Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including Δ resonances

Piarulli, M.; Girlanda, L.; Schiavilla, R.; Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz

doi:10.1103/PhysRevC.91.024003

Title: Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including $Δ$ resonances

Journal Article · Thu Feb 26 00:00:00 EST 2015 · Physical Review C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.91.024003· OSTI ID:1171326

Piarulli, M. ^[1]; Girlanda, L. ^[2]; Schiavilla, R. ^[3]; Pérez, R. Navarro ^[4]; Amaro, J. E. ^[4]; Arriola, E. Ruiz ^[4]

Old Dominion Univ., Norfolk, VA (United States)
Univ. of Salento, Lecce (Italy); INFN-Leece, Leece (Italy)
Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Univ. de Granada, Granada (Spain)

In this study, we construct a coordinate-space chiral potential, including Δ-isobar intermediate states in its two-pion-exchange component up to order Q³ (Q denotes generically the low momentum scale). The contact interactions entering at next-to-leading and next-to-next-to-next-to-leading orders (Q² and Q⁴, respectively) are rearranged by Fierz transformations to yield terms at most quadratic in the relative momentum operator of the two nucleons. The low-energy constant multiplying these contact interactions are fitted to the 2013 Granada database, consisting of 2309 pp and 2982 np data (including, respectively, 148 and 218 normalizations) in the laboratory-energy range 0–300 MeV. For the total 5291 $pp$ and $np$ data in this range, we obtain a Χ² /datum of roughly 1.3 for a set of three models characterized by long- and short-range cutoffs, R_L and R_S respectively, ranging from (R_L,R_S)=(1.2,0.8) fm down to (0.8,0.6) fm. The long-range (short-range) cutoff regularizes the one- and two-pion exchange (contact) part of the potential.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1171326

Alternate ID(s):: OSTI ID: 1181373

Report Number(s):: JLAB-THY-14-1993; DOE/OR/23177-3257; arXiv:1412.6446; PRVCAN; ArticleNumber: 024003

Journal Information:: Physical Review C, Nuclear Physics, Vol. 91, Issue 2; ISSN 0556-2813

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 141 works

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References (77)

