Skip to main content

Ab Initio Nuclear Reaction Theory with Applications to Astrophysics

  • Reference work entry
  • First Online:
Handbook of Nuclear Physics

Abstract

An introduction to ab initio nuclear theory with a focus on nuclear reactions is presented. After a high-level overview of ab initio approaches in nuclear physics, a more detailed description is given of the no-core shell model technique equivalent to a large extent to configuration-interaction methods applied in quantum chemistry. The no-core shell model with continuum approach that provides a quantum many-body description of nuclear reactions is then introduced. After a brief review of nuclear reactions important for astrophysics, examples of results of ab initio calculations of radiative capture and transfer reactions in light nuclei are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 1,699.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 1,699.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • T. Abe, P. Maris, T. Otsuka, N. Shimizu, Y. Utsuno, J.P. Vary, Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods. Phys. Rev. C 86, 054301 (2012)

    ADS  Google Scholar 

  • E.G. Adelberger, A. García, R.G. Hamish Robertson, K.A. Snover, A.B. Balantekin, K. Heeger, M.J. Ramsey-Musolf, D. Bemmerer, A. Junghans, C.A. Bertulani, J.-W. Chen, H. Costantini, P. Prati, M. Couder, E. Uberseder, M. Wiescher, R. Cyburt, B. Davids, S.J. Freedman, M. Gai, D. Gazit, L. Gialanella, G. Imbriani, U. Greife, M. Hass, W.C. Haxton, T. Itahashi, K. Kubodera, K. Langanke, D. Leitner, M. Leitner, P. Vetter, L. Winslow, L.E. Marcucci, T. Motobayashi, A. Mukhamedzhanov, R.E. Tribble, K.M. Nollett, F.M. Nunes, T.-S. Park, P.D. Parker, R. Schiavilla, E.C. Simpson, C. Spitaleri, F. Strieder, H.-P. Trautvetter, K. Suemmerer, S. Typel, Solar fusion cross sections. ii. the pp chain and CNO cycles. Rev. Mod. Phys. 83, 195–245 (2011)

    Google Scholar 

  • M. Asplund, D.L. Lambert, P.E. Nissen, F. Primas, V.V. Smith, Lithium isotopic abundances in metal-poor halo stars. Astrophys. J. 644(1), 229–259 (2006)

    ADS  Google Scholar 

  • J.N. Bahcall, A.M. Serenelli, S. Basu, New solar opacities, abundances, helioseismology, and neutrino fluxes. Astrophys. J. 621(1), L85–L88 (2005)

    ADS  Google Scholar 

  • S. Baroni, P. Navrátil, S. Quaglioni, Unified ab initio approach to bound and unbound states: no-core shell model with continuum and its application to 7He. Phys. Rev. C 87, 034326 (2013a)

    ADS  Google Scholar 

  • S. Baroni, P. Navrátil, S. Quaglioni, Ab initio description of the exotic unbound 7He nucleus. Phys. Rev. Lett. 110, 022505 (2013b)

    ADS  Google Scholar 

  • B.R. Barrett, P. Navrátil, J.P. Vary, Ab initio no core shell model. Progr. Particle Nucl. Phys. 69, 131–181 (2013)

    ADS  Google Scholar 

  • D. Bemmerer, F. Confortola, H. Costantini, A. Formicola, Gy. Gyürky, R. Bonetti, C. Broggini, P. Corvisiero, Z. Elekes, Zs. Fülöp, G. Gervino, A. Guglielmetti, C. Gustavino, G. Imbriani, M. Junker, M. Laubenstein, A. Lemut, B. Limata, V. Lozza, M. Marta, R. Menegazzo, P. Prati, V. Roca, C. Rolfs, C. Rossi Alvarez, E. Somorjai, O. Straniero, F. Strieder, F. Terrasi, H.P. Trautvetter, Activation measurement of the 3He(α, γ)7Be cross section at low energy. Phys. Rev. Lett. 97, 122502 (2006)

    Google Scholar 

  • C.A. Bertulani, P. Danielewicz, Introduction to Nuclear Reactions (Institute of Physics, 2004)

