Local chiral potentials with Δ-intermediate states and the structure of light nuclei

Piarulli, M.; Girlanda, L.; Schiavilla, R.; Kievsky, A.; Lovato, A.; Marcucci, L. E.; Pieper, Steven C.; Viviani, M.; Wiringa, R. B.

doi:10.1103/PhysRevC.94.054007

Title: Local chiral potentials with $Δ$ -intermediate states and the structure of light nuclei

Journal Article · Mon Nov 28 00:00:00 EST 2016 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.94.054007· OSTI ID:1334251

Piarulli, M. ^[1]; Girlanda, L. ^[2]; Schiavilla, R. ^[3]; Kievsky, A. ^[4]; Lovato, A. ^[1]; Marcucci, L. E. ^[5]; Pieper, Steven C. ^[1]; Viviani, M. ^[4]; Wiringa, R. B. ^[1]

Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division
Univ. of Salento, Lecce (Italy). Dept. of Mathematics and Physics; National Inst. for Nuclear Physics (INFN), Lecce (Italy)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center; Old Dominion Univ., Norfolk, VA (United States). Dept. of Physics
National Inst. for Nuclear Physics (INFN), Pisa (Italy)
National Inst. for Nuclear Physics (INFN), Pisa (Italy); Univ. of Pisa (Italy). Dept. of Physics

In this paper, we present fully local versions of the minimally nonlocal nucleon-nucleon potentials constructed in a previous paper [Piarulli et al., Phys. Rev. C 91, 024003 (2015)], and use them in hypersperical harmonics and quantum Monte Carlo calculations of ground and excited states of $^3$H, $^3$He, $^4$He, $^6$He, and $^6$Li nuclei. The long-range part of these local potentials includes one- and two-pion exchange contributions without and with $$\Delta$$-isobars in the intermediate states up to order $Q^3$ ($$Q$$ denotes generically the low momentum scale) in the chiral expansion, while the short-range part consists of contact interactions up to order $Q^4$. The low-energy constants multiplying these contact interactions are fitted to the 2013 Granada database in two different ranges of laboratory energies, either 0–125 MeV or 0–200 MeV, and to the deuteron binding energy and $nn$ singlet scattering length. Fits to these data are performed for three models characterized by long- and short-range cutoffs, $$R_{\rm L}$$ and $$R_{\rm S}$$, respectively, ranging from $$(R_{\rm L},R_{\rm S})=(1.2,0.8)$$ fm down to $(0.8,0.6)$ fm. Finally, the long-range (short-range) cutoff regularizes the one- and two-pion exchange (contact) part of the potential.

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Research Organization:: Argonne National Lab. (ANL), Argonne, IL (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-06CH11357; AC05-06OR23177

OSTI ID:: 1334251

Alternate ID(s):: OSTI ID: 1333591

Report Number(s):: JLAB-THY-16-2246; DOE/OR/23177-3825; arXiv:1606.06335

Journal Information:: Physical Review C, Vol. 94, Issue 5; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 96 works

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References (101)

