A predictive theory for elastic scattering and recoil of protons from 4He

Hupin, Guillaume; Quaglioni, Sofia; Navratil, Petr

doi:10.1103/PhysRevC.90.061601

Title: A predictive theory for elastic scattering and recoil of protons from ⁴He

Journal Article · Mon Dec 08 00:00:00 EST 2014 · Physical Review C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.90.061601· OSTI ID:1252625

Hupin, Guillaume ^[1]; Quaglioni, Sofia ^[1]; Navratil, Petr ^[2]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
TRIUMF, Vancouver, BC (Canada)

Low-energy cross sections for elastic scattering and recoil of protons from ⁴He nuclei (also known as α particles) are calculated directly by solving the Schrodinger equation for five nucleons interacting through accurate two- and three-nucleon forces derived within the framework of chiral effective field theory. Precise knowledge of these processes at various proton backscattering/recoil angles and energies is needed for the ion-beam analysis of numerous materials, from the surface layers of solids, to thin films, to fusion-reactor materials. Indeed, the same elastic scattering process, in two different kinematic configurations, can be used to probe the concentrations and depth profiles of either hydrogen or helium. Furthermore, we compare our results to available experimental data and show that direct calculations with modern nuclear potentials can help to resolve remaining inconsistencies among data sets and can be used to predict these cross sections when measurements are not available.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344; SCW1158

OSTI ID:: 1252625

Alternate ID(s):: OSTI ID: 1181451

Report Number(s):: LLNL-JRNL-659467; PRVCAN

Journal Information:: Physical Review C, Nuclear Physics, Vol. 90, Issue 6; ISSN 0556-2813

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 32 works

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References (48)