    Google Scholar 

  • S. Binder, J. Langhammer, A. Calci, P. Navrátil, R. Roth, Ab initio calculations of medium-mass nuclei with explicit chiral 3N interactions. Phys. Rev. C 87(2), 021303 (2013)

    Google Scholar 

  • G. Blüge, K. Langanke, Consistent microscopic study of the low-energy 5Li spectrum. Phys. Rev. C 41, 1191–1197 (1990)

    ADS  Google Scholar 

  • S.K. Bogner, R.J. Furnstahl, R.J. Perry, Similarity renormalization group for nucleon-nucleon interactions. Phys. Rev. C 75, 061001 (2007)

    ADS  Google Scholar 

  • C. Bordeanu, Gy. Gyürky, Z. Halász, T. Szücs, G.G. Kiss, Z. Elekes, J. Farkas, Zs. Fülöp, E. Somorjai, Activation measurement of the 3He(α,γ)7Be reaction cross section at high energies. Nucl. Phys. A 908, 1–11 (2013)

    Google Scholar 

  • R.N. Boyd, An Introduction to Nuclear Astrophysics (The University of Chicago Press, Chicago, 2008)

    Google Scholar 

  • R.N. Boyd, I. Tanihata, N. Inabe, T. Kubo, T. Nakagawa, T. Suzuki, M. Yonokura, X.X. Bai, K. Kimura, S. Kubono, S. Shimoura, H.S. Xu, D. Hirata, Measurement of the 8Li(α, n)11B reaction cross section at energies of astrophysical interest. Phys. Rev. Lett. 68, 1283–1286 (1992)

    ADS  Google Scholar 

  • C.R. Brune, R.W. Kavanagh, C. Rolfs, 3H(α, γ)7Li reaction at low energies. Phys. Rev. C 50, 2205–2218 (1994)

    Google Scholar 

  • R. Cayrel, M. Steffen, H. Chand, P. Bonifacio, M. Spite, F. Spite, P. Petitjean, H.-G. Ludwig, E. Caffau, Line shift, line asymmetry, and the 6Li/7Li isotopic ratio determination. A&A 473(3), L37–L40 (2007)

    ADS  Google Scholar 

  • A. Cipollone, C. Barbieri, P. Navrátil, Isotopic chains around oxygen from evolved chiral two- and three-nucleon interactions. Phys. Rev. Lett. 111(6), 062501 (2013)

    Google Scholar 

  • R.H. Cyburt, B.D. Fields, K.A. Olive, T.-H. Yeh, Big bang nucleosynthesis: present status. Rev. Mod. Phys. 88, 015004 (2016)

    ADS  Google Scholar 

  • A. Deltuva, A.C. Fonseca, Four-body calculation of proton-3He scattering. Phys. Rev. Lett. 98, 162502 (2007)

    ADS  Google Scholar 

  • P. Descouvemont, D. Baye, The R-matrix theory. Rep. Prog. Phys. 73, 036301 (2010)

    ADS  Google Scholar 

  • J. Dohet-Eraly, P. Navrátil, S. Quaglioni, W. Horiuchi, G. Hupin, F. Raimondi, 3He(α, γ)7Be and 3H(α, γ)7Li astrophysical S factors from the no-core shell model with continuum. Phys. Lett. B 757, 430–436 (2016)

    Google Scholar 

  • T. Dytrych, K.D. Launey, J.P. Draayer, D.J. Rowe, J.L. Wood, G. Rosensteel, C. Bahri, D. Langr, R.B. Baker, Physics of nuclei: key role of an emergent symmetry. Phys. Rev. Lett. 124, 042501 (2020)

    ADS  Google Scholar 

  • A. Ekström, G. Hagen, Global sensitivity analysis of bulk properties of an atomic nucleus. Phys. Rev. Lett. 123, 252501 (2019)

    ADS  Google Scholar 

  • S. Elhatisari, D. Lee, G. Rupak, E. Epelbaum, H. Krebs, T.A. Lahde, T. Luu, U.-G. Meissner, Ab initio alpha-alpha scattering. Nature 528, 111 (2015)

    ADS  Google Scholar 

  • D.R. Entem, R. Machleidt, Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory. Phys. Rev. C 68, 041001 (2003)

