Nuclear Mass Model Based on Bayesian Estimate of Local Difference Experssions of Binding Energies
- Authors: Stopani K.A.1, Vladimirova E.V.2, Negrebetskiy V.V.2,3, Simonov M.V.2,3, Tretyakova T.Y.1,2
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Affiliations:
- Skobeltsyn Institute of Nuclear Physics, Moscow State University
- Faculty of Physics, Moscow State University
- Justus Liebig University
- Issue: Vol 86, No 4 (2023)
- Pages: 476-484
- Section: Articles
- URL: https://journals.rcsi.science/0044-0027/article/view/139746
- DOI: https://doi.org/10.31857/S0044002723040347
- EDN: https://elibrary.ru/EGCUUV
- ID: 139746
Cite item
Abstract
The Bayesian estimates of the value of the residual neutron–proton interaction energy Δnp using the Markov chain Monte Carlo method and Tikhonov regularization. These estimates are used for calculation of the nuclear mass table for A > 20. The accuracy of the obtained predictions is evaluated by comparison with experimental data from AME2020 and other theoretical nuclear mass models.
About the authors
K. A. Stopani
Skobeltsyn Institute of Nuclear Physics, Moscow State University
Email: kstopani@sinp.msu.ru
Moscow, Russia
E. V. Vladimirova
Faculty of Physics, Moscow State University
Email: kstopani@sinp.msu.ru
Moscow, Russia
V. V. Negrebetskiy
Faculty of Physics, Moscow State University; Justus Liebig University
Email: kstopani@sinp.msu.ru
Moscow, Russia; Giessen, Germany
M. V. Simonov
Faculty of Physics, Moscow State University; Justus Liebig University
Email: kstopani@sinp.msu.ru
Moscow, Russia; Giessen, Germany
T. Yu. Tretyakova
Skobeltsyn Institute of Nuclear Physics, Moscow State University; Faculty of Physics, Moscow State University
Author for correspondence.
Email: kstopani@sinp.msu.ru
Moscow, Russia; Moscow, Russia
References
- G. T. Garvey, W. J. Gerace, R. L. Jaffe, I. Talmi, and I. Kelson, Rev. Mod. Phys. 41, S1 (1969).
- С. Шапиро, С. Тьюколски, Чёрные дыры, белые карлики и нейтронные звёзды, ч. 1 (Мир, Москва, 1985).
- J. Jänecke and H. Behrens, Phys. Rev. C 9, 1276 (1974).
- J. Jänecke and P. J. Masson, At. Data Nucl. Data Tables 39, 265 (1988).
- P. J. Masson and J. Jänecke, At. Data Nucl. Data Tables 39, 273 (1988).
- Е. В. Владимирова, Б. С. Ишханов, М. В. Симонов, Т. Ю. Третьякова, Уч. записки физ. фак-та Моск. ун-та, 1930409 (2019).
- E. V. Vladimirova, B. S. Ishkhanov, M. V. Simonov, S. V. Sidorov, and T. Yu Tretyakova, Int. J. Mod. Phys. E 30, 2150025 (2021).
- E. V. Vladimirova, M. V. Simonov, and T. Yu. Tre- tyakova, AIP Conf. Proc. 2377, 070003 (2021).
- D. Lunney, J. M. Pearson, and C. Thibault, Rev. Mod. Phys. 75, 1021 (2003).
- Z. He, M. Bao, Y. M. Zhao, and A. Arima, Phys. Rev. C 90, 054320 (2014).
- J. L. Tian, N. Wang, C. Li, and J. J. Li, Phys. Rev. C 87, 014313 (2013).
- Y. Y. Cheng, Y. M. Zhao, and A. Arima, Phys. Rev. C 89, 061304 (2014).
- W. J. Huang, G. Audi, M. Wang, F. G. Kondev, S. Naimi, and X. Xu, Chin. Phys. C 41, 030002 (2017); M. Wang, G. Audi, F. G. Kondev, W. J. Huang, S. Naimi, and X. Xu, Chin. Phys. C 41, 030003 (2017).
- А. А. Боровков, Математическая статистика (Лань, Cанкт-Петербург, 2010).
- А. Н. Тихонов, Докл. Акад. Наук СССР 151, 501 (1963).
- A. Gelman, J. B. Carlin, H. S. Stern, D. B. Dun- son, A. Vehtari, and D. B. Rubin, Bayesian Data Analysis, 3rd ed. (New York, Chapman and Hall/CRC, 2013).
- R. M. Neal, Tech. Report CRG-TR-93-1 (University of Toronto, September 1993).
- W. J. Huang, M. Wang, F. G. Kondev, G. Audi, and S. Naimi, Chin. Phys. C 45, 030002 (2021); M. Wang, W. J. Huang, F. G. Kondev, G. Audi, and S. Naimi, Chin. Phys. C 45, 030003 (2021).
- P. Möller, A. J. Sierk, T. Ichikawa, and H. Sagawa, At. Data Nucl. Data Tables 109, 1 (2016).
- S. Goriely, N. Chamel, and J. M. Pearson, Phys. Rev. Lett. 102, 152503 (2009).
- A. Pastore, D. Neill, H. Powell, K. Medler, and C. Barton, Phys. Rev. C 101, 035804 (2020).
- J. Duflo and A. P. Zuker, Phys. Rev. C 52, R23 (1995).
- M. Shelley and A. Pastore, Universe 7, 131 (2021).
- L. Neufcourt, Y. Cao, W. Nazarewicz, and F. Viens, Phys. Rev. C 98, 034318 (2018).
- N.-N. Ma, H.-F. Zhang, X.-J. Bao, and H.-F. Zhang, Chin. Phys. C 43, 044105 (2019).
- A. Gration and M. I. Wilkinson, Mon. Not. Roy. Astron. Soc. 485, 4878 (2019).