Phase-Shift Analysis of 310-Mev Proton-Proton Scattering Experiments Stapp, H. P.; Ypsilantis, T. J.; Metropolis, N. Physical Review, Vol. 105, Issue 1 https://doi.org/10.1103/PhysRev.105.302	journal	January 1957
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
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
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
Chiral Two-Pion Exchange and Proton-Proton Partial-Wave Analysis Rentmeester, M. C. M.; Timmermans, R. G. E.; Friar, J. L. Physical Review Letters, Vol. 82, Issue 25 https://doi.org/10.1103/PhysRevLett.82.4992	journal	June 1999
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
Determination of the chiral coupling constants $c_{3}$ and $c_{4}$ in new $pp$ and $np$ partial-wave analyses Rentmeester, M. C. M.; Timmermans, R. G. E.; de Swart, J. J. Physical Review C, Vol. 67, Issue 4 https://doi.org/10.1103/PhysRevC.67.044001	journal	April 2003
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
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
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
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
Inverse Problems in Quantum Scattering Theory Chadan, K.; Sabatier, P. C.; Newton, R. G. Theoretical and Mathematical Physics (TMP) https://doi.org/10.1007/978-3-642-83317-5	book	January 1989
Single- and coupled-channel radial inverse scattering with supersymmetric transformations Baye, Daniel; Sparenberg, Jean-Marc; Pupasov-Maksimov, Andrey M. Journal of Physics A: Mathematical and Theoretical, Vol. 47, Issue 24 https://doi.org/10.1088/1751-8113/47/24/243001	journal	June 2014
Towards a model-independent low momentum nucleon–nucleon interaction Bogner, S. K.; Kuo, T. T. S.; Schwenk, A. Physics Letters B, Vol. 576, Issue 3-4 https://doi.org/10.1016/j.physletb.2003.10.012	journal	December 2003
Model-independent low momentum nucleon interaction from phase shift equivalence Bogner, S. K.; Kuo, T. T. S.; Schwenk, A. Physics Reports, Vol. 386, Issue 1 https://doi.org/10.1016/j.physrep.2003.07.001	journal	October 2003
Implicit and explicit renormalization: Two complementary views of effective interactions Ruiz Arriola, E.; Szpigel, S.; Timóteo, V. S. Annals of Physics, Vol. 353 https://doi.org/10.1016/j.aop.2014.11.010	journal	February 2015
Nuclear Force and Nuclear Physics from Lattice Quantum Chromodynamics Hatsuda, Tetsuo Journal of Physics: Conference Series, Vol. 381 https://doi.org/10.1088/1742-6596/381/1/012020	journal	September 2012
Determination of the NN π coupling constants in NN partial-wave analyses Klomp, R. A. M.; Stoks, V. G. J.; de Swart, J. J. Physical Review C, Vol. 44, Issue 4 https://doi.org/10.1103/PhysRevC.44.R1258	journal	October 1991
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
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
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
Electromagnetic two-body currents of one- and two-pion range Pastore, S.; Schiavilla, R.; Goity, J. L. Physical Review C, Vol. 78, Issue 6 https://doi.org/10.1103/PhysRevC.78.064002	journal	December 2008
Effects of Δ-isobar degrees of freedom on low-energy electroweak transitions in few-body nuclei Schiavilla, R.; Wiringa, R. B.; Pandharipande, V. R. Physical Review C, Vol. 45, Issue 6 https://doi.org/10.1103/PhysRevC.45.2628	journal	June 1992
Theoretical study of the radiative capture reactions ${}^{2}H$ ( n ,γ $)^{3}$ H and ${}^{2}H$ ( p ,γ $)^{3}$ He at low energies Viviani, M.; Schiavilla, R.; Kievsky, A. Physical Review C, Vol. 54, Issue 2 https://doi.org/10.1103/PhysRevC.54.534	journal	August 1996
Thermal Neutron Captures on $d$ and ${}^{3}{He}$ Girlanda, L.; Kievsky, A.; Marcucci, L. E. Physical Review Letters, Vol. 105, Issue 23 https://doi.org/10.1103/PhysRevLett.105.232502	journal	November 2010
Weak proton capture on $^{3} He$ Marcucci, L. E.; Schiavilla, R.; Viviani, M. Physical Review C, Vol. 63, Issue 1 https://doi.org/10.1103/PhysRevC.63.015801	journal	December 2000
Formalism of nucleon-nucleon elastic scattering experiments Bystricky, J.; Lehar, F.; Winternitz, P. Journal de Physique, Vol. 39, Issue 1 https://doi.org/10.1051/jphys:019780039010100	journal	January 1978
Nucleon-nucleon phase shift analysis Bystricky, J.; Lechanoine-Leluc, C.; Lehar, F. Journal de Physique, Vol. 48, Issue 2 https://doi.org/10.1051/jphys:01987004802019900	journal	January 1987
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
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
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
Bootstrapping the statistical uncertainties of NN scattering data Navarro Pérez, R.; Amaro, J. E.; Ruiz Arriola, E. Physics Letters B, Vol. 738 https://doi.org/10.1016/j.physletb.2014.09.035	journal	November 2014
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
Electromagnetic currents and magnetic moments in chiral effective field theory $(χ EFT)$ Pastore, S.; Girlanda, L.; Schiavilla, R. Physical Review C, Vol. 80, Issue 3 https://doi.org/10.1103/PhysRevC.80.034004	journal	September 2009
Chiral effective field theory analysis of hadronic parity violation in few-nucleon systems Viviani, M.; Baroni, A.; Girlanda, L. Physical Review C, Vol. 89, Issue 6 https://doi.org/10.1103/PhysRevC.89.064004	journal	June 2014
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
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
Improving the convergence of the chiral expansion for nuclear forces - I: Peripheral phases Epelbaum, E.; Glöckle, W.; Meißner, U. -G. The European Physical Journal A, Vol. 19, Issue 1 https://doi.org/10.1140/epja/i2003-10096-0	journal	January 2004