    ADS  Google Scholar 

  • D.R. Entem, R. Machleidt, Y. Nosyk, High-quality two-nucleon potentials up to fifth order of the chiral expansion. Phys. Rev. C 96, 024004 (2017)

    ADS  Google Scholar 

  • E. Epelbaum, A. Nogga, W. Glöckle, H. Kamada, U.-G. Meißner, H. Witała, Three-nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064001 (2002)

    ADS  Google Scholar 

  • E. Epelbaum, H. Krebs, T.A. Lähde, D. Lee, U.-G. Meißner, Structure and rotations of the Hoyle state. Phys. Rev. Lett. 109, 252501 (2012)

    ADS  Google Scholar 

  • B.W. Filippone, A.J. Elwyn, C.N. Davids, D.D. Koetke, Measurement of the 7Be(p, γ)8B reaction cross section at low energies. Phys. Rev. Lett. 50, 412–416 (1983)

    ADS  Google Scholar 

  • J.L. Friar, G.L. Payne, V.G.J. Stoks, J.J. de Swart, Triton calculations with the new Nijmegen potentials. Phys. Lett. B 311(1), 4–8 (1993)

    ADS  Google Scholar 

  • J. Görres, H. Herndl, I.J. Thompson, M. Wiescher, Two-neutron capture reactions in supernovae neutrino bubbles. Phys. Rev. C 52, 2231–2235 (1995)

    ADS  Google Scholar 

  • E. Gebrerufael, K. Vobig, H. Hergert, R. Roth, Ab initio description of open-shell nuclei: merging no-core shell model and in-medium similarity renormalization group. Phys. Rev. Lett. 118, 152503 (2017)

    ADS  Google Scholar 

  • A. Gezerlis, I. Tews, E. Epelbaum, M. Freunek, S. Gandolfi, K. Hebeler, A. Nogga, A. Schwenk, Local chiral effective field theory interactions and quantum Monte Carlo applications. Phys. Rev. C 90, 054323 (2014)

    ADS  Google Scholar 

  • L. Girlanda, A. Kievsky, M. Viviani, Subleading contributions to the three-nucleon contact interaction. Phys. Rev. C 84, 014001 (2011)

    ADS  Google Scholar 

  • D.H. Gloeckner, R.D. Lawson, Spurious center-of-mass motion. Phys. Lett. B 53(4), 313–318 (1974)

    ADS  Google Scholar 

  • P. Gysbers, G. Hagen, J.D. Holt, G.R. Jansen, T.D. Morris, P. Navrátil, T. Papenbrock, S. Quaglioni, A. Schwenk, S.R. Stroberg, K.A. Wendt, Discrepancy between experimental and theoretical β-decay rates resolved from first principles. Nat. Phys. 15(5), 428–431 (2019)

    Google Scholar 

  • T. Hüther, K. Vobig, K. Hebeler, R. Machleidt, R. Roth, Family of chiral two- plus three-nucleon interactions for accurate nuclear structure studies. Phys. Lett. B 808, 135651 (2020)

    Google Scholar 

  • G. Hagen, N. Michel, Elastic proton scattering of medium mass nuclei from coupled-cluster theory. Phys. Rev. C 86, 021602 (2012)

    ADS  Google Scholar 

  • G. Hagen, T. Papenbrock, M. Hjorth-Jensen, D.J. Dean, Coupled-cluster computations of atomic nuclei. Rep. Progr. Phys. 77(9), 096302 (2014)

    Google Scholar 

  • G.M. Hale, R.E. Brown, N. Jarmie, Pole structure of the jπ= 3∕2+ resonance in 5He. Phys. Rev. Lett. 59, 763–766 (1987)

    ADS  Google Scholar 

  • H. Hergert, S. Binder, A. Calci, J. Langhammer, R. Roth, Ab initio calculations of even oxygen isotopes with chiral two-plus-three-nucleon interactions. Phys. Rev. Lett. 110(24), 242501 (2013)

    Google Scholar 

  • M. Hesse, J.-M. Sparenberg, F. Van Raemdonck, D. Baye, Coupled-channel R-matrix method on a Lagrange mesh. Nucl. Phys. A 640(1), 37–51 (1998)

