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

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.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1171326

Alternate ID(s):: OSTI ID: 1181373

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

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

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions Lonardoni, D.; Gandolfi, S.; Lynn, J. E. Physical Review C, Vol. 97, Issue 4 https://doi.org/10.1103/physrevc.97.044318	journal	April 2018
Microscopically based energy density functionals for nuclei using the density matrix expansion. II. Full optimization and validation Navarro Pérez, R.; Schunck, N.; Dyhdalo, A. Physical Review C, Vol. 97, Issue 5 https://doi.org/10.1103/physrevc.97.054304	journal	May 2018
Few-nucleon and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces Binder, S.; Calci, A.; Epelbaum, E. Physical Review C, Vol. 98, Issue 1 https://doi.org/10.1103/physrevc.98.014002	journal	July 2018
Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term Baroni, A.; Schiavilla, R.; Marcucci, L. E. Physical Review C, Vol. 98, Issue 4 https://doi.org/10.1103/physrevc.98.044003	journal	October 2018
Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces Epelbaum, E.; Golak, J.; Hebeler, K. Physical Review C, Vol. 99, Issue 2 https://doi.org/10.1103/physrevc.99.024313	journal	February 2019
Short-range three-nucleon interaction from A = 3 data and its hierarchical structure Girlanda, L.; Kievsky, A.; Viviani, M. Physical Review C, Vol. 99, Issue 5 https://doi.org/10.1103/physrevc.99.054003	journal	May 2019
Light-Nuclei Spectra from Chiral Dynamics Piarulli, M.; Baroni, A.; Girlanda, L. Physical Review Letters, Vol. 120, Issue 5 https://doi.org/10.1103/physrevlett.120.052503	journal	February 2018
Properties of Nuclei up to A = 16 using Local Chiral Interactions Lonardoni, D.; Carlson, J.; Gandolfi, S. Physical Review Letters, Vol. 120, Issue 12 https://doi.org/10.1103/physrevlett.120.122502	journal	March 2018
New Leading Contribution to Neutrinoless Double- β Decay Cirigliano, Vincenzo; Dekens, Wouter; de Vries, Jordy Physical Review Letters, Vol. 120, Issue 20 https://doi.org/10.1103/physrevlett.120.202001	journal	May 2018
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
Equations of state for supernovae and compact stars Oertel, M.; Hempel, M.; Klähn, T. Reviews of Modern Physics, Vol. 89, Issue 1 https://doi.org/10.1103/revmodphys.89.015007	journal	March 2017
Two-nucleon scattering in a modified Weinberg approach with a symmetry-preserving regularization Behrendt, J.; Epelbaum, E.; Gegelia, J. The European Physical Journal A, Vol. 52, Issue 9 https://doi.org/10.1140/epja/i2016-16296-5	journal	September 2016
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
Chiral electroweak currents in nuclei Riska, D. O.; Schiavilla, R. Quarks, Nuclei and Stars https://doi.org/10.1142/9789813220669_0021	book	March 2017
Three pion nucleon coupling constants Ruiz Arriola, E.; Amaro, J. E.; Navarro Pérez, R. Modern Physics Letters A, Vol. 31, Issue 28 https://doi.org/10.1142/s0217732316300275	journal	August 2016
Uncertainty quantification of effective nuclear interactions Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz International Journal of Modern Physics E, Vol. 25, Issue 05 https://doi.org/10.1142/s0218301316410093	journal	May 2016
Historical perspective and future prospects for nuclear interactions Machleidt, R. International Journal of Modern Physics E, Vol. 26, Issue 11 https://doi.org/10.1142/s0218301317300053	journal	November 2017
Chiral electroweak currents in nuclei Riska, D. O.; Schiavilla, R. International Journal of Modern Physics E, Vol. 26, Issue 01n02 https://doi.org/10.1142/s0218301317400225	journal	January 2017
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
Nuclear Axial Currents in Chiral Effective Field Theory Baroni, A.; Girlanda, L.; Pastore, S. arXiv https://doi.org/10.48550/arxiv.1509.07039	text	January 2015
Uncertainty quantification of effective nuclear interactions Perez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz arXiv https://doi.org/10.48550/arxiv.1601.08220	preprint	January 2016
Nuclear matter properties from local chiral interactions with $Δ$ isobar intermediate states Logoteta, Domenico; Bombaci, Ignazio; Kievsky, Alejandro arXiv https://doi.org/10.48550/arxiv.1609.00649	text	January 2016
The falsification of Chiral Nuclear Forces Arriola, E. Ruiz; Amaro, J. E.; Perez, R. Navarro arXiv https://doi.org/10.48550/arxiv.1611.02607	text	January 2016
Nuclear matter properties with nucleon-nucleon forces up to fifth order in the chiral expansion Hu, Jinniu; Zhang, Ying; Epelbaum, Evgeny arXiv https://doi.org/10.48550/arxiv.1612.05433	text	January 2016
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
Light-nuclei spectra from chiral dynamics Piarulli, M.; Baroni, A.; Girlanda, L. arXiv https://doi.org/10.48550/arxiv.1707.02883	text	January 2017
Scale dependence of deuteron electrodisintegration More, Sushant N.; Bogner, Scott K.; Furnstahl, Richard J. arXiv https://doi.org/10.48550/arxiv.1708.03315	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
Few- and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces Binder, S.; Calci, A.; Epelbaum, E. arXiv https://doi.org/10.48550/arxiv.1802.08584	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
Bayesian optimization in ab initio nuclear physics Ekström, A.; Forssén, C.; Dimitrakakis, C. arXiv https://doi.org/10.48550/arxiv.1902.00941	text	January 2019
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
Equations of state for supernovae and compact stars Micaela, Oertel,; Matthias, Hempel,; Thomas, Klähn, American Physical Society https://doi.org/10.5451/unibas-ep58112	text	January 2017

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