Ab initio Gorkov-Green's function calculations of open-shell nuclei Somà, V.; Barbieri, C.; Duguet, T. Physical Review C, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevC.87.011303	journal	January 2013
Chiral $2 π$ -exchange $NN$ potentials: Relativistic ${1 / M}^{2}$ corrections Kaiser, N. Physical Review C, Vol. 65, Issue 1 https://doi.org/10.1103/PhysRevC.65.017001	journal	December 2001
Quantum Monte Carlo calculations of nuclei with $A <~ 7$ Pudliner, B. S.; Pandharipande, V. R.; Carlson, J. Physical Review C, Vol. 56, Issue 4 https://doi.org/10.1103/PhysRevC.56.1720	journal	October 1997
Alpha particle structure Carlson, J. Physical Review C, Vol. 38, Issue 4 https://doi.org/10.1103/PhysRevC.38.1879	journal	October 1988
Ab initio no core shell model Barrett, Bruce R.; Navrátil, Petr; Vary, James P. Progress in Particle and Nuclear Physics, Vol. 69 https://doi.org/10.1016/j.ppnp.2012.10.003	journal	March 2013
Accurate nucleon-nucleon potential with charge-independence breaking Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R. Physical Review C, Vol. 51, Issue 1 https://doi.org/10.1103/PhysRevC.51.38	journal	January 1995
Structure of $p$ -shell nuclei using three-nucleon interactions evolved with the similarity renormalization group Jurgenson, E. D.; Maris, P.; Furnstahl, R. J. Physical Review C, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevC.87.054312	journal	May 2013
In-medium similarity renormalization group with chiral two- plus three-nucleon interactions Hergert, H.; Bogner, S. K.; Binder, S. Physical Review C, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevC.87.034307	journal	March 2013
Quantum Monte Carlo Calculations of Light Nuclei Using Chiral Potentials Lynn, J. E.; Carlson, J.; Epelbaum, E. Physical Review Letters, Vol. 113, Issue 19 https://doi.org/10.1103/PhysRevLett.113.192501	journal	November 2014
Phase shift analysis of 0 – 30 MeV pp scattering data Bergervoet, J. R.; van Campen, P. C.; van der Sanden, W. A. Physical Review C, Vol. 38, Issue 1 https://doi.org/10.1103/PhysRevC.38.15	journal	July 1988
High-Precision Calculation of the Triton Ground State Within the Hyperspherical-Harmonics Method Kievsky, A.; Marcucci, L. E.; Rosati, S. Few-Body Systems, Vol. 22, Issue 1 https://doi.org/10.1007/s006010050049	journal	February 1997
Local chiral effective field theory interactions and quantum Monte Carlo applications Gezerlis, A.; Tews, I.; Epelbaum, E. Physical Review C, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevC.90.054323	journal	November 2014
Colloquium : Three-body forces: From cold atoms to nuclei Hammer, Hans-Werner; Nogga, Andreas; Schwenk, Achim Reviews of Modern Physics, Vol. 85, Issue 1 https://doi.org/10.1103/RevModPhys.85.197	journal	January 2013
Deuteron polarizability shifts and the deuteron matter radius Martorell, J.; Sprung, D. W. L.; Zheng, D. C. Physical Review C, Vol. 51, Issue 3 https://doi.org/10.1103/PhysRevC.51.1127	journal	March 1995
Hydrogen-Deuterium $1 S - 2 S$ Isotope Shift and the Structure of the Deuteron Huber, A.; Udem, Th.; Gross, B. Physical Review Letters, Vol. 80, Issue 3 https://doi.org/10.1103/PhysRevLett.80.468	journal	January 1998
Measurement of the neutron-neutron scattering length using the $π^{-} d$ capture reaction Chen, Q.; Howell, C. R.; Carman, T. S. Physical Review C, Vol. 77, Issue 5 https://doi.org/10.1103/PhysRevC.77.054002	journal	May 2008
Green’s function Monte Carlo study of light nuclei Carlson, J. Physical Review C, Vol. 36, Issue 5 https://doi.org/10.1103/PhysRevC.36.2026	journal	November 1987
Chiral $3 π$ -exchange $NN$ potentials: Results for representation-invariant classes of diagrams Kaiser, N. Physical Review C, Vol. 61, Issue 1 https://doi.org/10.1103/PhysRevC.61.014003	journal	December 1999
Chiral $2 π$ exchange at fourth order and peripheral $NN$ scattering Entem, D. R.; Machleidt, R. Physical Review C, Vol. 66, Issue 1 https://doi.org/10.1103/PhysRevC.66.014002	journal	July 2002
Quantum Monte Carlo calculations of $A = 8$ nuclei Wiringa, R. B.; Pieper, Steven C.; Carlson, J. Physical Review C, Vol. 62, Issue 1 https://doi.org/10.1103/PhysRevC.62.014001	journal	June 2000
