Abstract
We employ the shell model with the chiral two- and three-nucleon forces. The effective Hamiltonian relevant to the valence-model space is computed microscopically. This framework is applied to the study of the neutron-drip line of the calcium isotopes. Our simulation shows that the calculated two-neutron separation energies are consistent with those of currently available experiment and \(^{70}\mathrm {Ca}\) is possibly bound, as other theoretical attempts predict.
Similar content being viewed by others
References
D.S. Ahn, N. Fukuda, H. Geissel, N. Inabe, N. Iwasa, T. Kubo, K. Kusaka, D.J. Morrissey, D. Murai, T. Nakamura, M. Ohtake, H. Otsu, H. Sato, B.M. Sherrill, Y. Shimizu, H. Suzuki, H. Takeda, O.B. Tarasov, H. Ueno, Y. Yanagisawa, K. Yoshida, Phys. Rev. Lett. 123, 212501 (2019). https://doi.org/10.1103/PhysRevLett.123.212501
T. Otsuka, T. Suzuki, J.D. Holt, A. Schwenk, Y. Akaishi, Phys. Rev. Lett. 105, 032501 (2010). https://doi.org/10.1103/PhysRevLett.105.032501
O.B. Tarasov, D.S. Ahn, D. Bazin, N. Fukuda, A. Gade, M. Hausmann, N. Inabe, S. Ishikawa, N. Iwasa, K. Kawata, T. Komatsubara, T. Kubo, K. Kusaka, D.J. Morrissey, M. Ohtake, H. Otsu, M. Portillo, T. Sakakibara, H. Sakurai, H. Sato, B.M. Sherrill, Y. Shimizu, A. Stolz, T. Sumikama, H. Suzuki, H. Takeda, M. Thoennessen, H. Ueno, Y. Yanagisawa, K. Yoshida, Phys. Rev. Lett. 121, 022501 (2018). https://doi.org/10.1103/PhysRevLett.121.022501
R. Machleidt, D. Entem, Phys. Rep. 503(1), 1 (2011)
P. Navrátil, V.G. Gueorguiev, J.P. Vary, W.E. Ormand, A. Nogga, Phys. Rev. Lett. 99, 042501 (2007). https://doi.org/10.1103/PhysRevLett.99.042501
T. Fukui, L. De Angelis, Y.Z. Ma, L. Coraggio, A. Gargano, N. Itaco, F.R. Xu, Phys. Rev. C 98, 044305 (2018). https://doi.org/10.1103/PhysRevC.98.044305
R. Roth, S. Binder, K. Vobig, A. Calci, J. Langhammer, P. Navrátil, Phys. Rev. Lett. 109, 052501 (2012). https://doi.org/10.1103/PhysRevLett.109.052501
L. Coraggio, A. Covello, A. Gargano, N. Itaco, T. Kuo, Ann. Phys. 327(9), 2125 (2012)
L. Coraggio, N. Itaco, Front. Phys. 8, 345 (2020)
K. Suzuki, R. Okamoto, H. Kumagai, S. Fujii, Phys. Rev. C 83, 024304 (2011). https://doi.org/10.1103/PhysRevC.83.024304
Y.Z. Ma, L. Coraggio, L. De Angelis, T. Fukui, A. Gargano, N. Itaco, F.R. Xu, Phys. Rev. C 100, 034324 (2019). https://doi.org/10.1103/PhysRevC.100.034324
L. Coraggio, G. De Gregorio, A. Gargano, N. Itaco, T. Fukui, Y.Z. Ma, F.R. Xu, Phys. Rev. C 102, 054326 (2020). https://doi.org/10.1103/PhysRevC.102.054326
Data extracted using the NNDC On-line Data Service from the ENSDF database. https://www.nndc.bnl.gov/ensdf
P. Maris, J.P. Vary, P. Navrátil, Phys. Rev. C 87, 014327 (2013). https://doi.org/10.1103/PhysRevC.87.014327
E. Caurier, P. Navrátil, W.E. Ormand, J.P. Vary, Phys. Rev. C 66, 024314 (2002). https://doi.org/10.1103/PhysRevC.66.024314
Y. Kanada-Enyo, H. Morita, F. Kobayashi, Phys. Rev. C 91, 054323 (2015). https://doi.org/10.1103/PhysRevC.91.054323
Q. Zhao, Z. Ren, M. Lyu, H. Horiuchi, Y. Kanada-Enyo, Y. Funaki, G. Röpke, P. Schuck, A. Tohsaki, C. Xu, T. Yamada, B. Zhou, Phys. Rev. C 100, 014306 (2019). https://doi.org/10.1103/PhysRevC.100.014306
