Validity of the distorted-wave impulse-approximation description of Ca40(e,e'p)K39 data using only ingredients from a nonlocal dispersive optical model

Atkinson, M. C.; Blok, H. P.; Lapikás, L.; Charity, R. J.; Dickhoff, W. H.

doi:10.1103/physrevc.98.044627

Title: Validity of the distorted-wave impulse-approximation description of ${}^{40}{Ca} (e, e^{'} p) {}^{39}K$ data using only ingredients from a nonlocal dispersive optical model

Journal Article · 30 October 2018 · Physical Review C

DOI: https://doi.org/10.1103/physrevc.98.044627 · OSTI ID:1610081

Atkinson, M. C. ^[1]; Blok, H. P. ^[2]; Lapikás, L. ^[3]; Charity, R. J. ^[4]; Dickhoff, W. H. ^[4]

Washington Univ., St. Louis, MO (United States); DOE/OSTI
National Inst. for Subatomic Physics (Nikhef), Amsterdam (The Netherlands); VU Univ., Amsterdam (The Netherlands)
National Inst. for Subatomic Physics (Nikhef), Amsterdam (The Netherlands)
Washington Univ., St. Louis, MO (United States)

The nonlocal implementation of the dispersive optical model (DOM) provides all the ingredients for distorted-wave impulse-approximation (DWIA) calculations of the (e,e'p) reaction. It provides both the overlap function, including its normalization, and the outgoing proton distorted wave. This framework is applied to describe the knockout of a proton from the 0d3/2 and 1s1/2 orbitals in ⁴⁰Ca with fixed normalizations of 0.71 and 0.60, respectively. Data were obtained in parallel kinematics for three outgoing proton energies: 70, 100, and 135 MeV. Agreement with the data is as good as, or better than, previous descriptions employing local optical potentials and overlap functions from Woods-Saxon potentials—both with standard nonlocality corrections—whose normalization (spectroscopic factor) and radius were fitted to the data. The present analysis suggests that slightly larger spectroscopic factors are obtained when nonlocal optical potentials are employed than those generated with local potentials. The results further suggest that the chosen kinematical window around 100 MeV proton energy provides the best and cleanest method to employ the DWIA for the analysis of this reaction. The conclusion that substantial ground-state correlations cannot be ignored when describing a closed-shell atomic nucleus is therefore confirmed in detail. To reach these conclusions, it is essential to have a complete description of the nucleon single-particle propagator that accounts for all elastic nucleon-scattering observables in a wide energy domain up to 200 MeV. Lastly, the current nonlocal implementation of the DOM fulfills this requirement.

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Research Organization:: Washington Univ., St. Louis, MO (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-87ER40316

OSTI ID:: 1610081

Journal Information:: Physical Review C, Journal Name: Physical Review C Journal Issue: 4 Vol. 98; ISSN PRVCAN; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (57)

