Models, measurements, and effective field theory: Proton capture on Be 7 at next-to-leading order

Zhang, Xilin; Nollett, Kenneth M.; Phillips, D. R.

doi:10.1103/PhysRevC.98.034616

Title: Models, measurements, and effective field theory: Proton capture on ${}^{7}{Be}$ at next-to-leading order

Journal Article · 28 September 2018 · Physical Review C

DOI: https://doi.org/10.1103/PhysRevC.98.034616 · OSTI ID:1474761

Zhang, Xilin; Nollett, Kenneth M.; Phillips, D. R.

Not Available

View Accepted Manuscript (Publisher)

Cite

Export

Save

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-93ER40756; FG02-97ER41014; SC0010300

OSTI ID:: 1474761

Journal Information:: Physical Review C, Journal Name: Physical Review C Journal Issue: 3 Vol. 98; ISSN PRVCAN; ISSN 2469-9985

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (80)

γ rays from an extranuclear direct capture process Christy, R. F.; Duck, Ian Nuclear Physics, Vol. 24, Issue 1 https://doi.org/10.1016/0029-5582(61)91019-7	journal	January 1961
Spectroscopic factors for the 1p shell Cohen, S.; Kurath, D. Nuclear Physics A, Vol. 101, Issue 1 https://doi.org/10.1016/0375-9474(67)90285-0	journal	September 1967
Proton capture by 7Be Aurdal, A. Nuclear Physics A, Vol. 146, Issue 2 https://doi.org/10.1016/0375-9474(70)90731-1	journal	May 1970
Reactions leading to the 7Li and 8Li systems: Shell model and R-matrix calculations Knox, H. D.; Resler, D. A.; Lane, R. O. Nuclear Physics A, Vol. 466, Issue 2 https://doi.org/10.1016/0375-9474(87)90441-6	journal	May 1987
The reaction in a microscopic three-cluster model Descouvemont, P.; Baye, D. Nuclear Physics A, Vol. 487, Issue 2 https://doi.org/10.1016/0375-9474(88)90621-5	journal	October 1988
Microscopic study of the 7Li(n, γ)8Li and 7Be(p, γ)8B reactions in a multiconfiguration three-cluster model Descouvemont, P.; Baye, D. Nuclear Physics A, Vol. 567, Issue 2 https://doi.org/10.1016/0375-9474(94)90153-8	journal	January 1994
The low-energy 7Be(p, γ)8B cross section from an R-matrix approach Barker, F. C. Nuclear Physics A, Vol. 588, Issue 3 https://doi.org/10.1016/0375-9474(95)00021-R	journal	June 1995
Effects of E2 transitions in the Coulomb dissociation of 8B Esbensen, H.; Bertsch, G. F. Nuclear Physics A, Vol. 600, Issue 1 https://doi.org/10.1016/0375-9474(96)00006-1	journal	April 1996
Coulomb corrections in non-relativistic scattering Hamilton, J.; Øverbö, I.; Tromborg, B. Nuclear Physics B, Vol. 60 https://doi.org/10.1016/0550-3213(73)90193-4	journal	January 1973
Off-shell effects in the energy dependence of the 7Be(p, γ)8B astrophysical S factor Csótó, Attila Physics Letters B, Vol. 394, Issue 3-4 https://doi.org/10.1016/S0370-2693(97)00031-2	journal	February 1997
A new expansion for nucleon-nucleon interactions Kaplan, David B.; Savage, Martin J.; Wise, Mark B. Physics Letters B, Vol. 424, Issue 3-4 https://doi.org/10.1016/S0370-2693(98)00210-X	journal	April 1998
A level of B and the BeB factor Barker, F. C.; Mukhamedzhanov, A. M. Nuclear Physics A, Vol. 673, Issue 1-4 https://doi.org/10.1016/S0375-9474(00)00134-2	journal	June 2000
NNLO corrections to nucleon–nucleon scattering and perturbative pions Fleming, Sean; Mehen, Thomas; Stewart, Iain W. Nuclear Physics A, Vol. 677, Issue 1-4 https://doi.org/10.1016/S0375-9474(00)00221-9	journal	September 2000
Rearranging pionless effective field theory Beane, Silas R.; Savage, Martin J. Nuclear Physics A, Vol. 694, Issue 3-4 https://doi.org/10.1016/S0375-9474(01)01088-0	journal	November 2001