Realistic models of pion-exchange three-nucleon interactions Pieper, Steven C.; Pandharipande, V. R.; Wiringa, R. B. Physical Review C, Vol. 64, Issue 1 https://doi.org/10.1103/PhysRevC.64.014001	journal	June 2001
Precision Nucleon-Nucleon Potential at Fifth Order in the Chiral Expansion Epelbaum, E.; Krebs, H.; Meißner, U. -G. Physical Review Letters, Vol. 115, Issue 12 https://doi.org/10.1103/PhysRevLett.115.122301	journal	September 2015
The deuteron asymptotic D-state as a probe of the nucleon-nucleon force Ericson, T. E. O.; Rosa-Clot, M. Nuclear Physics A, Vol. 405, Issue 3 https://doi.org/10.1016/0375-9474(83)90516-X	journal	September 1983
Calculation of the $α$ -particle ground state within the hyperspherical harmonic basis Viviani, M.; Kievsky, A.; Rosati, S. Physical Review C, Vol. 71, Issue 2 https://doi.org/10.1103/PhysRevC.71.024006	journal	February 2005
Asymptotic D -state to S -state ratio of the deuteron Rodning, N. L.; Knutson, L. D. Physical Review C, Vol. 41, Issue 3 https://doi.org/10.1103/PhysRevC.41.898	journal	March 1990
Chiral $3 π$ -exchange $NN$ potentials: Results for dominant next-to-leading-order contributions Kaiser, N. Physical Review C, Vol. 63, Issue 4 https://doi.org/10.1103/PhysRevC.63.044010	journal	March 2001
Elastic pion-nucleon scattering in chiral perturbation theory: A fresh look Siemens, D.; Bernard, V.; Epelbaum, E. Physical Review C, Vol. 94, Issue 1 https://doi.org/10.1103/PhysRevC.94.014620	journal	July 2016
Dominant contributions to the nucleon-nucleon interaction at sixth order of chiral perturbation theory Entem, D. R.; Kaiser, N.; Machleidt, R. Physical Review C, Vol. 92, Issue 6 https://doi.org/10.1103/PhysRevC.92.064001	journal	December 2015
Construction of high-quality NN potential models Stoks, V. G. J.; Klomp, R. A. M.; Terheggen, C. P. F. Physical Review C, Vol. 49, Issue 6 https://doi.org/10.1103/PhysRevC.49.2950	journal	June 1994
Nuclear forces from chiral Lagrangians using the method of unitary transformation (I): Formalism Epelbaoum, E.; Glöckle, W.; Meißner, Ulf-G. Nuclear Physics A, Vol. 637, Issue 1 https://doi.org/10.1016/S0375-9474(98)00220-6	journal	July 1998
Chiral 3π-exchange $NN$ potentials: Results for diagrams proportional to $g_{A}^{4}$ and $g_{A}^{6}$ Kaiser, N. Physical Review C, Vol. 62, Issue 2 https://doi.org/10.1103/PhysRevC.62.024001	journal	June 2000
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory Entem, D. R.; Machleidt, R. Physical Review C, Vol. 68, Issue 4 https://doi.org/10.1103/PhysRevC.68.041001	journal	October 2003
Charge symmetry, quarks and mesons Miller, G. A.; Nefkens, B. M. K.; Šlaus, I. Physics Reports, Vol. 194, Issue 1-2 https://doi.org/10.1016/0370-1573(90)90102-8	journal	October 1990
Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory Entem, D. R.; Kaiser, N.; Machleidt, R. Physical Review C, Vol. 91, Issue 1 https://doi.org/10.1103/PhysRevC.91.014002	journal	January 2015
A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states Kievsky, A.; Rosati, S.; Viviani, M. Journal of Physics G: Nuclear and Particle Physics, Vol. 35, Issue 6 https://doi.org/10.1088/0954-3899/35/6/063101	journal	May 2008
$N − d$ elastic scattering using the hyperspherical harmonics approach with realistic local and nonlocal interactions Marcucci, L. E.; Kievsky, A.; Girlanda, L. Physical Review C, Vol. 80, Issue 3 https://doi.org/10.1103/PhysRevC.80.034003	journal	September 2009
Coupled-cluster computations of atomic nuclei Hagen, G.; Papenbrock, T.; Hjorth-Jensen, M. Reports on Progress in Physics, Vol. 77, Issue 9 https://doi.org/10.1088/0034-4885/77/9/096302	journal	September 2014
Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances Yao, De-Liang; Siemens, D.; Bernard, V. Journal of High Energy Physics, Vol. 2016, Issue 5 https://doi.org/10.1007/JHEP05(2016)038	journal	May 2016
Equation of State Calculations by Fast Computing Machines Metropolis, Nicholas; Rosenbluth, Arianna W.; Rosenbluth, Marshall N. The Journal of Chemical Physics, Vol. 21, Issue 6 https://doi.org/10.1063/1.1699114	journal	June 1953
