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Sobczyk JE, Acharya B, Bacca S, Hagen G. Ab Initio Computation of the Longitudinal Response Function in ^{40}Ca. PHYSICAL REVIEW LETTERS 2021; 127:072501. [PMID: 34459650 DOI: 10.1103/physrevlett.127.072501] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/14/2021] [Revised: 06/04/2021] [Accepted: 06/21/2021] [Indexed: 06/13/2023]
Abstract
We present a consistent ab initio computation of the longitudinal response function R_{L} in ^{40}Ca using the coupled-cluster and Lorentz integral transform methods starting from chiral nucleon-nucleon and three-nucleon interactions. We validate our approach by comparing our results for R_{L} in ^{4}He and the Coulomb sum rule in ^{40}Ca against experimental data and other calculations. For R_{L} in ^{40}Ca we obtain a very good agreement with experiment in the quasielastic peak up to intermediate momentum transfers, and we find that final state interactions are essential for an accurate description of the data. This work presents a milestone towards ab initio computations of neutrino-nucleus cross sections relevant for experimental long-baseline neutrino programs.
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Affiliation(s)
- J E Sobczyk
- Institut für Kernphysik and PRISMA+ Cluster of Excellence, Johannes Gutenberg-Universität, 55128 Mainz, Germany
| | - B Acharya
- Institut für Kernphysik and PRISMA+ Cluster of Excellence, Johannes Gutenberg-Universität, 55128 Mainz, Germany
| | - S Bacca
- Institut für Kernphysik and PRISMA+ Cluster of Excellence, Johannes Gutenberg-Universität, 55128 Mainz, Germany
- Helmholtz-Institut Mainz, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany
| | - G Hagen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
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Lovato A, Gandolfi S, Carlson J, Pieper SC, Schiavilla R. Electromagnetic Response of ^{12}C: A First-Principles Calculation. PHYSICAL REVIEW LETTERS 2016; 117:082501. [PMID: 27588850 DOI: 10.1103/physrevlett.117.082501] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/06/2016] [Indexed: 06/06/2023]
Abstract
The longitudinal and transverse electromagnetic response functions of ^{12}C are computed in a "first-principles" Green's function Monte Carlo calculation, based on realistic two- and three-nucleon interactions and associated one- and two-body currents. We find excellent agreement between theory and experiment and, in particular, no evidence for the quenching of the measured versus calculated longitudinal response. This is further corroborated by a reanalysis of the Coulomb sum rule, in which the contributions from the low-lying J^{π}=2^{+}, 0_{2}^{+} (Hoyle), and 4^{+} states in ^{12}C are accounted for explicitly in evaluating the total inelastic strength.
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Affiliation(s)
- A Lovato
- Physics Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
| | - S Gandolfi
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - J Carlson
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - Steven C Pieper
- Physics Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
| | - R Schiavilla
- Theory Center, Jefferson Lab, Newport News, Virginia 23606, USA
- Department of Physics, Old Dominion University, Norfolk, Virginia 23529, USA
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Pastore S. Electromagnetic structure of light nuclei. EPJ WEB OF CONFERENCES 2016. [DOI: 10.1051/epjconf/201611301008] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Ekström A, Jansen GR, Wendt KA, Hagen G, Papenbrock T, Bacca S, Carlsson B, Gazit D. Effects of three-nucleon forces and two-body currents on Gamow-Teller strengths. PHYSICAL REVIEW LETTERS 2014; 113:262504. [PMID: 25615316 DOI: 10.1103/physrevlett.113.262504] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/18/2014] [Indexed: 06/04/2023]
Abstract
We optimize chiral interactions at next-to-next-to leading order to observables in two- and three-nucleon systems and compute Gamow-Teller transitions in 14C and (22,24)O using consistent two-body currents. We compute spectra of the daughter nuclei 14N and (22,24)F via an isospin-breaking coupled-cluster technique, with several predictions. The two-body currents reduce the Ikeda sum rule, corresponding to a quenching factor q2≈0.84-0.92 of the axial-vector coupling. The half-life of 14C depends on the energy of the first excited 1+ state, the three-nucleon force, and the two-body current.
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Affiliation(s)
- A Ekström
- Department of Physics and Center of Mathematics for Applications, University of Oslo, N-0316 Oslo, Norway
| | - G R Jansen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA and Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - K A Wendt
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA and Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - G Hagen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA and Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - T Papenbrock
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA and Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - S Bacca
- TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada and Department of Physics and Astronomy, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada
| | - B Carlsson
- Department of Fundamental Physics, Chalmers University of Technology, SE-412 96 Göteborg, Sweden
| | - D Gazit
- Racah Institute of Physics, Hebrew University, 91904 Jerusalem, Israel
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Lynn JE, Carlson J, Epelbaum E, Gandolfi S, Gezerlis A, Schwenk A. Quantum Monte Carlo calculations of light nuclei using chiral potentials. PHYSICAL REVIEW LETTERS 2014; 113:192501. [PMID: 25415900 DOI: 10.1103/physrevlett.113.192501] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/11/2014] [Indexed: 06/04/2023]
Abstract
We present the first Green's function Monte Carlo calculations of light nuclei with nuclear interactions derived from chiral effective field theory up to next-to-next-to-leading order. Up to this order, the interactions can be constructed in a local form and are therefore amenable to quantum Monte Carlo calculations. We demonstrate a systematic improvement with each order for the binding energies of A=3 and A=4 systems. We also carry out the first few-body tests to study perturbative expansions of chiral potentials at different orders, finding that higher-order corrections are more perturbative for softer interactions. Our results confirm the necessity of a three-body force for correct reproduction of experimental binding energies and radii, and pave the way for studying few- and many-nucleon systems using quantum Monte Carlo methods with chiral interactions.
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Affiliation(s)
- J E Lynn
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - J Carlson
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - E Epelbaum
- Institut für Theoretische Physik II, Ruhr-Universität Bochum, 44780 Bochum, Germany
| | - S Gandolfi
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - A Gezerlis
- Department of Physics, University of Guelph, Guelph, Ontario N1G 2W1, Canada
| | - A Schwenk
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany and ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
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