Scattering length and effective range for collisions between light ions within a microscopic model Kamouni, R.; Baye, D. Nuclear Physics A, Vol. 791, Issue 1-2 https://doi.org/10.1016/j.nuclphysa.2007.04.009	journal	July 2007
Angular Distribution of 1- to 3.5-Mev Protons Scattered by ${He}^{4}$ Freier, George; Lampi, Eugene; Sleator, W. Physical Review, Vol. 75, Issue 9 https://doi.org/10.1103/PhysRev.75.1345	journal	May 1949
Ab Initio Description of the Exotic Unbound ${}^{7}{He}$ Nucleus Baroni, Simone; Navrátil, Petr; Quaglioni, Sofia Physical Review Letters, Vol. 110, Issue 2 https://doi.org/10.1103/PhysRevLett.110.022505	journal	January 2013
Evolving nuclear many-body forces with the similarity renormalization group Jurgenson, E. D.; Navrátil, P.; Furnstahl, R. J. Physical Review C, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevC.83.034301	journal	March 2011
Polarization measurements and phase shifts for p-4He scattering between 3 and 18 MeV Schwandt, P.; Clegg, T. B.; Haeberli, W. Nuclear Physics A, Vol. 163, Issue 2 https://doi.org/10.1016/0375-9474(71)90500-8	journal	March 1971
Coulomb interactions within halo EFT Higa, R. Few-Body Systems, Vol. 44, Issue 1-4 https://doi.org/10.1007/s00601-008-0272-0	journal	November 2008
Étude des états et des noyaux 5He et 5Li par les diffusions n + 4He et p + 4He Kraus, L.; Linck, I. Nuclear Physics A, Vol. 224, Issue 1 https://doi.org/10.1016/0375-9474(74)90161-4	journal	May 1974
Energy levels of light nuclei A=5, 6, 7 Tilley, D. R.; Cheves, C. M.; Godwin, J. L. Nuclear Physics A, Vol. 708, Issue 1-2 https://doi.org/10.1016/S0375-9474(02)00597-3	journal	September 2002
Structural modifications in He-implanted waveguide layers of LiNbO3 Avrahami, Y.; Zolotoyabko, E. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 120, Issue 1-4 https://doi.org/10.1016/S0168-583X(96)00484-3	journal	December 1996
Systematic investigation of scattering problems with the resonating-group method Thompson, D. R.; Lemere, M.; Tang, Y. C. Nuclear Physics A, Vol. 286, Issue 1 https://doi.org/10.1016/0375-9474(77)90007-0	journal	August 1977
Ab initio many-body calculations of nucleon-nucleus scattering Quaglioni, Sofia; Navrátil, Petr Physical Review C, Vol. 79, Issue 4 https://doi.org/10.1103/PhysRevC.79.044606	journal	April 2009
Evaluated differential cross-sections for IBA Gurbich, A. F. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 268, Issue 11-12 https://doi.org/10.1016/j.nimb.2010.02.011	journal	June 2010
Properties of $^{12} C$ in the Ab Initio Nuclear Shell Model Navrátil, P.; Vary, J. P.; Barrett, B. R. Physical Review Letters, Vol. 84, Issue 25 https://doi.org/10.1103/PhysRevLett.84.5728	journal	June 2000
Alpha–proton elastic scattering cross sections for ERDA in the resonance region Pusa, P.; Rauhala, E.; Gurbich, A. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 222, Issue 3-4 https://doi.org/10.1016/j.nimb.2004.02.036	journal	August 2004
Microanalysis of He using charged particle accelerators Pászti, F. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 66, Issue 1-2 https://doi.org/10.1016/0168-583X(92)96143-M	journal	March 1992
Ab initio many-body calculations of nucleon- $^{4}$ He scattering with three-nucleon forces Hupin, Guillaume; Langhammer, Joachim; Navrátil, Petr Physical Review C, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevC.88.054622	journal	November 2013
Chiral three-nucleon force at N $^{4}$ LO. II. Intermediate-range contributions Krebs, H.; Gasparyan, A.; Epelbaum, E. Physical Review C, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevC.87.054007	journal	May 2013
Quantum Monte Carlo Calculations of Neutron- $α$ Scattering Nollett, Kenneth M.; Pieper, Steven C.; Wiringa, R. B. Physical Review Letters, Vol. 99, Issue 2 https://doi.org/10.1103/PhysRevLett.99.022502	journal	July 2007
Analysis of proton elastic recoil cross section by using R-matrix theory Kim, Suk Kwon; Choi, H. D. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 174, Issue 1-2 https://doi.org/10.1016/S0168-583X(00)00511-5	journal	March 2001
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
Local three-nucleon interaction from chiral effective field theory Navrátil, P. Few-Body Systems, Vol. 41, Issue 3-4 https://doi.org/10.1007/s00601-007-0193-3	journal	November 2007
Effect of Three Nucleon Forces in p − 3He Scattering Viviani, M.; Girlanda, L.; Kievsky, A. Few-Body Systems, Vol. 54, Issue 7-10 https://doi.org/10.1007/s00601-013-0665-6	journal	February 2013
Unitary correlation operator method from a similarity renormalization group perspective Hergert, H.; Roth, R. Physical Review C, Vol. 75, Issue 5 https://doi.org/10.1103/PhysRevC.75.051001	journal	May 2007
Absolute cross section for hydrogen forward scattering Baglin, J. E. E.; Kellock, A. J.; Crockett, M. A. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 64, Issue 1-4 https://doi.org/10.1016/0168-583X(92)95518-V	journal	February 1992
Renormalization of Hamiltonians Głazek, Stanisław D.; Wilson, Kenneth G. Physical Review D, Vol. 48, Issue 12 https://doi.org/10.1103/PhysRevD.48.5863	journal	December 1993
Elastic scattering of 2–11 MeV protons by He4 Barnard, A. C. L.; Jones, C. M.; Weil, J. L. Nuclear Physics, Vol. 50 https://doi.org/10.1016/0029-5582(64)90233-0	journal	January 1964
Scattering of Protons from Helium and Level Parameters in ${Li}^{5}$ Miller, Philip D.; Phillips, G. C. Physical Review, Vol. 112, Issue 6 https://doi.org/10.1103/PhysRev.112.2043	journal	December 1958