Low energy behavior of the astrophysical S-factor in radiative captures to loosely bound final states Mukhamedzhanov, A. M.; Nunes, F. M. Nuclear Physics A, Vol. 708, Issue 3-4 https://doi.org/10.1016/S0375-9474(02)01011-4	journal	October 2002
Effective field theory for halo nuclei: shallow -wave states Bertulani, C. A.; Hammer, H. -W.; van Kolck, U. Nuclear Physics A, Vol. 712, Issue 1-2 https://doi.org/10.1016/S0375-9474(02)01270-8	journal	December 2002
Experimental determination of the Be+p scattering lengths Angulo, C.; Azzouz, M.; Descouvemont, P. Nuclear Physics A, Vol. 716 https://doi.org/10.1016/S0375-9474(02)01584-1	journal	March 2003
Higher-order effects in the Coulomb dissociation of 8B into 7Be + p Typel, S.; Wolter, H. H.; Baur, G. Nuclear Physics A, Vol. 613, Issue 1-2 https://doi.org/10.1016/S0375-9474(96)00415-0	journal	January 1997
Uncertainties in the ground state structure of 8B and implications for the S17 astrophysical S-factor Nunes, F. M.; Crespo, R.; Thompson, I. J. Nuclear Physics A, Vol. 615, Issue 1 https://doi.org/10.1016/S0375-9474(96)00466-6	journal	March 1997
Effective field theory of short-range forces van Kolck, U. Nuclear Physics A, Vol. 645, Issue 2 https://doi.org/10.1016/S0375-9474(98)00612-5	journal	January 1999
Study of the 7Be(p, γ)8B and 7Li(n, γ)8Li capture reactions using the shell model embedded in the continuum Bennaceur, K.; Nowacki, F.; Okołowicz, J. Nuclear Physics A, Vol. 651, Issue 3 https://doi.org/10.1016/S0375-9474(99)00133-5	journal	May 1999
E2 contributions to the 7Be(p,γ)8B cross section Barker, F. C. Nuclear Physics A, Vol. 660, Issue 3 https://doi.org/10.1016/S0375-9474(99)00389-9	journal	November 1999
Coulomb effects in low energy proton–proton scattering Kong, Xinwei; Ravndal, Finn Nuclear Physics A, Vol. 665, Issue 1-2 https://doi.org/10.1016/S0375-9474(99)00406-6	journal	February 2000
More effective field theory for non-relativistic scattering Kaplan, David B. Nuclear Physics B, Vol. 494, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00178-8	journal	June 1997
Two-nucleon systems from effective field theory Kaplan, David B.; Savage, Martin J.; Wise, Mark B. Nuclear Physics B, Vol. 534, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00440-4	journal	November 1998
Radiative capture of nucleons at astrophysical energies with single-particle states Huang, J. T.; Bertulani, C. A.; Guimarães, V. Atomic Data and Nuclear Data Tables, Vol. 96, Issue 6 https://doi.org/10.1016/j.adt.2010.06.004	journal	November 2010
Range corrections in proton halo nuclei Ryberg, Emil; Forssén, Christian; Hammer, H. -W. Annals of Physics, Vol. 367 https://doi.org/10.1016/j.aop.2016.01.008	journal	April 2016
αα scattering in halo effective field theory Higa, R.; Hammer, H. -W.; van Kolck, U. Nuclear Physics A, Vol. 809, Issue 3-4 https://doi.org/10.1016/j.nuclphysa.2008.06.003	journal	September 2008
Electric properties of the Beryllium-11 system in Halo EFT Hammer, H. -W.; Phillips, D. R. Nuclear Physics A, Vol. 865, Issue 1 https://doi.org/10.1016/j.nuclphysa.2011.06.028	journal	August 2011
Narrow resonances in effective field theory Bedaque, P. F.; Hammer, H. -W.; van Kolck, U. Physics Letters B, Vol. 569, Issue 3-4 https://doi.org/10.1016/j.physletb.2003.07.049	journal	September 2003
Ab initio many-body calculation of the Be7(p,γ)B8 radiative capture Navrátil, Petr; Roth, Robert; Quaglioni, Sofia Physics Letters B, Vol. 704, Issue 5 https://doi.org/10.1016/j.physletb.2011.09.079	journal	October 2011