    ADS  Google Scholar 

  • F. Hoyle, On nuclear reactions occuring in very hot STARS. I. The synthesis of elements from carbon to nickel. Astrophys. J. Suppl. 1, 121 (1954)

    Google Scholar 

  • G. Hupin, J. Langhammer, P. Navrátil, S. Quaglioni, A. Calci, R. Roth, Ab initio many-body calculations of nucleon-4He scattering with three-nucleon forces. Phys. Rev. C 88(5), 054622 (2013)

    Google Scholar 

  • G. Hupin, S. Quaglioni, P. Navrátil, Ab initio predictions for polarized deuterium-tritium thermonuclear fusion. Nat. Commun. 10(1), 351 (2019)

    Google Scholar 

  • A.R. Junghans, E.C. Mohrmann, K.A. Snover, T.D. Steiger, E.G. Adelberger, J.M. Casandjian, H.E. Swanson, L. Buchmann, S.H. Park, A. Zyuzin, A.M. Laird, Precise measurement of the 7Be(p, γ)8B S factor. Phys. Rev. C 68, 065803 (2003)

    ADS  Google Scholar 

  • E.D. Jurgenson, P. Navrátil, R.J. Furnstahl, Evolution of nuclear many-body forces with the similarity renormalization group. Phys. Rev. Lett. 103, 082501 (2009)

    ADS  Google Scholar 

  • H. Kamada, A. Nogga, W. Glöckle, E. Hiyama, M. Kamimura, K. Varga, Y. Suzuki, M. Viviani, A. Kievsky, S. Rosati, J. Carlson, S.C. Pieper, R.B. Wiringa, P. Navrátil, B.R. Barrett, N. Barnea, W. Leidemann, G. Orlandini, Benchmark test calculation of a four-nucleon bound state. Phys. Rev. C 64, 044001 (2001)

    ADS  Google Scholar 

  • J.E. Kammeraad, J. Hall, K.E. Sale, C.A. Barnes, S.E. Kellogg, T.R. Wang, Measurement of the cross-section ratio 3H(d, γ)5He∕3H(d, α) n at 100 kev. Phys. Rev. C 47, 29–35 (1993)

    ADS  Google Scholar 

  • A. Kievsky, S. Rosati, M. Viviani, L.E. Marcucci, L. Girlanda, A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states. J. Phys. G: Nucl. Particle Phys. 35(6), 063101 (2008)

    Google Scholar 

  • K. Kravvaris, S. Quaglioni, G. Hupin, P. Navratil, Ab initio framework for nuclear scattering and reactions induced by light projectiles. 11 (2020)

    Google Scholar 

  • K. Kravvaris, P. Navrátil, S. Quaglioni, C. Hebborn, G. Hupin, Ab initio informed evaluation of the radiative capture of protons on 7Be (2022)

    Google Scholar 

  • R.M. Kulsrud, H.P. Furth, E.J. Valeo, M. Goldhaber, Fusion reactor plasmas with polarized nuclei. Phys. Rev. Lett. 49, 1248–1251 (1982)

    ADS  Google Scholar 

  • C. Lanczos, An iteration method for the solution of the eigenvalue problem of linear differential and integral operators. J. Res. Nat. Bureau Stand. 45, 255–282 (1950)

    MathSciNet  Google Scholar 

  • K.D. Launey, A. Mercenne, T. Dytrych, Nuclear dynamics and reactions in the ab initio symmetry-adapted framework. Annu. Rev. Nucl. Particle Sci. 71(1), 253–277 (2021)

    ADS  MATH  Google Scholar 

  • R. Lazauskas, Solution of the n −4He elastic scattering problem using the Faddeev-Yakubovsky equations. Phys. Rev. C 97, 044002 (2018)

    ADS  Google Scholar 

  • R. Lazauskas, J. Carbonell, Testing nonlocal nucleon-nucleon interactions in four-nucleon systems. Phys. Rev. C 70, 044002 (2004)

    ADS  Google Scholar 

  • J.E. Lynn, I. Tews, J. Carlson, S. Gandolfi, A. Gezerlis, K.E. Schmidt, A. Schwenk, Chiral three-nucleon interactions in light nuclei, neutron-α scattering, and neutron matter. 116(6), 062501 (2016)

