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Sobczyk JE, Roggero A. Spectral density reconstruction with Chebyshev polynomials. Phys Rev E 2022; 105:055310. [PMID: 35706316 DOI: 10.1103/physreve.105.055310] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/15/2021] [Accepted: 05/11/2022] [Indexed: 06/15/2023]
Abstract
Accurate calculations of the spectral density in a strongly correlated quantum many-body system are of fundamental importance to study its dynamics in the linear response regime. Typical examples are the calculation of inclusive and semiexclusive scattering cross sections in atomic nuclei and transport properties of nuclear and neutron star matter. Integral transform techniques play an important role in accessing the spectral density in a variety of nuclear systems. However, their accuracy is in practice limited by the need to perform a numerical inversion which is often ill-conditioned. In the present work we extend a recently proposed quantum algorithm which circumvents this problem. We show how to perform controllable reconstructions of the spectral density over a finite energy resolution with rigorous error estimates. An appropriate expansion in Chebyshev polynomials allows for efficient simulations also on classical computers. We apply our idea to obtain the local density of states for graphene in a magnetic field as a proof of principle. This paves the way for future applications in nuclear and condensed matter physics.
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Affiliation(s)
- Joanna E Sobczyk
- Institut für Kernphysik and PRISMA+ Cluster of Excellence, Johannes Gutenberg-Universität, 55128 Mainz, Germany
| | - Alessandro Roggero
- Physics Department, University of Trento, Via Sommarive 14, I-38123 Trento, Italy
- INFN-TIFPA Trento Institute of Fundamental Physics and Applications, Trento, Italy
- InQubator for Quantum Simulation (IQuS), Department of Physics, University of Washington, Seattle, Washington 98195, USA
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2
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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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3
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Kaufmann S, Simonis J, Bacca S, Billowes J, Bissell ML, Blaum K, Cheal B, Ruiz RFG, Gins W, Gorges C, Hagen G, Heylen H, Kanellakopoulos A, Malbrunot-Ettenauer S, Miorelli M, Neugart R, Neyens G, Nörtershäuser W, Sánchez R, Sailer S, Schwenk A, Ratajczyk T, Rodríguez LV, Wehner L, Wraith C, Xie L, Xu ZY, Yang XF, Yordanov DT. Charge Radius of the Short-Lived ^{68}Ni and Correlation with the Dipole Polarizability. PHYSICAL REVIEW LETTERS 2020; 124:132502. [PMID: 32302185 DOI: 10.1103/physrevlett.124.132502] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/30/2020] [Revised: 03/06/2020] [Accepted: 03/11/2020] [Indexed: 06/11/2023]
Abstract
We present the first laser spectroscopic measurement of the neutron-rich nucleus ^{68}Ni at the N=40 subshell closure and extract its nuclear charge radius. Since this is the only short-lived isotope for which the dipole polarizability α_{D} has been measured, the combination of these observables provides a benchmark for nuclear structure theory. We compare them to novel coupled-cluster calculations based on different chiral two- and three-nucleon interactions, for which a strong correlation between the charge radius and dipole polarizability is observed, similar to the stable nucleus ^{48}Ca. Three-particle-three-hole correlations in coupled-cluster theory substantially improve the description of the experimental data, which allows to constrain the neutron radius and neutron skin of ^{68}Ni.