Effective chiral lagrangians for nucleon-pion interactions and nuclear forces Weinberg, Steven Nuclear Physics B, Vol. 363, Issue 1 https://doi.org/10.1016/0550-3213(91)90231-L	journal	September 1991
Peripheral NN-scattering: role of delta-excitation, correlated two-pion and vector meson exchange Kaiser, N.; Gerstendörfer, S.; Weise, W. Nuclear Physics A, Vol. 637, Issue 3 https://doi.org/10.1016/S0375-9474(98)00234-6	journal	July 1998
Neutron Drops and Skyrme Energy-Density Functionals Pudliner, B. S.; Smerzi, A.; Carlson, J. Physical Review Letters, Vol. 76, Issue 14 https://doi.org/10.1103/PhysRevLett.76.2416	journal	April 1996
Three-nucleon interaction in 3-, 4- and ∞-body systems Carlson, J.; Pandharipande, V. R.; Wiringa, R. B. Nuclear Physics A, Vol. 401, Issue 1 https://doi.org/10.1016/0375-9474(83)90336-6	journal	May 1983
Statistical error analysis for phenomenological nucleon-nucleon potentials Navarro Pérez, R.; Amaro, J. E.; Ruiz Arriola, E. Physical Review C, Vol. 89, Issue 6 https://doi.org/10.1103/PhysRevC.89.064006	journal	June 2014
The two-nucleon system at next-to-next-to-next-to-leading order Epelbaum, E.; Glöckle, W.; Meißner, Ulf-G. Nuclear Physics A, Vol. 747, Issue 2-4 https://doi.org/10.1016/j.nuclphysa.2004.09.107	journal	January 2005
Proton- ³ He elastic scattering at low energies and the “ A _y Puzzle” Viviani, M.; Girlanda, L.; Kievsky, A. EPJ Web of Conferences, Vol. 3 https://doi.org/10.1051/epjconf/20100305011	journal	January 2010
Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including $Δ$ resonances Piarulli, M.; Girlanda, L.; Schiavilla, R. Physical Review C, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevC.91.024003	journal	February 2015
Three-body interactions among nucleons and pions Weinberg, Steven Physics Letters B, Vol. 295, Issue 1-2 https://doi.org/10.1016/0370-2693(92)90099-P	journal	November 1992
Coupled-cluster calculations of nucleonic matter Hagen, G.; Papenbrock, T.; Ekström, A. Physical Review C, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevC.89.014319	journal	January 2014
Improved description of the -scattering phenomenology at low energies in covariant baryon chiral perturbation theory Alarcón, J. M.; Martin Camalich, J.; Oller, J. A. Annals of Physics, Vol. 336 https://doi.org/10.1016/j.aop.2013.06.001	journal	September 2013
Chiral Three-Nucleon Interactions in Light Nuclei, Neutron- $α$ Scattering, and Neutron Matter Lynn, J. E.; Tews, I.; Carlson, J. Physical Review Letters, Vol. 116, Issue 6 https://doi.org/10.1103/PhysRevLett.116.062501	journal	February 2016
Nuclear forces from chiral lagrangians Weinberg, Steven Physics Letters B, Vol. 251, Issue 2 https://doi.org/10.1016/0370-2693(90)90938-3	journal	November 1990
Partial-wave analysis of all nucleon-nucleon scattering data below 350 MeV Stoks, V. G. J.; Klomp, R. A. M.; Rentmeester, M. C. M. Physical Review C, Vol. 48, Issue 2 https://doi.org/10.1103/PhysRevC.48.792	journal	August 1993
Chiral effective field theory and nuclear forces Machleidt, R.; Entem, D. R. Physics Reports, Vol. 503, Issue 1 https://doi.org/10.1016/j.physrep.2011.02.001	journal	June 2011
Neutron–Triton Elastic Scattering Viviani, M.; Kievsky, A.; Girlanda, L. Few-Body Systems, Vol. 45, Issue 2-4 https://doi.org/10.1007/s00601-009-0036-5	journal	February 2009
Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system Epelbaum, E.; Glöckle, W.; Meißner, Ulf-G. Nuclear Physics A, Vol. 671, Issue 1-4 https://doi.org/10.1016/S0375-9474(99)00821-0	journal	May 2000
Modern theory of nuclear forces Epelbaum, E.; Hammer, H. -W.; Meißner, Ulf-G. Reviews of Modern Physics, Vol. 81, Issue 4 https://doi.org/10.1103/RevModPhys.81.1773	journal	December 2009
Variational Calculation on A = 3 and 4 Nuclei with Non-Local Potentials Viviani, M.; Marcucci, L. E.; Rosati, S. Few-Body Systems, Vol. 39, Issue 3-4 https://doi.org/10.1007/s00601-006-0158-y	journal	July 2006
Nuclear energy density optimization Kortelainen, M.; Lesinski, T.; Moré, J. Physical Review C, Vol. 82, Issue 2 https://doi.org/10.1103/PhysRevC.82.024313	journal	August 2010
