- Open Access
Ab Initio Calculations of -Decay Half-Lives for Neutron-Rich Nuclei
Phys. Rev. Lett. 136, 182501 – Published 5 May, 2026
DOI: https://doi.org/10.1103/xjv9-t6sn
Abstract
-decay rates of extreme neutron-rich nuclei remain largely unknown experimentally, while they are critical inputs for -process nucleosynthesis. We present first ab initio calculations of total -decay half-lives, with a focus on nuclei. Starting from nuclear forces and currents based on chiral effective field theory, we use the in-medium similarity renormalization group to consistently derive valence-space Hamiltonians and weak operators, from which we calculate the nuclear states involved and the Gamow-Teller transition strengths, without phenomenological adjustments. In addition, we explore effects of first-forbidden contributions. Our results show that the inclusion of two-body currents increases the total half-lives, which then show good agreement with the existing experimental data, thereby validating the predictive capability of our approach.
Physics Subject Headings (PhySH)
Article Text
References (62)
- T. Kajino, W. Aoki, A. B. Balantekin, R. Diehl, M. A. Famiano, and G. J. Mathews, Current status of -process nucleosynthesis, Prog. Part. Nucl. Phys. 107, 109 (2019).
- J. J. Cowan, C. Sneden, J. E. Lawler, A. Aprahamian, M. Wiescher, K. Langanke, G. Martínez-Pinedo, and F.-K. Thielemann, Origin of the heaviest elements: The rapid neutron-capture process, Rev. Mod. Phys. 93, 015002 (2021).
- A. Arcones and F.-K. Thielemann, Origin of the elements, Astron. Astrophys. Rev. 31, 1 (2023).
- M. R. Mumpower, R. Surman, G. C. McLaughlin, and A. Aprahamian, The impact of individual nuclear properties on -process nucleosynthesis, Prog. Part. Nucl. Phys. 86, 86 (2016).
- J. Engel, M. Bender, J. Dobaczewski, W. Nazarewicz, and R. Surman, decay rates of -process waiting-point nuclei in a self-consistent approach, Phys. Rev. C 60, 014302 (1999).
- I. N. Borzov, Gamow-Teller and first-forbidden decays near the -process paths at , 82, and 126, Phys. Rev. C 67, 025802 (2003).
- P. Möller, B. Pfeiffer, and K.-L. Kratz, New calculations of gross -decay properties for astrophysical applications: Speeding-up the classical process, Phys. Rev. C 67, 055802 (2003).
- T. Marketin, D. Vretenar, and P. Ring, Calculation of -decay rates in a relativistic model with momentum-dependent self-energies, Phys. Rev. C 75, 024304 (2007).
- M. T. Mustonen and J. Engel, Global description of decay in even-even nuclei with the axially-deformed skyrme finite-amplitude method, Phys. Rev. C 93, 014304 (2016).
- T. Marketin, L. Huther, and G. Martínez-Pinedo, Large-scale evaluation of -decay rates of -process nuclei with the inclusion of first-forbidden transitions, Phys. Rev. C 93, 025805 (2016).
- E. M. Ney, J. Engel, T. Li, and N. Schunck, Global description of decay with the axially deformed skyrme finite-amplitude method: Extension to odd-mass and odd-odd nuclei, Phys. Rev. C 102, 034326 (2020).
- C. E. P. Robin and G. Martínez-Pinedo, Competition between allowed and first-forbidden decay in -process waiting-point nuclei within a relativistic beyond-mean-field approach, Phys. Rev. C 110, 065803 (2024).
- G. Martínez-Pinedo and K. Langanke, Shell-model half-lives for nuclei and their implications for the process, Phys. Rev. Lett. 83, 4502 (1999).
- J. Cuenca-García, G. Mart𝚤nez-Pinedo, K. Langanke, F. Nowacki, and I. Borzov, Shell model half-lives for -process nuclei, Eur. Phys. J. A 34, 99 (2007).
- T. Suzuki, T. Yoshida, T. Kajino, and T. Otsuka, decays of isotones with neutron magic number of and -process nucleosynthesis, Phys. Rev. C 85, 015802 (2012).
- Q. Zhi, E. Caurier, J. J. Cuenca-García, K. Langanke, G. Martínez-Pinedo, and K. Sieja, Shell-model half-lives including first-forbidden contributions for -process waiting-point nuclei, Phys. Rev. C 87, 025803 (2013).
