit (SO) coupling force in 1949 helped in explaining the magic numbers, its origins are still open questions. Here, we present experimental evidence for the smallest SO-originated magic number (subshell closure) at the proton number six in C obtained from systematic analysis of point-proton distribution radii, electromagnetic transition rates and atomic masses of light nuclei. Performing ab initio calculations on C, we show that the observed proton distribution radii and subshell closure can be explained by the state-of-the-art nuclear theory with chiral nucleon–nucleon and three-nucleon forces, which are rooted in the quantum chromodynamics.

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [3];  [2];  [4];  [5];  [6];  [6];  [7];  [8];  [2];  [2];  [2];  [9];  [10];  [11];  [1];  [2];  [2] more »; ORCiD logo [12];  [13];  [5];  [14];  [15];  [2];  [2];  [16];  [17];  [18];  [19];  [20];  [21];  [15];  [2];  [9];  [2];  [22];  [23];  [2] « less
  1. Osaka Univ., Osaka (Japan); Vietnam Academy of Science and Technology, Hanoi (Vietnam)
  2. Osaka Univ., Osaka (Japan)
  3. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
  4. Nihon Univ., Tokyo (Japan); National Astronomical Observatory of Japan, Tokyo (Japan)
  5. Kyoto Univ., Kyoto (Japan)
  6. Beihang Univ., Beijing (China)
  7. Osaka Univ., Osaka (Japan); Beihang Univ., Beijing (China)
  8. Pham Ngoc Thach Univ. of Medicine, Ho Chi Ming (Vietnam); VNUHCM-Univ. of Science, Ho Chi Minh City (Vietnam); Sungkyunkwan Univ., Gyeonggi-do (South Korea)
  9. GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt (Germany); Justus Leibig Univ., Giessen (Germany)
  10. GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt (Germany); Univ. of Groningen, Groningen (The Netherlands)
  11. Institute for Basic Science, Daejeon (Korea)
  12. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  13. Saint Mary's Univ., Halifax, NS (Canada)
  14. Vietnam Academy of Science and Technology, Hanoi (Vietnam)
  15. Chinese Academy of Sciences, Lanzhou (China)
  16. Kochi Univ. of Technology, Kochi (Japan)
  17. RIKEN Nishina Center, Saitama (Japan)
  18. Dong Nai Univ., Dong Nai (Vietnam)
  19. Tokyo Univ. of Science, Chiba (Japan)
  20. Univ. of Tokyo, Tokyo (Japan)
  21. Univ. of Tsukuba, Ibaraki (Japan)
  22. Niigata Univ., Niigata (Japan)
  23. Chinese Academy of Sciences, Lanzhou (China); Texas A & M Univ., College Station, TX (United States)
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1474691
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Nature Communications
Additional Journal Information:
Journal Volume: 9; Journal Issue: 1; Journal ID: ISSN 2041-1723
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS

Citation Formats

Tran, D. T., Ong, H. J., Hagen, Gaute, Morris, Titus D., Aoi, N., Suzuki, T., Kanada-En’yo, Y., Geng, L. S., Terashima, S., Tanihata, I., Nguyen, T. T., Ayyad, Y., Chan, P. Y., Fukuda, M., Geissel, H., Harakeh, M. N., Hashimoto, T., Hoang, T. H., Ideguchi, E., Inoue, A., Jansen, Gustav R., Kanungo, R., Kawabata, T., Khiem, L. H., Lin, W. P., Matsuta, K., Mihara, M., Momota, S., Nagae, D., Nguyen, N. D., Nishimura, D., Otsuka, T., Ozawa, A., Ren, P. P., Sakaguchi, H., Scheidenberger, C., Tanaka, J., Takechi, M., Wada, R., and Yamamoto, T. Evidence for prevalent Z = 6 magic number in neutron-rich carbon isotopes. United States: N. p., 2018. Web. doi:10.1038/s41467-018-04024-y.
Tran, D. T., Ong, H. J., Hagen, Gaute, Morris, Titus D., Aoi, N., Suzuki, T., Kanada-En’yo, Y., Geng, L. S., Terashima, S., Tanihata, I., Nguyen, T. T., Ayyad, Y., Chan, P. Y., Fukuda, M., Geissel, H., Harakeh, M. N., Hashimoto, T., Hoang, T. H., Ideguchi, E., Inoue, A., Jansen, Gustav R., Kanungo, R., Kawabata, T., Khiem, L. H., Lin, W. P., Matsuta, K., Mihara, M., Momota, S., Nagae, D., Nguyen, N. D., Nishimura, D., Otsuka, T., Ozawa, A., Ren, P. P., Sakaguchi, H., Scheidenberger, C., Tanaka, J., Takechi, M., Wada, R., & Yamamoto, T. Evidence for prevalent Z = 6 magic number in neutron-rich carbon isotopes. United States. https://doi.org/10.1038/s41467-018-04024-y
Tran, D. T., Ong, H. J., Hagen, Gaute, Morris, Titus D., Aoi, N., Suzuki, T., Kanada-En’yo, Y., Geng, L. S., Terashima, S., Tanihata, I., Nguyen, T. T., Ayyad, Y., Chan, P. Y., Fukuda, M., Geissel, H., Harakeh, M. N., Hashimoto, T., Hoang, T. H., Ideguchi, E., Inoue, A., Jansen, Gustav R., Kanungo, R., Kawabata, T., Khiem, L. H., Lin, W. P., Matsuta, K., Mihara, M., Momota, S., Nagae, D., Nguyen, N. D., Nishimura, D., Otsuka, T., Ozawa, A., Ren, P. P., Sakaguchi, H., Scheidenberger, C., Tanaka, J., Takechi, M., Wada, R., and Yamamoto, T. Mon . "Evidence for prevalent Z = 6 magic number in neutron-rich carbon isotopes". United States. https://doi.org/10.1038/s41467-018-04024-y. https://www.osti.gov/servlets/purl/1474691.
@article{osti_1474691,
title = {Evidence for prevalent Z = 6 magic number in neutron-rich carbon isotopes},
author = {Tran, D. T. and Ong, H. J. and Hagen, Gaute and Morris, Titus D. and Aoi, N. and Suzuki, T. and Kanada-En’yo, Y. and Geng, L. S. and Terashima, S. and Tanihata, I. and Nguyen, T. T. and Ayyad, Y. and Chan, P. Y. and Fukuda, M. and Geissel, H. and Harakeh, M. N. and Hashimoto, T. and Hoang, T. H. and Ideguchi, E. and Inoue, A. and Jansen, Gustav R. and Kanungo, R. and Kawabata, T. and Khiem, L. H. and Lin, W. P. and Matsuta, K. and Mihara, M. and Momota, S. and Nagae, D. and Nguyen, N. D. and Nishimura, D. and Otsuka, T. and Ozawa, A. and Ren, P. P. and Sakaguchi, H. and Scheidenberger, C. and Tanaka, J. and Takechi, M. and Wada, R. and Yamamoto, T.},
abstractNote = {Here, the nuclear shell structure, which originates in the nearly independent motion of nucleons in an average potential, provides an important guide for our understanding of nuclear structure and the underlying nuclear forces. Its most remarkable fingerprint is the existence of the so-called magic numbers of protons and neutrons associated with extra stability. Although the introduction of a phenomenological spin–orbit (SO) coupling force in 1949 helped in explaining the magic numbers, its origins are still open questions. Here, we present experimental evidence for the smallest SO-originated magic number (subshell closure) at the proton number six in C obtained from systematic analysis of point-proton distribution radii, electromagnetic transition rates and atomic masses of light nuclei. Performing ab initio calculations on C, we show that the observed proton distribution radii and subshell closure can be explained by the state-of-the-art nuclear theory with chiral nucleon–nucleon and three-nucleon forces, which are rooted in the quantum chromodynamics.},
doi = {10.1038/s41467-018-04024-y},
journal = {Nature Communications},
number = 1,
volume = 9,
place = {United States},
year = {Mon Apr 23 00:00:00 EDT 2018},
month = {Mon Apr 23 00:00:00 EDT 2018}
}

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Cited by: 19 works
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Figures / Tables:

Figure 1 Figure 1: Nuclear shell structure. The left diagram is the shell structure for a harmonic-oscillator potential plus a small orbital angular momentum (l2) term. The right diagram shows the splitting of the single-particle orbitals by an additional spin–orbit coupling force

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Works referencing / citing this record:

Neutron quadrupole transition strength in C 10 deduced from the C 10 ( α , α ) measurement with the MAIKo active target
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Experimental study of the low-lying negative-parity states in Be 11 using the B 12 ( d , He 3 ) Be 11 reaction
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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.