    Google Scholar 

  • R. Machleidt, High-precision, charge-dependent Bonn nucleon-nucleon potential. Phys. Rev. C 63, 024001 (2001)

    ADS  Google Scholar 

  • P. Maris, E. Epelbaum, R.J. Furnstahl, J. Golak, K. Hebeler, T. Hüther, H. Kamada, H. Krebs, Ulf-G. Meißner, J.A. Melendez, A. Nogga, P. Reinert, R. Roth, R. Skibińński, V. Soloviov, K. Topolnicki, J.P. Vary, Yu. Volkotrub, H. Witała, T. Wolfgruber, Light nuclei with semilocal momentum-space regularized chiral interactions up to third order. Phys. Rev. C 103, 054001 (2021)

    Google Scholar 

  • C. McCracken, P. Navrátil, A. McCoy, S. Quaglioni, G. Hupin, Microscopic investigation of the 8Li(n, γ)9Li reaction. Phys. Rev. C 103, 035801 (2021)

    ADS  Google Scholar 

  • P. Navrátil, Local three-nucleon interaction from chiral effective field theory. Few-Body Syst. 41(3–4), 117–140 (2007)

    ADS  Google Scholar 

  • P. Navrátil, W.E. Ormand, Ab initio shell model calculations with three-body effective interactions for p-shell nuclei. Phys. Rev. Lett. 88, 152502 (2002)

    ADS  Google Scholar 

  • P. Navrátil, S. Quaglioni, Ab initio many-body calculations of the 3H(d, n)4He and 3He(d, p)4He fusion reactions. Phys. Rev. Lett. 108, 042503 (2012)

    ADS  Google Scholar 

  • P. Navrátil, J.P. Vary, B.R. Barrett, Large-basis ab initio no-core shell model and its application to 12C. Phys. Rev. C 62, 054311 (2000a)

    ADS  Google Scholar 

  • P. Navrátil, G.P. Kamuntavičius, B.R. Barrett, Few-nucleon systems in a translationally invariant harmonic oscillator basis. Phys. Rev. C 61, 044001 (2000b)

    ADS  Google Scholar 

  • P. Navrátil, J.P. Vary, B.R. Barrett, Properties of 12C in the ab initio nuclear shell model. Phys. Rev. Lett. 84, 5728–5731 (2000c)

    ADS  Google Scholar 

  • P. Navrátil, R. Roth, S. Quaglioni, Ab initio many-body calculation of the 7Be(p,γ)8B radiative capture. Phys. Lett. B 704(5), 379–383 (2011)

    ADS  Google Scholar 

  • P. Navrátil, S. Quaglioni, G. Hupin, C. Romero-Redondo, A. Calci, Unified ab initio approaches to nuclear structure and reactions. Phys. Scr. 91(5), 053002 (2016)

    Google Scholar 

  • T. Neff, Microscopic calculation of the 3He(α, γ)7Be and 3H(α, γ)7Li capture cross sections using realistic interactions. Phys. Rev. Lett. 106, 042502 (2011)

    ADS  Google Scholar 

  • K.M. Nollett, Radiative α-capture cross sections from realistic nucleon-nucleon interactions and variational Monte Carlo wave functions. Phys. Rev. C 63, 054002 (2001)

    ADS  Google Scholar 

  • K.M. Nollett, S.C. Pieper, R.B. Wiringa, J. Carlson, G.M. Hale, Quantum Monte Carlo calculations of neutron-α scattering. Phys. Rev. Lett. 99, 022502 (2007)

    ADS  Google Scholar 

  • C. Ordóñez, L. Ray, U. van Kolck, Nucleon-nucleon potential from an effective chiral Lagrangian. Phys. Rev. Lett. 72, 1982–1985 (1994)

    ADS  Google Scholar 

  • S.N. Paneru, C.R. Brune, R. Giri, R.J. Livesay, U. Greife, J.C. Blackmon, D.W. Bardayan, K.A. Chipps, B. Davids, D.S. Connolly, K.Y. Chae, A.E. Champagne, C. Deibel, K.L. Jones, M.S. Johnson, R.L. Kozub, Z. Ma, C.D. Nesaraja, S.D. Pain, F. Sarazin, J.F. Shriner, D.W. Stracener, M.S. Smith, J.S. Thomas, D.W. Visser, C. Wrede, S-wave scattering lengths for the 7Be + p system from an R-matrix analysis. Phys. Rev. C 99, 045807 (2019)

