Abstract
One of the key challenges in ab initio nuclear theory is to understand the emergence of nuclear structure from quantum chromodynamics. I will address this challenge and focus on the statistical aspects of uncertainty quantification and parameter estimation in chiral effective field theory.
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References
Beane, S.R., Detmold, W., Orginos, K., Savage, M.J.: Nuclear physics from lattice QCD. Prog. Part. Nucl. Phys. 66(1), 1–40 (2011)
Weinberg, Steven: Effective chiral Lagrangians for nucleon—pion interactions and nuclear forces. Nucl. Phys. B 363, 3–18 (1991)
Chang, C.C., Nicholson, A.N., Rinaldi, E., et al.: A per-cent-level determination of the nucleon axial coupling from quantum chromodynamics. Nat. Publ. Group 558(7708), 91–94 (2018)
Bedaque, P.F., Van Kolck, U.: Effective field theory for few-nucleon systems. Annu. Rev. Nucl. Part. Sci. 52(1), 339–396 (2002)
Epelbaum, E., Hammer, H.-W., Meißner, U.-G.: Modern theory of nuclear forces. Rev. Mod. Phys. 81, 1773–1825 (2009)
Machleidt, R., Entem, D.R.: Chiral effective field theory and nuclear forces. Phys. Rep. 503, 1–75 (2011)
Nogga, A., Timmermans, R.G.E., van Kolck, U.: Renormalization of one-pion exchange and power counting. Phys. Rev. C 72, 054006 (2005)
Phillips, D.R. Recent results in chiral effective field theory for the NN system. PoS CD12, 172 (2013)
Griehammer, H.W.: Assessing theory uncertainties in EFT power countings from residual cutoff dependence. PoS CD15, 104 (2016)
Epelbaum, E., Meissner, U.G.: on the renormalization of the one-pion exchange potential and the consistency of Weinberg‘s power counting. Few Body Syst. 54, 2175–2190 (2013)
Song, Y.-H., Lazauskas, R., van Kolck, U.: Triton binding energy and neutron-deuteron scattering up to next-to-leading order in chiral effective field theory. Phys. Rev. C 96, 024002 (2017)
Ekström, A., Baardsen, G., Forssén, C., et al.: Optimized chiral nucleon-nucleon interaction at next-to-next-to-leading order. Phys. Rev. Lett. 110(19), 192502 (2013)
Carlsson, B.D., Ekström, A., Forssén, C., et al.: Uncertainty analysis and order-by-order optimization of chiral nuclear interactions. Phys. Rev. X 6(1), 011019 (2016)
Reinert, P., Krebs, H., Epelbaum, E.: Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order. Eur. Phys. J. A 54(5), 86 (2018)
Schindler, M.R., Phillips, D.R.: Bayesian methods for parameter estimation in effective field theories. Ann. Phys. 324(3), 682–708 (2009)
Wesolowski, S., Klco, N., Furnstahl, R.J., Phillips, D.R., Thapaliya, A.: Bayesian parameter estimation for effective field theories. J. Phys. G: Nucl. Part. Phys. 43(7), 074001 (2016)
Dobaczewski, J., Nazarewicz, W., Reinhard, P.-G.: Error estimates of theoretical models: a guide. J. Phys. G: Nucl. Part. Phys. 41(7), 074001 (2014)
Furnstahl, R.J., Klco, N., Phillips, D.R., et al.: Quantifying truncation errors in effective field theory. Phys. Rev. C 92(2), 024005 (2015)
McDonnell, J.D., Schunck, N., Higdon, D., et al.: Uncertainty quantification for nuclear density functional theory and information content of new measurements. Phys. Rev. Lett. 114, 122501 (2015)
Vernon, I., Goldstein, M., Bower, R.G.: Galaxy formation: a Bayesian uncertainty analysis. Bayesian Anal. 5(4), 619–669 (2010)
Neufcourt, L., Cao, Y., Nazarewicz, W., et al.: Neutron drip line in the ca region from bayesian model averaging. Phys. Rev. Lett. 122, 062502 (2019)
Ekström, A., Carlsson, B.D., Wendt, K.A., et al.: Statistical uncertainties of a chiral interaction at next-to-next-to leading order. J. Phys. G: Nucl. Part. Phys. 42(3), 034003 (2015)
Pérez, RN., Amaro, J.E., Arriola, ER., Maris, P., Vary, J.P.: Statistical error propagation in ab initio no-core full configuration calculations of light nuclei. Phys. Rev. C 92, 064003 (2015)
Barrett, B.R., Navrátil, P., Vary, J.P.: Ab initio no core shell model. Prog. Part. Nucl. Phys. 69, 131–181 (2013)
Hagen, G., Papenbrock, T., Hjorth-Jensen, M., et al.: Coupled-cluster computations of atomic nuclei. Rept. Prog. Phys. 77(9), 096302 (2014)
Hergert, H., Bogner, S.K., Morris, T.D., et al.: The in-medium similarity renormalization group: a novel ab initio method for nuclei. Phys. Rept. 621, 165–222 (2016)
Lee, Dean: Lattice simulations for few and many-body systems. Prog. Part. Nucl. Phys. 63, 117–154 (2009)
Hagen, G., Ekström, A., Forssén, C., et al.: Neutron and weak-charge distributions of the \(^{48}\)ca nucleus. Nat. Phys. 12(2), 186–190 (2016)