Variational calculations of few-body nuclei Wiringa, R. B. Physical Review C, Vol. 43, Issue 4 https://doi.org/10.1103/PhysRevC.43.1585	journal	April 1991
Bayesian parameter estimation for effective field theories Wesolowski, S.; Klco, N.; Furnstahl, R. J. Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 7 https://doi.org/10.1088/0954-3899/43/7/074001	journal	May 2016
Heavy-particle formalism with Foldy-Wouthuysen representation Long, Bingwei; Lensky, Vadim Physical Review C, Vol. 83, Issue 4 https://doi.org/10.1103/PhysRevC.83.045206	journal	April 2011
Self-consistent Green's function method for nuclei and nuclear matter Dickhoff, W. H.; Barbieri, C. Progress in Particle and Nuclear Physics, Vol. 52, Issue 2 https://doi.org/10.1016/j.ppnp.2004.02.038	journal	April 2004
Covariant spectator theory of $np$ scattering: Phase shifts obtained from precision fits to data below 350 MeV Gross, Franz; Stadler, Alfred Physical Review C, Vol. 78, Issue 1 https://doi.org/10.1103/PhysRevC.78.014005	journal	July 2008
Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order Epelbaum, E.; Krebs, H.; Meißner, U. -G. The European Physical Journal A, Vol. 51, Issue 5 https://doi.org/10.1140/epja/i2015-15053-8	journal	May 2015
Study of bound and scattering states in three-nucleon systems Kievsky, A.; Viviani, M.; Rosati, S. Nuclear Physics A, Vol. 577, Issue 3-4 https://doi.org/10.1016/0375-9474(94)90931-8	journal	September 1994
High-precision, charge-dependent Bonn nucleon-nucleon potential Machleidt, R. Physical Review C, Vol. 63, Issue 2 https://doi.org/10.1103/PhysRevC.63.024001	journal	January 2001
Accurate nuclear radii and binding energies from a chiral interaction Ekström, A.; Jansen, G. R.; Wendt, K. A. Physical Review C, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevC.91.051301	journal	May 2015
Electromagnetic structure of $A = 2$ and 3 nuclei in chiral effective field theory Piarulli, M.; Girlanda, L.; Marcucci, L. E. Physical Review C, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevC.87.014006	journal	January 2013
The Illinois Extension to the Fujita-Miyazawa Three-Nucleon Force Pieper, Steven C.; Sakai, Hideyuki; Sekiguchi, Kimiko POLARIZED ANTIPROTON BEAMS - HOW: An International Workshop, AIP Conference Proceedings https://doi.org/10.1063/1.2932280	conference	January 2008
Chiral $2 π$ -exchange $NN$ potentials: Two-loop contributions Kaiser, N. Physical Review C, Vol. 64, Issue 5 https://doi.org/10.1103/PhysRevC.64.057001	journal	October 2001
Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz Physical Review C, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevC.88.064002	journal	December 2013
Uncertainty Analysis and Order-by-Order Optimization of Chiral Nuclear Interactions Carlsson, B. D.; Ekström, A.; Forssén, C. Physical Review X, Vol. 6, Issue 1 https://doi.org/10.1103/PhysRevX.6.011019	journal	February 2016
Quantum Monte Carlo methods for nuclear physics Carlson, J.; Gandolfi, S.; Pederiva, F. Reviews of Modern Physics, Vol. 87, Issue 3 https://doi.org/10.1103/RevModPhys.87.1067	journal	September 2015
Peripheral nucleon-nucleon phase shifts and chiral symmetry Kaiser, N.; Brockmann, R.; Weise, W. Nuclear Physics A, Vol. 625, Issue 4 https://doi.org/10.1016/S0375-9474(97)00586-1	journal	November 1997
Coarse-grained NN potential with chiral two-pion exchange Navarro Pérez, R.; Amaro, J. E.; Arriola, E. Ruiz Physical Review C, Vol. 89, Issue 2 https://doi.org/10.1103/PhysRevC.89.024004	journal	February 2014
From low-momentum interactions to nuclear structure Bogner, S. K.; Furnstahl, R. J.; Schwenk, A. Progress in Particle and Nuclear Physics, Vol. 65, Issue 1 https://doi.org/10.1016/j.ppnp.2010.03.001	journal	July 2010
Signatures of three-nucleon interactions in few-nucleon systems Kalantar-Nayestanaki, N.; Epelbaum, E.; Messchendorp, J. G. Reports on Progress in Physics, Vol. 75, Issue 1 https://doi.org/10.1088/0034-4885/75/1/016301	journal	December 2011
Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions Gezerlis, A.; Tews, I.; Epelbaum, E. Physical Review Letters, Vol. 111, Issue 3 https://doi.org/10.1103/PhysRevLett.111.032501	journal	July 2013
Nuclear forces with Δ excitations up to next-to-next-to-leading order, part I: Peripheral nucleon-nucleon waves Krebs, H.; Epelbaum, E.; Meißner, U. -G. The European Physical Journal A, Vol. 32, Issue 2 https://doi.org/10.1140/epja/i2007-10372-y	journal	May 2007
Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV Gross, Franz; Stadler, Alfred arXiv https://doi.org/10.48550/arxiv.0802.1552	text	January 2008
Modern Theory of Nuclear Forces Epelbaum, Evgeny; Hammer, Hans-Werner; Meißner, Ulf-G. arXiv https://doi.org/10.48550/arxiv.0811.1338	text	January 2008
N-d Elastic Scattering Using the Hyperspherical Harmonics Approach with Realistic Local and Non-Local Interactions Marcucci, L. E.; Kievsky, A.; Girlanda, L. arXiv https://doi.org/10.48550/arxiv.0905.3306	text	January 2009
From low-momentum interactions to nuclear structure Bogner, S. K.; Furnstahl, R. J.; Schwenk, A. arXiv https://doi.org/10.48550/arxiv.0912.3688	text	January 2009
Chiral effective field theory and nuclear forces Machleidt, R.; Entem, D. R. arXiv https://doi.org/10.48550/arxiv.1105.2919	text	January 2011
Signatures of three-nucleon interactions in few-nucleon systems Kalantar-Nayestanaki, N.; Epelbaum, E.; Messchendorp, J. G. arXiv https://doi.org/10.48550/arxiv.1108.1227	text	January 2011
Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions Gezerlis, A.; Tews, I.; Epelbaum, E. arXiv https://doi.org/10.48550/arxiv.1303.6243	text	January 2013
Coupled-cluster computations of atomic nuclei Hagen, G.; Papenbrock, T.; Hjorth-Jensen, M. arXiv https://doi.org/10.48550/arxiv.1312.7872	text	January 2013
Quantum Monte Carlo Calculations of Light Nuclei Using Chiral Potentials Lynn, J. E.; Carlson, J.; Epelbaum, E. arXiv https://doi.org/10.48550/arxiv.1406.2787	text	January 2014
Precision nucleon-nucleon potential at fifth order in the chiral expansion Epelbaum, E.; Krebs, H.; Meißner, U. -G. arXiv https://doi.org/10.48550/arxiv.1412.4623	text	January 2014
Realistic models of pion-exchange three-nucleon interactions Pieper, Steven C.; Pandharipande, V. R.; Wiringa, R. B. arXiv https://doi.org/10.48550/arxiv.nucl-th/0102004	text	January 2001
Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory Entem, D. R.; Machleidt, R. arXiv https://doi.org/10.48550/arxiv.nucl-th/0304018	text	January 2003
Self-consistent Green's function method for nuclei and nuclear matter Dickhoff, W. H.; Barbieri, C. arXiv https://doi.org/10.48550/arxiv.nucl-th/0402034	text	January 2004
Variational Calculation on A=3 and 4 Nuclei with Non-Local Potentials Viviani, M.; Marcucci, L. E.; Rosati, S. arXiv https://doi.org/10.48550/arxiv.nucl-th/0512077	text	January 2005
Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves Krebs, Hermann; Epelbaum, Evgeny; Meißner, Ulf-G. arXiv https://doi.org/10.48550/arxiv.nucl-th/0703087	text	January 2007
An accurate nucleon-nucleon potential with charge-independence breaking Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R. arXiv https://doi.org/10.48550/arxiv.nucl-th/9408016	text	January 1994
Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry Kaiser, N.; Brockmann, R.; Weise, W. arXiv https://doi.org/10.48550/arxiv.nucl-th/9706045	text	January 1997
Study of bound and scattering states in three-nucleon systems Kievsky, A.; Viviani, M.; Rosati, S. arXiv https://doi.org/10.48550/arxiv.nucl-th/9706067	text	January 1997
Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism Epelbaoum, E.; Glöckle, W.; Meißner, Ulf-G. arXiv https://doi.org/10.48550/arxiv.nucl-th/9801064	text	January 1998
Peripheral NN-Scattering: Role of Delta-Excitation, Correlated Two-Pion and Vector Meson Exchange Kaiser, N.; Gerstendoerfer, S.; Weise, W. arXiv https://doi.org/10.48550/arxiv.nucl-th/9802071	text	January 1998
Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system Epelbaum, E.; Glöckle, W.; Meißner, Ulf-G. arXiv https://doi.org/10.48550/arxiv.nucl-th/9910064	text	January 1999

