Back Article

I. A. Egorova, R. J. Charity, L. V. Grigorenko et al., Phys. Rev. Lett. 109, 202502 (2012)

M. Pfützner, M. Karny, L. V. Grigorenko et al., Rev. Mod. Phys. 84, 567 (2012)

F. Wamers, J. Marganiec, F. Aksouh et al., Phys. Rev. Lett. 112, 132502 (2014)

I. Mukha, K. Sümmerer, L. Acosta et al., Phys. Rev. Lett. 99, 182501 (2007)

K. W. Brown, R. J. Charity, L. G. Sobotka et al., Phys. Rev. Lett. 113, 232501 (2014)

Y. Jin, C. Y. Niu, K. W. Brown et al., Phys. Rev. Lett. 127, 262502 (2021)

K. Tshoo, Y. Satou, H. Bhang et al., Phys. Rev. Lett. 109(2), 022501 (2012)

A. Spyrou, Z. Kohley, T. Baumann et al., Phys. Rev. Lett. 108, 102501 (2012)

S. I. Sidorchuk, A. A. Bezbakh, V. Chudoba et al., Phys. Rev. Lett. 108, 202502 (2012)

P. Wady, J. Smith, E. Paul et al., Phys. Rev. C—Nucl. Phys. 85(3), 034329 (2012)

D. Hodge, D. Cullen, M. Taylor et al., Phys. Rev. C 94(3), 034321 (2016)

H. L. Tann, Excited states in the highly deformed proton emitter 131Eu, The University of Liverpool (United Kingdom), 2022

D. Seweryniak, B. Blank, M. Carpenter et al., Phys. Rev. Lett. 99(8), 082502 (2007)

T. Otsuka, A. Gade, O. Sorlin et al., Rev. Mod. Phys. 92, 015002 (2020)

D. Steppenbeck, S. Takeuchi, N. Aoi et al., Nature 502(7470), 207 (2013)

R. Taniuchi, C. Santamaria, P. Doornenbal et al., Nature 569(7754), 53 (2019)

K. Heyde and J. L. Wood, Rev. Mod. Phys. 83, 1467 (2011)

P. E. Garrett, M. Zielińska, E. Clément et al., Prog. Part. Nucl. Phys. 124, 103931 (2022)

M. G. Mayer, Phys. Rev. 75, 1969 (1949)

M. Hamermesh, Phys. Rev. 75, 1766 (1949)

T. Nikšić, D. Vretenar, and P. Ring, Prog. Part. Nucl. Phys. 66(3), 519 (2011)

P. Zhao, P. Ring, and J. Meng, Phys. Rev. C 94(4), 041301 (2016)

J. L. Egido, Phys. Scrip. 91(7), 073003 (2016)

J. Meng and P. Zhao, Relativistic density-functional theories, in: Handbook of Nuclear Physics (Springer, 2023) p. 2111

J.-P. Delaroche, M. Girod, J. Libert et al., Phys. Rev. C 81(1), 014303 (2010)

S. Quan, Q. Chen, Z. Li et al., Phys. Rev. C 95(5), 054321 (2017)

P. Ring and P. Schuck, The nuclear many-body problem (Springer Science & Business Media, 2004)

W.-B. He, Y.-G. Ma, L.-G. Pang et al., Nucl. Sci. Tech. 34(6), 88 (2023)

A. Boehnlein, M. Diefenthaler, N. Sato et al., Rev. Mod. Phys. 94(3), 031003 (2022)

W. He, Q. Li, Y. Ma et al., Sci. Chin. Phys. Mech. Astron. 66(8), 282001 (2023)

G. Aarts, K. Fukushima, T. Hatsuda et al., Nat. Rev. Phys. 7, 154 (2025)

N. J. Costiris, E. Mavrommatis, K. A. Gernoth et al., Phys. Rev. C 80, 044332 (2009)

Z. M. Niu, H. Z. Liang, B. H. Sun et al., Phys. Rev. C 99, 064307 (2019)

Y.-F. Gao, B.-S. Cai, and C.-X. Yuan, Nucl. Sci. Tech. 34(1), 9 (2023)

J. M. Munoz, S. Akkoyun, Z. P. Reyes et al., Phys. Rev. C 107(3), 034308 (2023)

A. Jalili, F. Pan, Y. Luo et al., Phys. Rev. C 111(3), 034321 (2025)

C.-Q. Li, C.-N. Tong, H.-J. Du et al., Phys. Rev. C 105(6), 064306 (2022)

N.-N. Ma, T.-L. Zhao, W.-X. Wang et al., Phys. Rev. C 107(1), 014310 (2023)

D. F. Rojas-Gamboa, N. G. Kelkar, and O. L. Caballero, Phys. Rev. C 110, 035804 (2024)

Z. Jin, M. Yan, H. Zhou et al., Phys. Rev. C 108, 014326 (2023)

H.-Q. You, R.-H. Wu, H.-Z. Su et al., Phys. Rev. C 110, 024319 (2024)

X.-X. Dong, R. An, J.-X. Lu et al., Phys. Lett. B 838, 137726 (2023)