Nucleon resonance in nuclei Green, A. M. Reports on Progress in Physics, Vol. 39, Issue 12 https://doi.org/10.1088/0034-4885/39/12/001	journal	December 1976
The Chiral Effective Pion-Nucleon Lagrangian of Order p4 Fettes, Nadia; Meißner, Ulf-G.; Mojžiš, Martin Annals of Physics, Vol. 283, Issue 2 https://doi.org/10.1006/aphy.2000.6059	journal	August 2000
Renormalization of chiral two-pion exchange $NN$ interactions with Δ excitations: Central phases and the deuteron Valderrama, M. Pavón; Arriola, E. Ruiz Physical Review C, Vol. 79, Issue 4 https://doi.org/10.1103/PhysRevC.79.044001	journal	April 2009
Renormalization of chiral two-pion exchange $NN$ interactions with $Δ$ excitations: Correlations in the partial-wave expansion Pavon Valderrama, M.; Ruiz Arriola, E. Physical Review C, Vol. 83, Issue 4 https://doi.org/10.1103/PhysRevC.83.044002	journal	April 2011
Nucleon-mass difference in chiral perturbation theory and nuclear forces Friar, J. L.; van Kolck, U.; Rentmeester, M. C. M. Physical Review C, Vol. 70, Issue 4 https://doi.org/10.1103/PhysRevC.70.044001	journal	October 2004
Isospin-violating nucleon-nucleon forces using the method of unitary transformation Epelbaum, E.; Meißner, Ulf-G. Physical Review C, Vol. 72, Issue 4 https://doi.org/10.1103/PhysRevC.72.044001	journal	October 2005
Electromagnetic Corrections to the One-Pion-Exchange Potential van Kolck, U.; Rentmeester, M. C. M.; Friar, J. L. Physical Review Letters, Vol. 80, Issue 20 https://doi.org/10.1103/PhysRevLett.80.4386	journal	May 1998
Pion-photon exchange nucleon-nucleon potentials Kaiser, N. Physical Review C, Vol. 73, Issue 4 https://doi.org/10.1103/PhysRevC.73.044001	journal	April 2006
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
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
Magnetic moment interaction in nucleon-nucleon phase-shift analyses Stoks, V. G. J.; de Swart, J. J. Physical Review C, Vol. 42, Issue 4 https://doi.org/10.1103/PhysRevC.42.1235	journal	October 1990
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
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
Neutron-deuteron breakup experiment at $E_{n} = 13 MeV$ : Determination of the $^{1} S_{0}$ neutron-neutron scattering length $a_{nn}$ Gonzalez Trotter, D. E.; Meneses, F. Salinas; Tornow, W. Physical Review C, Vol. 73, Issue 3 https://doi.org/10.1103/PhysRevC.73.034001	journal	March 2006
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
The deuteron binding energy Van Der Leun, C.; Alderliesten, C. Nuclear Physics A, Vol. 380, Issue 2 https://doi.org/10.1016/0375-9474(82)90105-1	journal	May 1982
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
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
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
Quadrupole moment of the deuteron from a precise calculation of the electric field gradient in $D_{2}$ Bishop, David M.; Cheung, Lap M. Physical Review A, Vol. 20, Issue 2 https://doi.org/10.1103/PhysRevA.20.381	journal	August 1979
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
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
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
Proton-Proton Effective-Range Theory with Vacuum Polarization Heller, Leon Physical Review, Vol. 120, Issue 2 https://doi.org/10.1103/PhysRev.120.627	journal	October 1960
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
Chiral effective field theory and nuclear forces Machleidt, R.; Entem, D. R. arXiv https://doi.org/10.48550/arxiv.1105.2919	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
Single- and coupled-channel radial inverse scattering with supersymmetric transformations Baye, Daniel; Sparenberg, Jean-Marc; Pupasov-Maksimov, Andrey M. arXiv https://doi.org/10.48550/arxiv.1401.0439	text	January 2014
The chiral effective pion-nucleon Lagrangian of order p^4 Fettes, Nadia; Meißner, Ulf-G.; Mojzis, Martin arXiv https://doi.org/10.48550/arxiv.hep-ph/0001308	text	January 2000
Weak proton capture on 3He Marcucci, L. E.; Schiavilla, R.; Viviani, M. arXiv https://doi.org/10.48550/arxiv.nucl-th/0006005	text	January 2000
Towards a Model-Independent Low Momentum Nucleon-Nucleon Interaction Bogner, S. K.; Kuo, T. T. S.; Schwenk, A. arXiv https://doi.org/10.48550/arxiv.nucl-th/0108041	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
Improving the convergence of the chiral expansion for nuclear forces I: Peripheral phases Epelbaum, Evgeny; Glöckle, Walter; Meißner, Ulf-G. arXiv https://doi.org/10.48550/arxiv.nucl-th/0304037	text	January 2003
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
Electromagnetic Corrections to the One-Pion-Exchange Potential van Kolck, U.; Rentmeester, M. C. M.; Friar, J. L. arXiv https://doi.org/10.48550/arxiv.nucl-th/9710067	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

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Schiavilla, R.; Girlanda, L.; Gnech, A.; +5 more

Local chiral potentials with

Δ

-intermediate states and the structure of light nuclei

Journal Article · Tue Nov 01 00:00:00 EDT 2016 · Physical Review C · OSTI ID:1171326

Piarulli, M.; Girlanda, L.; Schiavilla, R.; +6 more

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Title: Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including Δ resonances

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Title: Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including $Δ$ resonances