The calculation of the differential cross sections for recoil protons in 4He-p Scattering Wang, Yansen; Chen, Jianxin; Huang, Fayang Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 17, Issue 1 https://doi.org/10.1016/0168-583X(86)90444-1	journal	August 1986
Large-basis *ab initio* no-core shell model and its application to $^{12} C$ Navrátil, P.; Vary, J. P.; Barrett, B. R. Physical Review C, Vol. 62, Issue 5 https://doi.org/10.1103/PhysRevC.62.054311	journal	October 2000
Elastic Scattering of Protons by Helium at 5.78 Mev Kreger, W. E.; Jentschke, W.; Kruger, P. G. Physical Review, Vol. 93, Issue 4 https://doi.org/10.1103/PhysRev.93.837	journal	February 1954
Unified ab initio approach to bound and unbound states: No-core shell model with continuum and its application to $^{7}$ He Baroni, Simone; Navrátil, Petr; Quaglioni, Sofia Physical Review C, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevC.87.034326	journal	March 2013
Similarity renormalization group for nucleon-nucleon interactions Bogner, S. K.; Furnstahl, R. J.; Perry, R. J. Physical Review C, Vol. 75, Issue 6 https://doi.org/10.1103/PhysRevC.75.061001	journal	June 2007
Coupled-channel R-matrix method on a Lagrange mesh Hesse, M.; Sparenberg, J. -M.; Van Raemdonck, F. Nuclear Physics A, Vol. 640, Issue 1 https://doi.org/10.1016/S0375-9474(98)00435-7	journal	September 1998
Chiral three-nucleon force at N $^{4}$ LO: Longest-range contributions Krebs, H.; Gasparyan, A.; Epelbaum, E. Physical Review C, Vol. 85, Issue 5 https://doi.org/10.1103/PhysRevC.85.054006	journal	May 2012
Elastic scattering of protons by helium 4: New experiments and analysis Dodder, D. C.; Hale, G. M.; Jarmie, Nelson Physical Review C, Vol. 15, Issue 2 https://doi.org/10.1103/PhysRevC.15.518	journal	February 1977
Depth resolution and recoil cross section for analyzing hydrogen in solids using elastic recoil detection with 4He beam Nagata, S.; Yamaguchi, S.; Fujino, Y. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 6, Issue 3 https://doi.org/10.1016/0168-583X(85)90013-8	journal	February 1985
Elastic scattering cross-section of proton from helium at the laboratory angle of 165° Lu, Y. F.; Shi, L. Q.; He, Z. J. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 267, Issue 5 https://doi.org/10.1016/j.nimb.2009.01.011	journal	March 2009
Determination of H recoil cross-sections for He ions incident at 2.5–4.5 MeV and recoil angles from 30° to 60° Bogdanović Radović, I.; Benka, O. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 174, Issue 1-2 https://doi.org/10.1016/S0168-583X(00)00462-6	journal	March 2001
Cross-sections for the elastic recoil of hydrogen isotopes for high energy helium ions Browning, J. F.; Banks, J. C.; Wampler, W. R. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 219-220 https://doi.org/10.1016/j.nimb.2004.01.076	journal	June 2004
Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory Gazit, Doron; Quaglioni, Sofia; Navrátil, Petr Physical Review Letters, Vol. 103, Issue 10 https://doi.org/10.1103/PhysRevLett.103.102502	journal	September 2009
Neutron halo of ${}^{6}{He}$ in a microscopic model Csótó, Attila Physical Review C, Vol. 48, Issue 1 https://doi.org/10.1103/PhysRevC.48.165	journal	July 1993
Ab Initio Many-Body Calculations of $n − {}^{3}H$ , $n − {}^{4}{He}$ , $p − {}^{3, 4}{He}$ , and $n − {}^{10}{Be}$ Scattering Quaglioni, Sofia; Navrátil, Petr Physical Review Letters, Vol. 101, Issue 9 https://doi.org/10.1103/PhysRevLett.101.092501	journal	August 2008
Absolute cross section for forward recoiling hydrogen with 1.0–12.5 MeV 4He Keay, J. C.; Ingram, D. C. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 211, Issue 3 https://doi.org/10.1016/S0168-583X(03)01366-1	journal	November 2003
Elastic scattering cross sections for the p+He system in the energy region of 1.4–24 MeV Nurmela, A.; Rauhala, E.; Räisänen, J. Journal of Applied Physics, Vol. 82, Issue 5 https://doi.org/10.1063/1.366008	journal	September 1997
Flow-equations for Hamiltonians Wegner, Franz Annalen der Physik, Vol. 506, Issue 2 https://doi.org/10.1002/andp.19945060203	journal	January 1994
Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group Jurgenson, E. D.; Navrátil, P.; Furnstahl, R. J. Physical Review Letters, Vol. 103, Issue 8 https://doi.org/10.1103/PhysRevLett.103.082501	journal	August 2009
Solving the resonating-group equation on a Lagrange mesh Hesse, M.; Roland, J.; Baye, D. Nuclear Physics A, Vol. 709, Issue 1-4 https://doi.org/10.1016/S0375-9474(02)01040-0	journal	October 2002
Signatures of three-nucleon interactions in few-nucleon systems Kalantar-Nayestanaki, N.; Epelbaum, E.; Messchendorp, J. G. Reports on Progress in Physics, Vol. 75, Issue 1 https://doi.org/10.1088/0034-4885/75/1/016301	journal	December 2011

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Ab initio predictions for polarized deuterium-tritium thermonuclear fusion Hupin, Guillaume; Quaglioni, Sofia; Navrátil, Petr Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-018-08052-6	journal	January 2019
Microscopic 3-dimensional mapping of hydrogen bubbles in polycrystalline Al by elastic recoil detection analysis under transmission geometry Yamazaki, A.; Sasa, K.; Tomita, S. AIP Advances, Vol. 9, Issue 10 https://doi.org/10.1063/1.5099528	journal	October 2019

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