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Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order Reinert, P.; Krebs, H.; Epelbaum, E. The European Physical Journal A, Vol. 54, Issue 5 https://doi.org/10.1140/epja/i2018-12516-4	journal	May 2018
Impact of chiral hyperonic three-body forces on neutron stars Logoteta, Domenico; Vidaña, Isaac; Bombaci, Ignazio The European Physical Journal A, Vol. 55, Issue 11 https://doi.org/10.1140/epja/i2019-12909-9	journal	November 2019
Investigations of the few-nucleon systems within the LENPIC project Golak, Jacek; Epelbaum, Evgeny; Grassi, Alessandro SciPost Physics Proceedings, Issue 3 https://doi.org/10.21468/scipostphysproc.3.002	journal	January 2020
Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory Piarulli, Maria; Tews, Ingo Frontiers in Physics, Vol. 7 https://doi.org/10.3389/fphy.2019.00245	journal	January 2020
Perturbation Theory of Nuclear Matter with a Microscopic Effective Interaction Benhar, Omar; Lovato, Alessandro arXiv https://doi.org/10.48550/arxiv.1706.00760	text	January 2017
Quantified Gamow Shell Model interaction for $psd$-shell nuclei Jaganathen, Y.; Betan, R. M. Id; Michel, N. arXiv https://doi.org/10.48550/arxiv.1710.04727	text	January 2017
Historical perspective and future prospects for nuclear interactions Machleidt, R. arXiv https://doi.org/10.48550/arxiv.1710.07215	text	January 2017
Microscopically-based energy density functionals for nuclei using the density matrix expansion: Full optimization and validation Perez, R. Navarro; Schunck, N.; Dyhdalo, A. arXiv https://doi.org/10.48550/arxiv.1801.08615	text	January 2018
A new leading contribution to neutrinoless double-beta decay Cirigliano, V.; Dekens, W.; de Vries, J. arXiv https://doi.org/10.48550/arxiv.1802.10097	text	January 2018
Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces Epelbaum, E.; Golak, J.; Hebeler, K. arXiv https://doi.org/10.48550/arxiv.1807.02848	text	January 2018
Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory Piarulli, Maria; Tews, Ingo arXiv https://doi.org/10.48550/arxiv.2002.00032	text	January 2020

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Title: Local chiral potentials with $Δ$ -intermediate states and the structure of light nuclei