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Affiliation(s)
- S Kaufmann
- Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany
| | - J Simonis
- Institut für Kernphysik and PRISMA+ Cluster of Excellence, Johannes Gutenberg-Universität Mainz, D-55128 Mainz, Germany
| | - S Bacca
- Institut für Kernphysik and PRISMA+ Cluster of Excellence, Johannes Gutenberg-Universität Mainz, D-55128 Mainz, Germany
- Helmholtz Institute Mainz, GSI Helmholtzzentrum für Schwerionenforschung GmbH, D-64291 Darmstadt, Germany
| | - J Billowes
- School of Physics and Astronomy, The University of Manchester, Manchester, M13 9PL, United Kingdom
| | - M L Bissell
- School of Physics and Astronomy, The University of Manchester, Manchester, M13 9PL, United Kingdom
| | - K Blaum
- Max-Planck-Institut für Kernphysik, D-69117 Heidelberg, Germany
| | - B Cheal
- Oliver Lodge Laboratory, Oxford Street, University of Liverpool, Liverpool L69 7ZE, United Kingdom
| | - R F Garcia Ruiz
- School of Physics and Astronomy, The University of Manchester, Manchester, M13 9PL, United Kingdom
- Experimental Physics Department, CERN, CH-1211 Geneva 23, Switzerland
| | - W Gins
- KU Leuven, Instituut voor Kern- en Stralingsfysica, B-3001 Leuven, Belgium
| | - C Gorges
- Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany
| | - 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
| | - H Heylen
- Max-Planck-Institut für Kernphysik, D-69117 Heidelberg, Germany
- Experimental Physics Department, CERN, CH-1211 Geneva 23, Switzerland
| | - A Kanellakopoulos
- KU Leuven, Instituut voor Kern- en Stralingsfysica, B-3001 Leuven, Belgium
| | | | - M Miorelli
- TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T 2A3, Canada
| | - R Neugart
- Max-Planck-Institut für Kernphysik, D-69117 Heidelberg, Germany
- Institut für Kernchemie, Johannes Gutenberg-Universität Mainz, D-55128 Mainz, Germany
| | - G Neyens
- Experimental Physics Department, CERN, CH-1211 Geneva 23, Switzerland
- KU Leuven, Instituut voor Kern- en Stralingsfysica, B-3001 Leuven, Belgium
| | - W Nörtershäuser
- Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany
| | - R Sánchez
- GSI Helmholtzzentrum für Schwerionenforschung GmbH, D-64291 Darmstadt, Germany
| | - S Sailer
- Technische Universität München, D-80333 München, Germany
| | - A Schwenk
- Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany
- Max-Planck-Institut für Kernphysik, D-69117 Heidelberg, Germany
- ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, D-64291 Darmstadt, Germany
| | - T Ratajczyk
- Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany
| | - L V Rodríguez
- Institut de Physique Nucléaire, CNRS-IN2P3, Université Paris-Sud, Université Paris-Saclay, 91406 Orsay, France
| | - L Wehner
- Institut für Kernchemie, Universität Mainz, D-55128 Mainz, Germany
| | - C Wraith
- Oliver Lodge Laboratory, Oxford Street, University of Liverpool, Liverpool L69 7ZE, United Kingdom
| | - L Xie
- School of Physics and Astronomy, The University of Manchester, Manchester, M13 9PL, United Kingdom
| | - Z Y Xu
- KU Leuven, Instituut voor Kern- en Stralingsfysica, B-3001 Leuven, Belgium
| | - X F Yang
- KU Leuven, Instituut voor Kern- en Stralingsfysica, B-3001 Leuven, Belgium
- School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
| | - D T Yordanov
- Institut de Physique Nucléaire, CNRS-IN2P3, Université Paris-Sud, Université Paris-Saclay, 91406 Orsay, France
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Birkhan J, Miorelli M, Bacca S, Bassauer S, Bertulani CA, Hagen G, Matsubara H, von Neumann-Cosel P, Papenbrock T, Pietralla N, Ponomarev VY, Richter A, Schwenk A, Tamii A. Electric Dipole Polarizability of ^{48}Ca and Implications for the Neutron Skin. PHYSICAL REVIEW LETTERS 2017; 118:252501. [PMID: 28696765 DOI: 10.1103/physrevlett.118.252501] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/21/2016] [Indexed: 06/07/2023]
Abstract
The electric dipole strength distribution in ^{48}Ca between 5 and 25 MeV has been determined at RCNP, Osaka from proton inelastic scattering experiments at forward angles. Combined with photoabsorption data at higher excitation energy, this enables the first extraction of the electric dipole polarizability α_{D}(^{48}Ca)=2.07(22) fm^{3}. Remarkably, the dipole response of ^{48}Ca is found to be very similar to that of ^{40}Ca, consistent with a small neutron skin in ^{48}Ca. The experimental results are in good agreement with ab initio calculations based on chiral effective field theory interactions and with state-of-the-art density-functional calculations, implying a neutron skin in ^{48}Ca of 0.14-0.20 fm.