S.C. Pieper, R.B. Wiringa, Ann. Rev. Nucl. Particle Sci. 51(1), 53 (2001). https://doi.org/10.1146/annurev.nucl.51.101701.132506
N. Itagaki, H. Matsuno, Y. Kanada-Enyo, Prog. Theor. Exp. Phys. 2019(6), 063D02 (2019). https://doi.org/10.1093/ptep/ptz046
J.D. Holt, J. Menéndez, J. Simonis, A. Schwenk, Phys. Rev. C 90, 024312 (2014). https://doi.org/10.1103/PhysRevC.90.024312
G. Audi, A. Wapstra, C. Thibault, Nucl. Phys. A 729(1), 337 (2003)
F. Wienholtz, D. Beck, K. Blaum, C. Borgmann, M. Breitenfeldt, R.B. Cakirli, S. George, F. Herfurth, J.D. Holt, M. Kowalska, S. Kreim, D. Lunney, V. Manea, J. Menéndez, D. Neidherr, M. Rosenbusch, L. Schweikhard, A. Schwenk, J. Simonis, J. Stanja, R.N. Wolf, K. Zuber, Nature 498(7454), 346 (2013). https://doi.org/10.1038/nature12226
S. Michimasa, M. Kobayashi, Y. Kiyokawa, S. Ota, D.S. Ahn, H. Baba, G.P.A. Berg, M. Dozono, N. Fukuda, T. Furuno, E. Ideguchi, N. Inabe, T. Kawabata, S. Kawase, K. Kisamori, K. Kobayashi, T. Kubo, Y. Kubota, C.S. Lee, M. Matsushita, H. Miya, A. Mizukami, H. Nagakura, D. Nishimura, H. Oikawa, H. Sakai, Y. Shimizu, A. Stolz, H. Suzuki, M. Takaki, H. Takeda, S. Takeuchi, H. Tokieda, T. Uesaka, K. Yako, Y. Yamaguchi, Y. Yanagisawa, R. Yokoyama, K. Yoshida, S. Shimoura, Phys. Rev. Lett. 121, 022506 (2018). https://doi.org/10.1103/PhysRevLett.121.022506
M. Kortelainen, J. McDonnell, W. Nazarewicz, P.G. Reinhard, J. Sarich, N. Schunck, M.V. Stoitsov, S.M. Wild, Phys. Rev. C 85, 024304 (2012). https://doi.org/10.1103/PhysRevC.85.024304
S. Goriely, N. Chamel, J.M. Pearson, Phys. Rev. C 88, 024308 (2013). https://doi.org/10.1103/PhysRevC.88.024308
N. Wang, M. Liu, X. Wu, J. Meng, Phys. Lett. B 734, 215 (2014)
L. Neufcourt, Y. Cao, W. Nazarewicz, E. Olsen, F. Viens, Phys. Rev. Lett. 122, 062502 (2019). https://doi.org/10.1103/PhysRevLett.122.062502
S.R. Stroberg, J.D. Holt, A. Schwenk, J. Simonis, Phys. Rev. Lett. 126, 022501 (2021). https://doi.org/10.1103/PhysRevLett.126.022501
Y. Ma, F. Xu, L. Coraggio, B. Hu, J. Li, T. Fukui, L. De Angelis, N. Itaco, A. Gargano, Phys. Lett. B 802, 135257 (2020)
Acknowledgements
This research was supported in part by the National Key R&D Program of China under Grant No. 2018YFA0404401, the National Natural Science Foundation of China under Grants Nos. 11921006, 11835001, and 12035001, as well as the CUSTIPEN (China-US Theory Institute for Physics with Exotic Nuclei) funded by the US Department of Energy, Office of Science under Grant No. DE-SC0009971. We acknowledge the CINECA award under the ISCRA initiative through the INFN-CINECA agreement, for the availability of high performance computing resources and support, and the High-performance Computing Platform of Peking University for providing computational resources. G. De Gregorio acknowledges the support by the funding program “VALERE” of Università degli Studi della Campania “Luigi Vanvitelli”.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Fukui, T., Coraggio, L., De Gregorio, G. et al. Realistic Shell Model with Chiral Interaction and Its Application to Drip-Line Predictions. Few-Body Syst 62, 64 (2021). https://doi.org/10.1007/s00601-021-01655-8
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00601-021-01655-8