A non-local potential model for the scattering of neutrons by nuclei Perey, F.; Buck, B. Nuclear Physics, Vol. 32 https://doi.org/10.1016/0029-5582(62)90345-0	journal	April 1962
The equivalent local potential and the Perey effect Fiedeldey, H. Nuclear Physics, Vol. 77, Issue 1 https://doi.org/10.1016/0029-5582(66)90682-1	journal	March 1966
Nuclear charge-density-distribution parameters from elastic electron scattering De Vries, H.; De Jager, C. W.; De Vries, C. Atomic Data and Nuclear Data Tables, Vol. 36, Issue 3 https://doi.org/10.1016/0092-640X(87)90013-1	journal	May 1987
The 500 MeV electron-scattering facility at NIKHEF-K de Vries, C.; de Jager, C. W.; Lapikás, L. Nuclear Instruments and Methods in Physics Research, Vol. 223, Issue 1 https://doi.org/10.1016/0167-5087(84)90242-4	journal	June 1984
A global nucleon optical model potential Varner, R. L.; Thompson, W. J.; McAbee, T. L. Physics Reports, Vol. 201, Issue 2 https://doi.org/10.1016/0370-1573(91)90039-O	journal	March 1991
Charge density of 40Ca Sick, I.; Bellicard, J. B.; Cavedon, J. M. Physics Letters B, Vol. 88, Issue 3-4 https://doi.org/10.1016/0370-2693(79)90458-1	journal	December 1979
Electron-nucleon interaction in quasi-free scattering Boffi, S.; Giusti, C.; Pacati, F. D. Nuclear Physics A, Vol. 336, Issue 3 https://doi.org/10.1016/0375-9474(80)90218-3	journal	March 1980
Electron-nucleon interaction in quasi-free scattering Giusti, C.; Pacati, F. D. Nuclear Physics A, Vol. 336, Issue 3 https://doi.org/10.1016/0375-9474(80)90219-5	journal	March 1980
Off-shell electron-nucleon cross sections De Forest, Taber Nuclear Physics A, Vol. 392, Issue 2-3 https://doi.org/10.1016/0375-9474(83)90124-0	journal	January 1983
Electron distortion in quasifree (e,e′p) reactions Giusti, C.; Pacati, F. D. Nuclear Physics A, Vol. 473, Issue 4 https://doi.org/10.1016/0375-9474(87)90276-4	journal	November 1987
Single-particle properties of 51V and 90Zr studied with the (e,e'p) reaction den Herder, J. W. A.; Blok, H. P.; Jans, E. Nuclear Physics A, Vol. 490, Issue 3 https://doi.org/10.1016/0375-9474(88)90012-7	journal	December 1988
Separation of structure functions and electron distortion in quasifree (e, e′p) reactions Giusti, C.; Pacati, F. D. Nuclear Physics A, Vol. 485, Issue 3-4 https://doi.org/10.1016/0375-9474(88)90548-9	journal	August 1988
Nuclear response beyond mean field theory Brand, M. G. E.; Allaart, K.; Dickhoff, W. H. Nuclear Physics A, Vol. 509, Issue 1 https://doi.org/10.1016/0375-9474(90)90374-U	journal	March 1990
Quasi-elastic electron scattering off nuclei Lapikás, L. Nuclear Physics A, Vol. 553 https://doi.org/10.1016/0375-9474(93)90630-G	journal	March 1993
Are occupation numbers observable? Furnstahl, R. J.; Hammer, H. -W. Physics Letters B, Vol. 531, Issue 3-4 https://doi.org/10.1016/S0370-2693(01)01504-0	journal	April 2002
Proton ground-state correlations in 40Ca studied with the reaction 40Ca(e, e′ p)49K Kramer, G. J.; Blok, H. P.; Van Den Brand, J. F. J. Physics Letters B, Vol. 227, Issue 2 https://doi.org/10.1016/S0370-2693(89)80022-X	journal	August 1989
A consistent analysis of (e,e′p) and (d,3He) experiments Kramer, G. J.; Blok, H. P.; Lapikás, L. Nuclear Physics A, Vol. 679, Issue 3-4 https://doi.org/10.1016/S0375-9474(00)00379-1	journal	January 2001
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
Proton-induced knockout reactions with polarized and unpolarized beams Wakasa, T.; Ogata, K.; Noro, T. Progress in Particle and Nuclear Physics, Vol. 96 https://doi.org/10.1016/j.ppnp.2017.06.002	journal	September 2017
The R -matrix theory Descouvemont, P.; Baye, D. Reports on Progress in Physics, Vol. 73, Issue 3 https://doi.org/10.1088/0034-4885/73/3/036301	journal	February 2010
Proton spectral functions and momentum distributions in nuclei from high-resolution (e,e'p) experiments Huberts, P. K. A. de Witt Journal of Physics G: Nuclear and Particle Physics, Vol. 16, Issue 4 https://doi.org/10.1088/0954-3899/16/4/004	journal	April 1990