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Affiliation(s)
- J Birkhan
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - M Miorelli
- TRIUMF, 4004Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
| | - S Bacca
- TRIUMF, 4004Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
- Department of Physics and Astronomy, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada
| | - S Bassauer
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - C A Bertulani
- Department of Physics and Astronomy, Texas A&M University-Commerce, Commerce, Texas 75429, USA
| | - 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
| | - H Matsubara
- Research Center for Nuclear Physics, Osaka University, Ibaraki, Osaka 567-0047, Japan
- Tokyo Women's Medical University, 8-1 Kawada-cho, Shinjuku-ku, Tokyo 162-8666, Japan
| | - P von Neumann-Cosel
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - T Papenbrock
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - N Pietralla
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - V Yu Ponomarev
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - A Richter
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - A Schwenk
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
- ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | - A Tamii
- Research Center for Nuclear Physics, Osaka University, Ibaraki, Osaka 567-0047, Japan
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Miorelli M, Bacca S, Barnea N, Hagen G, Orlandini G, Papenbrock T. Electric dipole polarizability: from few- to many-body systems. EPJ WEB OF CONFERENCES 2016. [DOI: 10.1051/epjconf/201611304007] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Xu T, Miorelli M, Bacca S, Hagen G. A theoretical approach to electromagnetic reactions in light nuclei. EPJ WEB OF CONFERENCES 2016. [DOI: 10.1051/epjconf/201611304016] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Hagen G, Papenbrock T, Hjorth-Jensen M, Dean DJ. Coupled-cluster computations of atomic nuclei. REPORTS ON PROGRESS IN PHYSICS. PHYSICAL SOCIETY (GREAT BRITAIN) 2014; 77:096302. [PMID: 25222372 DOI: 10.1088/0034-4885/77/9/096302] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
In the past decade, coupled-cluster theory has seen a renaissance in nuclear physics, with computations of neutron-rich and medium-mass nuclei. The method is efficient for nuclei with product-state references, and it describes many aspects of weakly bound and unbound nuclei. This report reviews the technical and conceptual developments of this method in nuclear physics, and the results of coupled-cluster calculations for nucleonic matter, and for exotic isotopes of helium, oxygen, calcium, and some of their neighbors.
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Affiliation(s)
- G Hagen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA. Department of Physics and Astronomy, University of Tennessee, Knoxville, TN 37996, USA
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He WB, Ma YG, Cao XG, Cai XZ, Zhang GQ. Giant dipole resonance as a fingerprint of α clustering configurations in 12C and 16O. PHYSICAL REVIEW LETTERS 2014; 113:032506. [PMID: 25083640 DOI: 10.1103/physrevlett.113.032506] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/06/2014] [Indexed: 06/03/2023]
Abstract
It is studied how the α cluster degrees of freedom, such as α clustering configurations close to the α decay threshold in (12)C and (16)O, including the linear chain, triangle, square, kite, and tetrahedron, affect nuclear collective vibrations with a microscopic dynamical approach, which can describe properties of nuclear ground states well across the nuclide chart and reproduce the standard giant dipole resonance (GDR) of (16)O quite nicely. It is found that the GDR spectrum is highly fragmented into several apparent peaks due to the α structure. The different α cluster configurations in (12)C and (16)O have corresponding characteristic spectra of GDR. The number and centroid energies of peaks in the GDR spectra can be reasonably explained by the geometrical and dynamical symmetries of α clustering configurations. Therefore, the GDR can be regarded as a very effective probe to diagnose the different α cluster configurations in light nuclei.
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Affiliation(s)
- W B He
- Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China and University of the Chinese Academy of Sciences, Beijing 100080, China
| | - Y G Ma
- Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China and Shanghai Tech University, Shanghai 200031, China
| | - X G Cao
- Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China
| | - X Z Cai
- Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China
| | - G Q Zhang
- Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China
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