- S. Yoshida, Y. Utsuno, N. Shimizu, and T. Otsuka, Systematic shell-model study of -decay properties and Gamow-Teller strength distributions in neutron-rich nuclei, Phys. Rev. C 97, 054321 (2018); 109, 029904(E) (2024).
- A. Kumar, N. Shimizu, Y. Utsuno, C. Yuan, and P. C. Srivastava, Large-scale shell model study of -decay properties of , 125 nuclei: Role of Gamow-Teller and first-forbidden transitions in the half-lives, Phys. Rev. C 109, 064319 (2024).
- E. Epelbaum, H.-W. Hammer, and U.-G. Meißner, Modern theory of nuclear forces, Rev. Mod. Phys. 81, 1773 (2009).
- R. Machleidt and D. Entem, Chiral effective field theory and nuclear forces, Phys. Rep. 503, 1 (2011).
- H. Hergert, A guided tour of ab initio nuclear many-body theory, Front. Phys. 8, 379 (2020).
- K. Hebeler, Three-nucleon forces: Implementation and applications to atomic nuclei and dense matter, Phys. Rep. 890, 1 (2021).
- P. Gysbers, G. Hagen, J. D. Holt, G. R. Jansen, T. D. Morris, P. Navrátil, T. Papenbrock, S. Quaglioni, A. Schwenk, S. R. Stroberg, and K. A. Wendt, Discrepancy between experimental and theoretical -decay rates resolved from first principles, Nat. Phys. 15, 428 (2019).
- K. Tsukiyama, S. K. Bogner, and A. Schwenk, In-medium similarity renormalization group for nuclei, Phys. Rev. Lett. 106, 222502 (2011).
- K. Tsukiyama, S. K. Bogner, and A. Schwenk, In-medium similarity renormalization group for open-shell nuclei, Phys. Rev. C 85, 061304(R) (2012).
- H. Hergert, S. K. Bogner, T. D. Morris, A. Schwenk, and K. Tsukiyama, The in-medium similarity renormalization group: A novel ab initio method for nuclei, Phys. Rep. 621, 165 (2016).
- S. R. Stroberg, A. Calci, H. Hergert, J. D. Holt, S. K. Bogner, R. Roth, and A. Schwenk, Nucleus-dependent valence-space approach to nuclear structure, Phys. Rev. Lett. 118, 032502 (2017).
- S. R. Stroberg, H. Hergert, S. K. Bogner, and J. D. Holt, Nonempirical interactions for the nuclear shell model: An update, Annu. Rev. Nucl. Part. Sci. 69, 307 (2019).
- P. T. Hosmer et al., Half-life of the doubly magic -process nucleus , Phys. Rev. Lett. 94, 112501 (2005).
- P. Hosmer et al., Half-lives and branchings for -delayed neutron emission for neutron-rich Co–Cu isotopes in the -process, Phys. Rev. C 82, 025806 (2010).
- Z. Y. Xu et al., -decay half-lives of , , and : Experimental indication of a doubly magic , Phys. Rev. Lett. 113, 032505 (2014).
- A. Tolosa-Delgado et al., Impact of newly measured -delayed neutron emitters around on light element nucleosynthesis in the neutrino wind following a neutron star merger, Phys. Rev. Lett. 134, 172701 (2025).
- J. Suhonen, From Nucleons to Nucleus: Concepts of Microscopic Nuclear Theory (Springer, Berlin, Heidelberg, 2007).
- J. C. Hardy and I. S. Towner, Superallowed nuclear decays: 2020 critical survey, with implications for and CKM unitarity, Phys. Rev. C 102, 045501 (2020).
- H. Behrens and W. Bühring, Nuclear beta decay, Nucl. Phys. A162, 111 (1971).
- H. Behrens and W. Bühring, Electron Radial Wave Functions and Nuclear Beta-Decay (Clarendon Press, Oxford, 1982).
- T.-S. Park, L. E. Marcucci, R. Schiavilla, M. Viviani, A. Kievsky, S. Rosati, K. Kubodera, D.-P. Min, and M. Rho, Parameter-free effective field theory calculation for the solar proton-fusion and hep processes, Phys. Rev. C 67, 055206 (2003).
- H. Krebs, E. Epelbaum, and U.-G. Meißner, Nuclear axial current operators to fourth order in chiral effective field theory, Ann. Phys. (Amsterdam) 378, 317 (2017).
- P. Klos, A. Carbone, K. Hebeler, J. Menendez, and A. Schwenk, Uncertainties in constraining low-energy constants from decay, Eur. Phys. J. A 53, 168 (2017); 54, 76(E) (2018).