Hagen, G., Jansen, G.R., Papenbrock, T.: Structure of \(^{78}\)Ni from first principles computations. Phys. Rev. Lett. 117(17), 172501 (2016)
Morris, T.D., Simonis, J., Stroberg, S.R., et al.: Structure of the lightest tin isotopes. Phys. Rev. Lett. 120, 152503 (2018)
Lapoux, V., Somà, V., Barbieri, C., et al.: Radii and binding energies in oxygen isotopes: achallenge for nuclear forces. Phys. Rev. Lett. 117, 052501 (2016)
Entem, D.R., Machleidt, R.: Accurate charge dependent nucleon nucleon potential at fourth order of chiral perturbation theory. Phys. Rev. C 68, 041001 (2003)
Wiringa, R.B., Stoks, V.G.J., Schiavilla, R.: An accurate nucleon-nucleon potential with charge independence breaking. Phys. Rev. C 51, 38–51 (1995)
Machleidt, R.: The high precision, charge dependent Bonn nucleon-nucleon potential (CD-Bonn). Phys. Rev. C 63, 024001 (2001)
Binder, S., Langhammer, J., Calci, A., et al.: Ab initio path to heavy nuclei. Phys. Lett. B 736(C), 119–123 (2014)
Ekström, A., Jansen, G.R., Wendt, K.A., et al.: Accurate nuclear radii and binding energies from a chiral interaction. Phys. Rev. C 91(5), 051301 (2015)
Drischler, C., Hebeler, K., Schwenk, A.: Chiral interactions up to next-to-next-to-next-to-leading order and nuclear saturation. Phys. Rev. Lett. 122, 042501 (2019)
Stump, D., Pumplin, J., Brock, R., et al.: Uncertainties of predictions from parton distribution functions. I. the lagrange multiplier method. Phys. Rev. D, 65(1), 014012 (2001)
Wesolowski, S., Furnstahl, R., Melendez, J.A., et al.: Exploring Bayesian parameter estimation for chiral effective field theory using nucleon-nucleon phase shifts. J. Phys. G: Nucl. Part. Phys. (2018)
Hernandez, O.J. Ekström, A., Dinur, N.N., et al.: The deuteron-radius puzzle is alive: a new analysis of nuclear structure uncertainties. Phys. Lett. B 778, 377–383 (2018)
Gazda, D., Catena, R., Forssén, C.: Ab initio nuclear response functions for dark matter searches. Phys. Rev. D 95, 103011 (2017)
Epelbaum, E., Krebs, H., Meißner, U.-G.: Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order. Eur. Phys. J. A 51(5), 53 (2015)
Cacciari, M., Houdeau, N.: Meaningful characterisation of perturbative theoretical uncertainties. J. High Energy Phys. 2011(9), 39 (2011)
Acharya, B., Ekström, A., Platter, Lucas: Effective-field-theory predictions of the muon-deuteron capture rate. Phys. Rev. C 98, 065506 (2018)
Hoferichter, M., de Elvira, J.R., Kubis, B., Meiner, U.-G.: Roysteiner-equation analysis of pionnucleon scattering. Phys. Rep. 625, 1–88 (2016)
Wild, S.M.: Solving derivative-free nonlinear least squares problems with POUNDERS. In: Terlaky, T., Anjos, M.F., Ahmed, S. (eds.) Advances and trends in optimization with engineering applications, pp. 529–540. SIAM (2017)
Hagen, G., et al.: Neutron and weak-charge distributions of the \(^{48}\)Ca nucleus. Nature Phys. 12(2), 186–190 (2015)
Ekström, A., Hagen, G., Morris, T.D., et al.: \(\Delta \) isobars and nuclear saturation. Phys. Rev. C 97(2), 024332 (2018)
Piarulli, M., Girlanda, L., Schiavilla, R., et al.: Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including \(\Delta \) resonances. Phys. Rev. C 91(2), 024003 (2015)
Piarulli, M., et al.: Light-nuclei spectra from chiral dynamics. Phys. Rev. Lett. 120(5), 052503 (2017)
Logoteta, D., Bombaci, I., Kievsky, A.: Nuclear matter properties from local chiral interactions with \(\rm \Delta \) isobar intermediate states. Phys. Rev. C 94, 064001 (2016)
van Kolck, U.: Few nucleon forces from chiral Lagrangians. Phys. Rev. C 49, 2932–2941 (1994)
Acknowledgements
I would like to thank all my collaborators for sharing their insights during our joint work on the range of topics presented here. This work has received funding from the European Research Council (ERC) under the European Unions Horizon 2020 research and innovation programme (Grant Agreement No. 758027) and the Swedish Research Council under Grant No. 2015-00225 and Marie Sklodowska Curie Actions, Cofund, Project INCA 600398.
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Ekström, A. (2020). Strong Interactions for Precision Nuclear Physics. In: Orr, N., Ploszajczak, M., Marqués, F., Carbonell, J. (eds) Recent Progress in Few-Body Physics. FB22 2018. Springer Proceedings in Physics, vol 238. Springer, Cham. https://doi.org/10.1007/978-3-030-32357-8_90
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DOI: https://doi.org/10.1007/978-3-030-32357-8_90
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