    ADS  Google Scholar 

  • S.C. Pieper, R.B. Wiringa, Quantum Monte Carlo calculations of light nuclei. Annu. Rev. Nucl. Particle Sci. 51(1), 53–90 (2001)

    ADS  Google Scholar 

  • S.C. Pieper, K. Varga, R.B. Wiringa, Quantum Monte Carlo calculations of A = 9,  10 nuclei. Phys. Rev. C 66, 044310 (2002)

    ADS  Google Scholar 

  • Planck Collaboration, P.A.R. Ade, N. Aghanim, M. Arnaud, M. Ashdown, J. Aumont, C. Baccigalupi, A.J. Banday, R.B. Barreiro, J.G. Bartlett, N. Bartolo, E. Battaner, R. Battye, K. Benabed, A. Benoît, A. Benoit-Lévy, J.-P. Bernard, M. Bersanelli, P. Bielewicz, J. J. Bock, A. Bonaldi, L. Bonavera, J.R. Bond, J. Borrill, F.R. Bouchet, F. Boulanger, M. Bucher, C. Burigana, R.C. Butler, E. Calabrese, J.-F. Cardoso, A. Catalano, A. Challinor, A. Chamballu, R.-R. Chary, H.C. Chiang, J. Chluba, P.R. Christensen, S. Church, D.L. Clements, S. Colombi, L.P.L. Colombo, C. Combet, A. Coulais, B.P. Crill, A. Curto, F. Cuttaia, L. Danese, R.D. Davies, R.J. Davis, P. de Bernardis, A. de Rosa, G. de Zotti, J. Delabrouille, F.-X. Désert, E. Di Valentino, C. Dickinson, J.M. Diego, K. Dolag, H. Dole, Donz. Planck 2015 results—XIII. Cosmological parameters. A&A 594, A13 (2016)

    Google Scholar 

  • S. Quaglioni, P. Navrátil, Ab initio many-body calculations of nucleon-nucleus scattering. Phys. Rev. C 79, 044606 (2009)

    ADS  Google Scholar 

  • S. Quaglioni, C. Romero-Redondo, P. Navrátil, G. Hupin, Three-cluster dynamics within the ab initio no-core shell model with continuum: how many-body correlations and α clustering shape 6He. Phys. Rev. C 97, 034332 (2018)

    ADS  Google Scholar 

  • R. Roth, Importance truncation for large-scale configuration interaction approaches. Phys. Rev. C 79, 064324 (2009)

    ADS  Google Scholar 

  • R. Roth, J. Langhammer, A. Calci, S. Binder, P. Navrátil, Similarity-transformed chiral NN+3N interactions for the ab initio description of 12C and 16O. Phys. Rev. Lett. 107(7), 072501 (2011)

    Google Scholar 

  • R. Roth, A. Calci, J. Langhammer, S. Binder, Evolved chiral NN+3N Hamiltonians for ab initio nuclear structure calculations. Phys. Rev. C 90(2), 024325 (2014)

    Google Scholar 

  • M.D. Schuster, S. Quaglioni, C.W. Johnson, E.D. Jurgenson, P. Navrátil, Operator evolution for ab initio electric dipole transitions of 4He. Phys. Rev. C 92(1), 014320 (2015)

    Google Scholar 

  • P.D. Serpico, S. Esposito, F. Iocco, G. Mangano, G. Miele, O. Pisanti, Nuclear reaction network for primordial nucleosynthesis: a detailed analysis of rates, uncertainties and light nuclei yields. J. Cosmol. Astroparticle Phys. 2004(12), 010 (2004)

    Google Scholar 

  • V. Somà, A. Cipollone, C. Barbieri, P. Navrátil, T. Duguet, Chiral two- and three-nucleon forces along medium-mass isotope chains. Phys. Rev. C 89, 061301 (2014)

    ADS  Google Scholar 

  • V. Somà, P. Navrátil, F. Raimondi, C. Barbieri, T. Duguet, Novel chiral Hamiltonian and observables in light and medium-mass nuclei. Phys. Rev. C 101, 014318 (2020)