- M. Hoferichter, J. Menéndez, and A. Schwenk, Coherent elastic neutrino-nucleus scattering: EFT analysis and nuclear responses, Phys. Rev. D 102, 074018 (2020).
- D. Gazit, S. Quaglioni, and P. Navrátil, Three-nucleon low-energy constants from the consistency of interactions and currents in chiral effective field theory, Phys. Rev. Lett. 103, 102502 (2009); 122, 029901(E) (2019).
- A. Baroni, R. Schiavilla, L. E. Marcucci, L. Girlanda, A. Kievsky, A. Lovato, S. Pastore, M. Piarulli, S. C. Pieper, M. Viviani, and R. B. Wiringa, Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term, Phys. Rev. C 98, 044003 (2018).
- K. Hebeler, S. K. Bogner, R. J. Furnstahl, A. Nogga, and A. Schwenk, Improved nuclear matter calculations from chiral low-momentum interactions, Phys. Rev. C 83, 031301(R) (2011).
- S. R. Stroberg, J. D. Holt, A. Schwenk, and J. Simonis, Ab initio limits of atomic nuclei, Phys. Rev. Lett. 126, 022501 (2021).
- W. G. Jiang, A. Ekström, C. Forssén, G. Hagen, G. R. Jansen, and T. Papenbrock, Accurate bulk properties of nuclei from to from potentials with isobars, Phys. Rev. C 102, 054301 (2020).
- T. Miyagi, S. R. Stroberg, P. Navrátil, K. Hebeler, and J. D. Holt, Converged ab initio calculations of heavy nuclei, Phys. Rev. C 105, 014302 (2022).
- T. Miyagi, nuhamil: A numerical code to generate nuclear two- and three-body matrix elements from chiral effective field theory, Eur. Phys. J. A 59, 150 (2023).
- G. Hagen, G. R. Jansen, and T. Papenbrock, Structure of from first-principles computations, Phys. Rev. Lett. 117, 172501 (2016).
- M. Heinz, T. Miyagi, S. R. Stroberg, A. Tichai, K. Hebeler, and A. Schwenk, Improved structure of calcium isotopes from ab initio calculations, Phys. Rev. C 111, 034311 (2025).
- T. Miyagi, S. R. Stroberg, J. D. Holt, and N. Shimizu, Ab initio multishell valence-space Hamiltonians and the island of inversion, Phys. Rev. C 102, 034320 (2020).
- T. D. Morris, N. M. Parzuchowski, and S. K. Bogner, Magnus expansion and in-medium similarity renormalization group, Phys. Rev. C 92, 034331 (2015).
- D. Gloeckner and R. Lawson, Spurious center-of-mass motion, Phys. Lett. B 53, 313 (1974).
- W. C. Haxton, K. M. Nollett, and K. M. Zurek, Piecewise moments method: Generalized Lanczos technique for nuclear response surfaces, Phys. Rev. C 72, 065501 (2005).
- E. Caurier, G. Martínez-Pinedo, F. Nowacki, A. Poves, and A. P. Zuker, The shell model as a unified view of nuclear structure, Rev. Mod. Phys. 77, 427 (2005).
- S. R. Stroberg, https://github.com/ragnarstroberg/imsrg.
- N. Shimizu, T. Mizusaki, Y. Utsuno, and Y. Tsunoda, Thick-restart block Lanczos method for large-scale shell-model calculations, Comput. Phys. Commun. 244, 372 (2019).
- R. Taniuchi et al., revealed as a doubly magic stronghold against nuclear deformation, Nature (London) 569, 53 (2019).
- A. Tichai, S. Knecht, A. Kruppa, Ö. Legeza, C. Moca, A. Schwenk, M. Werner, and G. Zarand, Combining the in-medium similarity renormalization group with the density matrix renormalization group: Shell structure and information entropy, Phys. Lett. B 845, 138139 (2023).
- National Nuclear Data Center, https://www.nndc.bnl.gov.
- M. Wang, W. Huang, F. Kondev, G. Audi, and S. Naimi, The AME 2020 atomic mass evaluation (II). Tables, graphs and references, Chin. Phys. C 45, 030003 (2021).
- J. Menéndez, D. Gazit, and A. Schwenk, Chiral two-body currents in nuclei: Gamow-teller transitions and neutrinoless double-beta decay, Phys. Rev. Lett. 107, 062501 (2011).
- Z. Li, T. Miyagi, and A. Schwenk, Data: Ab initio calculations of beta-decay half-lives for neutron-rich nuclei [Data set], Zenodo (2016), 10.5281/zenodo.19206529.