X.-X. Dong, R. An, J.-X. Lu et al., Phys. Rev. C 105(1), 014308 (2022)

M. Mumpower, T. Sprouse, A. Lovell et al., Phys. Rev. C 106(2), L021301 (2022)

Z.-P. Gao, Y.-J. Wang, H.-L. Lü et al., Nucl. Sci. Tech. 32(10), 109 (2021)

Z.-X. Yang, X.-H. Fan, P. Yin et al., Phys. Lett. B 823, 136650 (2021)

X. H. Wu, Z. X. Ren, P. W. Zhao, Phys. Rev. C 105, L031303 (2022)

T.-S. Shang, J. Li, and Z.-M. Niu, Nucl Sci. Tech. 33(12), 153 (2022)

N. Hizawa, K. Hagino, and K. Yoshida, Phys. Rev. C 108, 034311 (2023)

Y. Wang and Q. Li, Front. Phys. 18(6), 64402 (2023)

Y. Wang, F. Li, Q. Li et al., Phys. Lett. B 822, 136669 (2021)

N. Cox, X. Grundler, and B.-A. Li, Phys. Rev. C 110, 044604 (2024)

W. Fan, G. Vujanovic, S. A. Bass et al., Phys. Rev. C 109, 064903 (2024)

S. Akkoyun, H. Kaya, and Y. Torun, Indian J. Phys. 96(6), 1791 (2022)

Y. Wang, X. Zhang, Z. Niu et al., Phys. Lett. B 830, 137154 (2022)

B. Lv, Z. Li, Y. Wang et al., Phys. Lett. B 857, 139013 (2024)

H. Liu, X.-X. Li, Y. Yuan et al., Nucl. Sci. Tech. 36(2), 21 (2025)

G. Ke, Q. Meng, T. Finley et al., in: Advances in Neural Information Processing Systems, Vol. 30, Curran Associates, Inc., 2017

W. J. Maddox, S. Stanton, and A. G. Wilson, Advances in Neural Information Processing Systems, vol. 34, p.6365 (2021)

F. Leibfried, V. Dutordoir, and S. John, arXiv: 2012.13962

National Nuclear Data Center, Brookhaven National Laboratory http://www.nndc.bnl.gov/.

P. Möller, A. J. Sierk, T. Ichikawa et al., Atom. Data Nucl. Data Tables 109, 1 (2016)

M. Liu, N. Wang, Y. Deng et al., Phys. Rev. C 84, 014333 (2011)

R. Casten, Nuclear structure from a simple perspective, Vol. 23 (Oxford university press, 2000)

S. M. Lundberg and S.-I. Lee, Advances in neural information processing systems, p30 (2017)

F. Emmert-Streib, O. Yli-Harja, and M. Dehmer, Wiley Interdisciplinary Reviews: Data Mining and Knowledge Discovery 10(6), e1368 (2020)

F. Xu, H. Uszkoreit, Y. Du et al., Explainable ai: A brief survey on history, research areas, approaches and challenges, in: Natural Language Processing and Chinese Computing: 8th CCF International Conference, NLPCC 2019, Dunhuang, China, October 9–14, 2019, Proceedings, Part II 8 (Springer, 2019), p. 563

A. Thampi, Interpretable AI: Building explainable machine learning systems (Simon and Schuster, 2022)

J. Feng, X. Gao, K. Xu et al., J. Hazardous Materials 490, 137787 (2025)

Z.-Y. Feng, J.-L. Tian, T. Wu et al., Nucl. Sci. Tech. 35(6), 93 (2024)

H. Wang, M. Yasuda, Y. Kondo et al., Phys. Lett. B 843, 138038 (2023)

Z. Elekes, V. Panin, T. Rodríguez et al., Phys. Lett. B 844, 138072 (2023)

R.-B. Gerst, A. Blazhev, K. Moschner et al., Phys. Rev. C 105(2), 024302 (2022)

K. Wimmer, P. Ruotsalainen, S. Lenzi et al., Phys. Lett. B 847, 138249 (2023)

B. Moon, W. Korten, K. Wimmer et al., Phys. Lett. B 858, 139047 (2024)

S. Chen, F. Browne, P. Doornenbal et al., Phys. Lett. B 843, 138025 (2023)

B. Monteagudo, F. M. Marqués, J. Gibelin et al., Phys. Rev. Lett. 132, 082501 (2024)

A. Fernández, A. Jungclaus, P. Doornenbal et al., Phys. Lett. B 823, 136784 (2021)

M. Cortés, W. Rodriguez, P. Doornenbal et al., Phys. Lett. B 800, 135071 (2020)

W. Urban, T. Rząca-Urban, A. G. Smith et al., Phys. Rev. C 102, 064321 (2020)

W. Q. Zhang, A. N. Andreyev, Z. Liu et al., Phys. Rev. C 106, 024317 (2022)

Supplemental Material for studying the yrast and yrare 2+ states using machine learning approaches.

B. Lv, Y. Wang, Z. Li et al., Phys. Rev. C 111(6), 064324 (2025)