Halo effective field theory constrains the solar 7Be + p → 8B + γ rate Zhang, Xilin; Nollett, Kenneth M.; Phillips, D. R. Physics Letters B, Vol. 751 https://doi.org/10.1016/j.physletb.2015.11.005	journal	December 2015
How well do we understand ⁷ Be + p → ⁸ B + γ ? An Effective Field Theory perspective Zhang, Xilin; Nollett, Kenneth M.; Phillips, D. R. EPJ Web of Conferences, Vol. 113 https://doi.org/10.1051/epjconf/201611306001	journal	January 2016
The 7Be(p, ?)8B Cross Section at Low Energies Barker, Fc Australian Journal of Physics, Vol. 33, Issue 2 https://doi.org/10.1071/PH800177a	journal	January 1980
The fate of Be-7 in the sun Johnson, C. W.; Kolbe, E.; Koonin, S. E. The Astrophysical Journal, Vol. 392 https://doi.org/10.1086/171431	journal	June 1992
Causality constraints for charged particles König, Sebastian; Lee, Dean; Hammer, H-W Journal of Physics G: Nuclear and Particle Physics, Vol. 40, Issue 4 https://doi.org/10.1088/0954-3899/40/4/045106	journal	March 2013
Effective field theory description of halo nuclei Hammer, H-W; Ji, C.; Phillips, D. R. Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 10 https://doi.org/10.1088/1361-6471/aa83db	journal	September 2017
The Ame2012 atomic mass evaluation Audi, G.; Wang, M.; Wapstra, A. H. Chinese Physics C, Vol. 36, Issue 12 https://doi.org/10.1088/1674-1137/36/12/002	journal	December 2012
The AME2016 atomic mass evaluation (II). Tables, graphs and references Wang, Meng; Audi, G.; Kondev, F. G. Chinese Physics C, Vol. 41, Issue 3 https://doi.org/10.1088/1674-1137/41/3/030003	journal	March 2017
Note on the Interaction Between Nuclei and Electromagnetic Radiation Siegert, A. J. F. Physical Review, Vol. 52, Issue 8 https://doi.org/10.1103/PhysRev.52.787	journal	October 1937
On the Interpretation of Resonance Levels and Their Widths in Terms of the Scattering Length and the Effective Range Teichmann, T. Physical Review, Vol. 83, Issue 1 https://doi.org/10.1103/PhysRev.83.141	journal	July 1951
Proton capture cross section of Be 7 and the flux of high energy solar neutrinos Filippone, B. W.; Elwyn, A. J.; Davids, C. N. Physical Review C, Vol. 28, Issue 6 https://doi.org/10.1103/PhysRevC.28.2222	journal	December 1983
Radiative capture reaction ( p 7 ,γ ) 8 B at low energies Kim, K. H.; Park, M. H.; Kim, B. T. Physical Review C, Vol. 35, Issue 1 https://doi.org/10.1103/PhysRevC.35.363	journal	January 1987
Be 7 ( p ,γ ) 8 B cross section and the properties of Be 7 Csótó, A.; Langanke, K.; Koonin, S. E. Physical Review C, Vol. 52, Issue 2 https://doi.org/10.1103/PhysRevC.52.1130	journal	August 1995
Extrapolation of the astrophysical S factor for 7 Be ( p , γ ) 8 B to solar energies Jennings, B. K.; Karataglidis, S.; Shoppa, T. D. Physical Review C, Vol. 58, Issue 6 https://doi.org/10.1103/PhysRevC.58.3711	journal	December 1998
Higher-order multipolarities in the 16 O ( p , γ ) 17 F and 7 Be ( p , γ ) 8 B reactions Descouvemont, P.; Baye, D. Physical Review C, Vol. 60, Issue 1 https://doi.org/10.1103/PhysRevC.60.015803	journal	June 1999
Zero-energy determination of the astrophysical S factor and effective-range expansions Baye, D.; Brainis, E. Physical Review C, Vol. 61, Issue 2 https://doi.org/10.1103/PhysRevC.61.025801	journal	January 2000
Role of spectroscopic factors in the potential-model description of the 7 Be ( p , γ ) 8 B reaction Csótó, Attila Physical Review C, Vol. 61, Issue 3 https://doi.org/10.1103/PhysRevC.61.037601	journal	February 2000
Behavior of the 7 Be ( p , γ ) 8 B astrophysical S factor near zero energy Baye, D. Physical Review C, Vol. 62, Issue 6 https://doi.org/10.1103/PhysRevC.62.065803	journal	November 2000