How should one formulate, extract and interpret ‘non-observables’ for nuclei? Furnstahl, R. J.; Schwenk, A. Journal of Physics G: Nuclear and Particle Physics, Vol. 37, Issue 6 https://doi.org/10.1088/0954-3899/37/6/064005	journal	March 2010
Novel applications of the dispersive optical model Dickhoff, W. H.; Charity, R. J.; Mahzoon, M. H. Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 3 https://doi.org/10.1088/1361-6471/44/3/033001	journal	February 2017
Exclusive quasi-free proton knockout from oxygen isotopes at intermediate energies Kawase, Shoichiro; Uesaka, Tomohiro; Tang, Tsz Leung Progress of Theoretical and Experimental Physics, Vol. 2018, Issue 2 https://doi.org/10.1093/ptep/pty011	journal	February 2018
Analyzing power of proton-nucleus elastic scattering between 80 and 180 MeV Schwandt, P.; Meyer, H. O.; Jacobs, W. W. Physical Review C, Vol. 26, Issue 1 https://doi.org/10.1103/PhysRevC.26.55	journal	July 1982
Two-step processes in the quasi-free (e,e’p) reaction van der Steenhoven, G.; Blok, H. P.; den Herder, J. W. A. Physical Review C, Vol. 32, Issue 5 https://doi.org/10.1103/PhysRevC.32.1787	journal	November 1985
Reaction cross sections for protons on C 12 , Ca 40 , Zr 90 , and Pb 208 at energies between 80 and 180 MeV Auce, A.; Ingemarsson, A.; Johansson, R. Physical Review C, Vol. 71, Issue 6 https://doi.org/10.1103/PhysRevC.71.064606	journal	June 2005
Dispersive-optical-model analysis of the asymmetry dependence of correlations in Ca isotopes Charity, R. J.; Mueller, J. M.; Sobotka, L. G. Physical Review C, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevC.76.044314	journal	October 2007
Unitary correlation in nuclear reaction theory: Separation of nuclear reactions and spectroscopic factors Mukhamedzhanov, A. M.; Kadyrov, A. S. Physical Review C, Vol. 82, Issue 5 https://doi.org/10.1103/PhysRevC.82.051601	journal	November 2010
Nonlocal extension of the dispersive optical model to describe data below the Fermi energy Dickhoff, W. H.; Van Neck, D.; Waldecker, S. J. Physical Review C, Vol. 82, Issue 5 https://doi.org/10.1103/PhysRevC.82.054306	journal	November 2010
Asymmetry dependence of nucleon correlations in spherical nuclei extracted from a dispersive-optical-model analysis Mueller, J. M.; Charity, R. J.; Shane, R. Physical Review C, Vol. 83, Issue 6 https://doi.org/10.1103/PhysRevC.83.064605	journal	June 2011
Quantum Monte Carlo calculations of spectroscopic overlaps in A ⩽ 7 nuclei Brida, I.; Pieper, Steven C.; Wiringa, R. B. Physical Review C, Vol. 84, Issue 2 https://doi.org/10.1103/PhysRevC.84.024319	journal	August 2011
Quasifree ( e , e ′ p ) reactions on nuclei with neutron excess Giusti, C.; Meucci, A.; Pacati, F. D. Physical Review C, Vol. 84, Issue 2 https://doi.org/10.1103/PhysRevC.84.024615	journal	August 2011
Microscopic self-energy calculations and dispersive optical-model potentials Waldecker, S. J.; Barbieri, C.; Dickhoff, W. H. Physical Review C, Vol. 84, Issue 3 https://doi.org/10.1103/PhysRevC.84.034616	journal	September 2011
Microscopic self-energy of 40 Ca from the charge-dependent Bonn potential Dussan, H.; Waldecker, S. J.; Dickhoff, W. H. Physical Review C, Vol. 84, Issue 4 https://doi.org/10.1103/PhysRevC.84.044319	journal	October 2011
Transfer reactions and the dispersive optical model Nguyen, N. B.; Waldecker, S. J.; Nunes, F. M. Physical Review C, Vol. 84, Issue 4 https://doi.org/10.1103/PhysRevC.84.044611	journal	October 2011
Elastic nucleon-nucleus scattering as a direct probe of correlations beyond the independent-particle model Dussan, H.; Mahzoon, M. H.; Charity, R. J. Physical Review C, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevC.90.061603	journal	December 2014
Neutron-Proton Asymmetry Dependence of Spectroscopic Factors in Ar Isotopes Lee, Jenny; Tsang, M. B.; Bazin, D. Physical Review Letters, Vol. 104, Issue 11 https://doi.org/10.1103/PhysRevLett.104.112701	journal	March 2010
