Abstract
β-decay properties of N=18-22, Z=10-14 nuclei are analyzed with a new shell-model Hamiltonian using the Gogny density-dependent interaction. The Gogny force which has been widely and successfully used in mean-field theory can provide reasonable two-body matrix elements for cross-shell calculations. The log ft values and β-decay level schemes are systematically studied using the D1S-Gogny interaction and compared with the SDPF-M results and experimental data. It is shown that the new Hamiltonian provides reliable results for β-decay along with subtle level schemes for this region. Shell-model calculations with Gogny interaction can lead to a successful description of nuclei in and around the N=20 island of inversion and supplements experiment where sufficient data are not available.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
M. G. Mayer, Phys. Rev. 75, 1969 (1949).
C. Thibault, R. Klapisch, C. Rigaud, A. M. Poskanzer, R. Prieels, L. Lessard, and W. Reisdorf, Phys. Rev. C 12, 644 (1975).
G. Huber, F. Touchard, S. Bttgenbach, C. Thibault, R. Klapisch, H. T. Duong, S. Liberman, J. Pinard, J. L. Vialle, P. Juncar, and P. Jacquinot, Phys. Rev. C 18, 2342 (1978).
C. Détraz, D. Guillemaud, G. Huber, R. Klapisch, M. Langevin, F. Naulin, C. Thibault, L. C. Carraz, and F. Touchard, Phys. Rev. C 19, 164 (1979).
T. Motobayashi, Y. Ikeda, K. Ieki, M. Inoue, N. Iwasa, T. Kikuchi, M. Kurokawa, S. Moriya, S. Ogawa, H. Murakami, S. Shimoura, Y. Yanagisawa, T. Nakamura, Y. Watanabe, M. Ishihara, T. Teranishi, H. Okuno, and R. F. Casten, Phys. Lett. B 346, 9 (1995).
E. K. Warburton, J. A. Becker, and B. A. Brown, Phys. Rev. C 41, 1147 (1990).
X. Campi, H. Flocard, A. K. Kerman, and S. Koonin, Nucl. Phys. A 251, 193 (1975).
E. Caurier, F. Nowacki, and A. Poves, Nucl. Phys. A 693, 374 (2001).
Y. Utsuno, T. Otsuka, T. Mizusaki, and M. Honma, Nucl. Phys. A 704, 50 (2002).
E. K. Warburton, and B. A. Brown, Phys. Rev. C 46, 923 (1992).
B. A. Brown, and W. A. Richter, Phys. Rev. C 74, 034315 (2006).
M. Honma, T. Otsuka, B. A. Brown, and T. Mizusaki, Phys. Rev. C 65, 061301 (2002).
B. H. Wildenthal, Prog. Particle Nucl. Phys. 11, 5 (1984).
E. K. Warburton, and J. A. Becker, Phys. Rev. C 40, 2823 (1989).
J. Dechargé, and D. Gogny, Phys. Rev. C 21, 1568 (1980).
G. X. Dong, X. B. Wang, and S. Y. Yu, Sci. China-Phys. Mech. Astron. 58, 112004 (2015).
W. Y. Liang, C. F. Jiao, F. R. Xu, and X. M. Fu, Sci. China-Phys. Mech. Astron. 59, 692012 (2016).
A. C. Morton, P. F. Mantica, B. A. Brown, A. D. Davies, D. E. Groh, P. T. Hosmer, S. N. Liddick, J. I. Prisciandaro, H. Schatz, M. Steiner, and A. Stolz, Phys. Lett. B 544, 274 (2002).
V. Tripathi, S. L. Tabor, P. Bender, C. R. Hoffman, S. Lee, K. Pepper, M. Perry, P. F. Mantica, J. M. Cook, J. Pereira, J. S. Pinter, J. B. Stoker, D. Weisshaar, Y. Utsuno, and T. Otsuka, Phys. Rev. C 77, 034310 (2008).
F. Rotaru, F. Negoita, S. Grévy, J. Mrazek, S. Lukyanov, F. Nowacki, A. Poves, O. Sorlin, C. Borcea, R. Borcea, A. Buta, L. Cáceres, S. Calinescu, R. Chevrier, Z. Dombrádi, J. M. Daugas, D. Lebhertz, Y. Penionzhkevich, C. Petrone, D. Sohler, M. Stanoiu, and J. C. Thomas, Phys. Rev. Lett. 109, 092503 (2012).
T. Zidar, in Investigation of the nuclear structure of 33Al through betadecay of 33Mg to probe the island of inversion: Proceedings of APS Division of Nuclear Physics Meeting (APS, Vancouver, 2016).
B. H. Wildenthal, Prog. Particle Nucl. Phys. 11, 5 (1984).
B. A. Brown, and W. A. Richter, Phys. Rev. C 74, 034315 (2006).
B. Rubio, and W. Gelletly, The Euroschool Lectures on Physics with Exotic Beams (Springer, Berlin Heidelberg, 2009), pp. 99-151.
C. Détraz, D. Guillemaud, G. Huber, R. Klapisch, M. Langevin, F. Naulin, C. Thibault, L. C. Carraz, and F. Touchard, Phys. Rev. C 19, 164 (1979).
Y. Utsuno, T. Otsuka, T. Mizusaki, and M. Honma, Phys. Rev. C 60, 054315 (1999).
Y. Utsuno, T. Otsuka, T. Glasmacher, T. Mizusaki, and M. Honma, Phys. Rev. C 70, 044307 (2004).
J. Dechargé, and D. Gogny, Phys. Rev. C 21, 1568 (1980).
R. W. Ibbotson, T. Glasmacher, B. A. Brown, L. Chen, M. J. Chromik, P. D. Cottle, M. Fauerbach, K. W. Kemper, D. J. Morrissey, H. Scheit, and M. Thoennessen, Phys. Rev. Lett. 80, 2081 (1998).
H. Scheit, T. Glasmacher, B. A. Brown, J. A. Brown, P. D. Cottle, P. G. Hansen, R. Harkewicz, M. Hellström, R. W. Ibbotson, J. K. Jewell, K. W. Kemper, D. J. Morrissey, M. Steiner, P. Thirolf, and M. Thoennessen, Phys. Rev. Lett. 77, 3967 (1996).
B. A. Brown, and B. H. Wildenthal, Annu. Rev. Nucl. Part. Sci. 38, 29 (1988).
T. T. S. Kuo, and G. E. Brown, Nucl. Phys. A. 114, 241 (1968)
D. J. Millener, and D. Kurath, Nucl. Phys. A. 255, 315 (1975)
J. F. Berger, M. Girod, and D. Gogny, Comp. Phys. Commun. 63, 365 (1991)
Acknowledgments
This work was supported by the National Key Basic Research Program of China (Grant No. 2013CB834402), the National Natural Science Foundation of China (Grant Nos. 11235001, 11320101004, and 11575007), and the China-U.S. Theory Institute for Physics with Exotic Nuclei (CUSTIPEN) funded by the U.S. Department of Energy, Office of Science (Grant No. DESC0009971). We thank Prof. Utsuno and Otsuka (Department of Physics, University of Tokyo) for the SDPF-M interaction and C. X. Yuan (Sino-French Institute of Nuclear Engineering and Technology, Sun Yat-sen University) for fruitful discussions
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Jiang, W., Hu, B., Xu, F. et al. β-decay studies approaching the N=20 island of inversion with a new shell-model Hamiltonian. Sci. China Phys. Mech. Astron. 60, 082011 (2017). https://doi.org/10.1007/s11433-017-9032-6
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11433-017-9032-6