Determination of S 17 from the 7 Be ( d , n ) 8 B reaction Ogata, Kazuyuki; Yahiro, Masanobu; Iseri, Yasunori Physical Review C, Vol. 67, Issue 1 https://doi.org/10.1103/PhysRevC.67.011602	journal	January 2003
Effective theory of the Δ ( 1232 ) resonance in Compton scattering off the nucleon Pascalutsa, Vladimir; Phillips, Daniel R. Physical Review C, Vol. 67, Issue 5 https://doi.org/10.1103/PhysRevC.67.055202	journal	May 2003
New measurement of the proton capture rate on 7 Be and the S 17 ( 0 ) factor Baby, L. T.; Bordeanu, C.; Goldring, G. Physical Review C, Vol. 67, Issue 6 https://doi.org/10.1103/PhysRevC.67.065805	journal	June 2003
Electromagnetic dissociation of B 8 and the astrophysical S factor for Be 7 ( p , γ ) 8 B Davids, B.; Typel, S. Physical Review C, Vol. 68, Issue 4 https://doi.org/10.1103/PhysRevC.68.045802	journal	October 2003
Proton Capture by Be 7 and the Solar Neutrino Problem Robertson, R. G. H. Physical Review C, Vol. 7, Issue 2 https://doi.org/10.1103/PhysRevC.7.543	journal	February 1973
Constraints on the Be 7 ( p , γ ) B 8 radiative capture rate from charge symmetry Esbensen, Henning Physical Review C, Vol. 70, Issue 4 https://doi.org/10.1103/PhysRevC.70.047603	journal	October 2004
Reanalysis of the Be 7 ( p , γ ) B 8 S factor in a microscopic model Descouvemont, P. Physical Review C, Vol. 70, Issue 6 https://doi.org/10.1103/PhysRevC.70.065802	journal	December 2004
Astrophysical S 17 (0) factor from a measurement of the H 2 ( Be 7 , B 8 ) n reaction at E c . m . = 4 . 5 MeV Das, J. J.; Datar, V. M.; Sugathan, P. Physical Review C, Vol. 73, Issue 1 https://doi.org/10.1103/PhysRevC.73.015808	journal	January 2006
Scattering of Be 7 and B 8 and the astrophysical S 17 factor Tabacaru, G.; Azhari, A.; Brinkley, J. Physical Review C, Vol. 73, Issue 2 https://doi.org/10.1103/PhysRevC.73.025808	journal	February 2006
Be 7 ( p , γ ) B 8 S factor from ab initio no-core shell model wave functions Navrátil, P.; Bertulani, C. A.; Caurier, E. Physical Review C, Vol. 73, Issue 6 https://doi.org/10.1103/PhysRevC.73.065801	journal	June 2006
Updated S factors for the Be 7 ( p , γ ) B 8 reaction Junghans, A. R.; Snover, K. A.; Mohrmann, E. C. Physical Review C, Vol. 81, Issue 1 https://doi.org/10.1103/PhysRevC.81.012801	journal	January 2010
Asymptotic normalization coefficients from ab initio calculations Nollett, Kenneth M.; Wiringa, R. B. Physical Review C, Vol. 83, Issue 4 https://doi.org/10.1103/PhysRevC.83.041001	journal	April 2011
Effective field theory for proton halo nuclei Ryberg, Emil; Forssén, Christian; Hammer, H. -W. Physical Review C, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevC.89.014325	journal	January 2014
Effective field theory as a limit of R -matrix theory for light nuclear reactions Hale, Gerald M.; Brown, Lowell S.; Paris, Mark W. Physical Review C, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevC.89.014623	journal	January 2014
Combining ab initio calculations and low-energy effective field theory for halo nuclear systems: The case of 7 Li + n → 8 Li + γ Zhang, Xilin; Nollett, Kenneth M.; Phillips, D. R. Physical Review C, Vol. 89, Issue 2 https://doi.org/10.1103/PhysRevC.89.024613	journal	February 2014
Combining ab initio calculations and low-energy effective field theory for halo nuclear systems: The case of Be 7 + p → B 8 + γ Zhang, Xilin; Nollett, Kenneth M.; Phillips, D. R. Physical Review C, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRevC.89.051602	journal	May 2014