Quenching of Spectroscopic Factors for Proton Removal in Oxygen Isotopes Jensen, Ø.; Hagen, G.; Hjorth-Jensen, M. Physical Review Letters, Vol. 107, Issue 3 https://doi.org/10.1103/PhysRevLett.107.032501	journal	July 2011
Forging the Link between Nuclear Reactions and Nuclear Structure Mahzoon, M. H.; Charity, R. J.; Dickhoff, W. H. Physical Review Letters, Vol. 112, Issue 16 https://doi.org/10.1103/PhysRevLett.112.162503	journal	April 2014
Neutron Skin Thickness of Ca 48 from a Nonlocal Dispersive Optical-Model Analysis Mahzoon, M. H.; Atkinson, M. C.; Charity, R. J. Physical Review Letters, Vol. 119, Issue 22 https://doi.org/10.1103/PhysRevLett.119.222503	journal	November 2017
Quasifree ( p , 2 p ) Reactions on Oxygen Isotopes: Observation of Isospin Independence of the Reduced Single-Particle Strength Atar, L.; Paschalis, S.; Barbieri, C. Physical Review Letters, Vol. 120, Issue 5 https://doi.org/10.1103/PhysRevLett.120.052501	journal	January 2018
A Formal Optical Model Bell, J. S.; Squires, E. J. Physical Review Letters, Vol. 3, Issue 2 https://doi.org/10.1103/PhysRevLett.3.96	journal	July 1959
Reduced Occupancy of the Deeply Bound 0 d 5 / 2 Neutron State in A r 32 Gade, A.; Bazin, D.; Brown, B. A. Physical Review Letters, Vol. 93, Issue 4 https://doi.org/10.1103/PhysRevLett.93.042501	journal	July 2004
Asymmetry Dependence of Proton Correlations Charity, R. J.; Sobotka, L. G.; Dickhoff, W. H. Physical Review Letters, Vol. 97, Issue 16 https://doi.org/10.1103/PhysRevLett.97.162503	journal	October 2006
Independent particle motion and correlations in fermion systems Pandharipande, Vijay R.; Sick, Ingo; Huberts, Peter K. A. deWitt Reviews of Modern Physics, Vol. 69, Issue 3 https://doi.org/10.1103/RevModPhys.69.981	journal	July 1997
Toward a complete theory for predicting inclusive deuteron breakup away from stability Potel, G.; Perdikakis, G.; Carlson, B. V. The European Physical Journal A, Vol. 53, Issue 9 https://doi.org/10.1140/epja/i2017-12371-9	journal	September 2017
Many-Body Theory Exposed! Dickhoff, Willem H.; Van Neck, Dimitri https://doi.org/10.1142/5804	book	April 2005
Many-Body Theory Exposed!: Propagator Description of Quantum Mechanics in Many-Body Systems Dickhoff, Willem H.; Van Neck, Dimitri https://doi.org/10.1142/6821	book	May 2008
On High Resolution (e,e′p) Reactions Dieperink, A. E. L.; Huberts, P. K. A. Annual Review of Nuclear and Particle Science, Vol. 40, Issue 1 https://doi.org/10.1146/annurev.ns.40.120190.001323	journal	December 1990
How should one formulate, extract, and interpret `non-observables' for nuclei? Furnstahl, R. J.; Schwenk, A. arXiv https://doi.org/10.48550/arxiv.1001.0328	text	January 2010
Nonlocal extension of the dispersive-optical-model to describe data below the Fermi energy Dickhoff, W. H.; Van Neck, D.; Waldecker, S. J. arXiv https://doi.org/10.48550/arxiv.1010.1464	text	January 2010
Microscopic self-energy calculations and dispersive optical-model potentials Waldecker, S. J.; Barbieri, C.; Dickhoff, W. H. arXiv https://doi.org/10.48550/arxiv.1105.4257	text	January 2011
Transfer reactions and the dispersive optical-model Nguyen, N. B.; Waldecker, S. J.; Nunes, F. M. arXiv https://doi.org/10.48550/arxiv.1108.2524	text	January 2011
A consistent analysis of (e,e'p) and (d,3He) experiments Kramer, G. J.; Blok, H. P.; Lapikas, L. arXiv https://doi.org/10.48550/arxiv.nucl-ex/0007014	text	January 2000
Asymmetry dependence of proton correlations Charity, R. J.; Sobotka, L. G.; Dickhoff, W. H. arXiv https://doi.org/10.48550/arxiv.nucl-ex/0605026	text	January 2006
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

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Title: Validity of the distorted-wave impulse-approximation description of Ca40( e,e' p)K39 data using only ingredients from a nonlocal dispersive optical model

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Title: Validity of the distorted-wave impulse-approximation description of ${}^{40}{Ca} (e, e^{'} p) {}^{39}K$ data using only ingredients from a nonlocal dispersive optical model