    ADS  Google Scholar 

  • S.R. Stroberg, H. Hergert, S.K. Bogner, J.D. Holt, Nonempirical interactions for the nuclear shell model: an update. Annu. Rev. Nucl. Particle Sci. 69(1), 307–362 (2019)

    ADS  Google Scholar 

  • S.R. Stroberg, J.D. Holt, A. Schwenk, J. Simonis, Ab initio limits of atomic nuclei. Phys. Rev. Lett. 126, 022501 (2021)

    ADS  Google Scholar 

  • I.J. Thompson, F.M. Nunes, Nuclear Reactions for Astrophysics: Principles, Calculation and Applications of Low-Energy Reactions (Cambridge University Press, Cambridge, 2009)

    Google Scholar 

  • L. Trlifaj, Simple formula for the general oscillator brackets. Phys. Rev. C 5, 1534–1539 (1972)

    ADS  Google Scholar 

  • K. Tsukiyama, S.K. Bogner, A. Schwenk, In-medium similarity renormalization group for nuclei. Phys. Rev. Lett. 106, 222502 (2011)

    ADS  Google Scholar 

  • S. Weinberg, Phenomenological Lagrangians. Phys. A: Stat. Mech. Appl. 96(1–2), 327–340 (1979)

    Google Scholar 

  • S. Weinberg, Effective chiral Lagrangians for nucleon-pion interactions and nuclear forces. Nucl. Phys. B 363(1), 3–18 (1991)

    ADS  Google Scholar 

  • R.B. Wiringa, V.G.J. Stoks, R. Schiavilla, Accurate nucleon-nucleon potential with charge-independence breaking. Phys. Rev. C 51(1), 38–51 (1995)

    ADS  Google Scholar 

  • H. Witała, W. Glöckle, J. Golak, A. Nogga, H. Kamada, R. Skibiński, J. Kuroś-Żołnierczuk. Nd elastic scattering as a tool to probe properties of 3N forces. Phys. Rev. C 63, 024007 (2001)

    ADS  Google Scholar 

  • H. Yukawa, On the interaction of elementary particles. I. Proc. Phys.-Math. Soc. Jpn. 17, 48–57 (1935)

    MATH  Google Scholar 

  • P.D. Zecher, A. Galonsky, S.J. Gaff, J.J. Kruse, G. Kunde, E. Tryggestad, J. Wang, R.E. Warner, D.J. Morrissey, K. Ieki, Y. Iwata, F. Deák, Á. Horváth, Á. Kiss, Z. Seres, J.J. Kolata, J. von Schwarzenberg, H. Schelin, Measurement of the 8Li(n, γ)9Li cross section at astrophysical energies by reverse kinematics. Phys. Rev. C 57, 959–966 (1998)

    ADS  Google Scholar 

Download references

Acknowledgements

The authors thank all collaborators who contributed to the development of NCSMC method, in particular Guillaume Hupin, Kostas Kravvaris, Simone Baroni, Carolina Romero-Redondo, Jérémy Dohet-Eraly, and Angelo Calci. This work was supported by the NSERC Grants No. SAPIN-2016-00033 and SAPPJ-2019-00039 and by the US Department of Energy, Office of Science, Office of Nuclear Physics, under Work Proposal No. SCW0498. TRIUMF receives federal funding via a contribution agreement with the National Research Council of Canada. This work was prepared in part by LLNL under Contract No. DE-AC52-07NA27344. Computing support came from an INCITE Award on the Summit supercomputer of the Oak Ridge Leadership Computing Facility (OLCF) at ORNL, from the LLNL institutional Computing Grand Challenge Program, and from WestGrid and Compute Canada.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Petr Navrátil .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 Springer Nature Singapore Pte Ltd.

About this entry

Check for updates. Verify currency and authenticity via CrossMark

Cite this entry

Navrátil, P., Quaglioni, S. (2023). Ab Initio Nuclear Reaction Theory with Applications to Astrophysics. In: Tanihata, I., Toki, H., Kajino, T. (eds) Handbook of Nuclear Physics . Springer, Singapore. https://doi.org/10.1007/978-981-19-6345-2_7

Download citation

Publish with us

Policies and ethics