Description of the proton and neutron radiative capture reactions in the Gamow shell model Fossez, K.; Michel, N.; Płoszajczak, M. Physical Review C, Vol. 91, Issue 3 https://doi.org/10.1103/PhysRevC.91.034609	journal	March 2015
Asymptotic normalization coefficients for Be 7 + p → B 8 from the peripheral Be 7 ( d , n ) B 8 reaction and their astrophysical application Tojiboev, O. R.; Yarmukhamedov, R.; Artemov, S. V. Physical Review C, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevC.94.054616	journal	November 2016
Bound states and power counting in effective field theories Luke, Michael; Manohar, Aneesh V. Physical Review D, Vol. 55, Issue 7 https://doi.org/10.1103/PhysRevD.55.4129	journal	April 1997
Model-Independent Calculation of Radiative Neutron Capture on Lithium-7 Rupak, Gautam; Higa, Renato Physical Review Letters, Vol. 106, Issue 22 https://doi.org/10.1103/PhysRevLett.106.222501	journal	May 2011
Overall Normalization of the Astrophysical S Factor and the Nuclear Vertex Constant for Be 7 ( p , γ ) 8 B Reactions Xu, H. M.; Gagliardi, C. A.; Tribble, R. E. Physical Review Letters, Vol. 73, Issue 15 https://doi.org/10.1103/PhysRevLett.73.2027	journal	October 1994
Angular Distribution for the 7 Be( d , n ) 8 B Reaction at E c . m . = 5.8 MeV and the S 17 (0) Factor for the 7 Be( p , γ ) 8 B Reaction Liu, Weiping; Bai, Xixiang; Zhou, Shuhua Physical Review Letters, Vol. 77, Issue 4 https://doi.org/10.1103/PhysRevLett.77.611	journal	July 1996
Comment on “Angular Distribution for the 7 Be ( d , n ) 8 B Reaction at E c . m . = 5.8 MeV and the S 17 ( 0 ) Factor for the 7 Be ( p , γ ) 8 B Reaction” Gagliardi, C. A.; Mukhamedzhanov, A. M.; Tribble, R. E. Physical Review Letters, Vol. 80, Issue 2 https://doi.org/10.1103/PhysRevLett.80.421	journal	January 1998
New Measurement and Analysis of the B 7 e ( p , γ ) B 8 Cross Section Hammache, F.; Bogaert, G.; Aguer, P. Physical Review Letters, Vol. 80, Issue 5 https://doi.org/10.1103/PhysRevLett.80.928	journal	February 1998
Low-Energy Measurement of the B 7 e ( p , γ ) B 8 Cross Section Hammache, F.; Bogaert, G.; Aguer, P. Physical Review Letters, Vol. 86, Issue 18 https://doi.org/10.1103/PhysRevLett.86.3985	journal	April 2001
Precision Measurement of the B e 7 ( p , γ ) B 8 Cross Section with an Implanted B e 7 Target Baby, L. T.; Bordeanu, C.; Goldring, G. Physical Review Letters, Vol. 90, Issue 2 https://doi.org/10.1103/PhysRevLett.90.022501	journal	January 2003
Solar fusion cross sections. II. The p p chain and CNO cycles Adelberger, E. G.; García, A.; Robertson, R. G. Hamish Reviews of Modern Physics, Vol. 83, Issue 1 https://doi.org/10.1103/RevModPhys.83.195	journal	April 2011
Is the strong-interaction proton-proton scattering length renormalization scale dependent in effective field theory? Gegelia, J. The European Physical Journal A, Vol. 19, Issue 3 https://doi.org/10.1140/epja/i2003-10132-1	journal	March 2004
Universal properties and structure of halo nuclei Canham, David L.; Hammer, H. -W. The European Physical Journal A, Vol. 37, Issue 3 https://doi.org/10.1140/epja/i2008-10632-4	journal	August 2008
Constraining low-energy proton capture on beryllium-7 through charge radius measurements Ryberg, Emil; Forssén, Christian; Hammer, H. -W. The European Physical Journal A, Vol. 50, Issue 11 https://doi.org/10.1140/epja/i2014-14170-2	journal	November 2014
Solar Neutrinos: Status and Prospects Haxton, W. C.; Hamish Robertson, R. G.; Serenelli, Aldo M. Annual Review of Astronomy and Astrophysics, Vol. 51, Issue 1 https://doi.org/10.1146/annurev-astro-081811-125539	journal	August 2013