Universal behavior of -wave proton-proton fusion near threshold
Abstract
We calculate the -wave contribution to the proton-proton fusion S factor and its energy derivative in pionless effective-field theory (EFT) up to next-to-leading order. The leading contributions are given by a recoil piece from the Gamow-Teller and Fermi operators and from relativistic 1/ suppressed weak interaction operators. We obtain the value of (2.5 ± 0.3) × 10–28 MeV fm2 for the factor and (2.2 ± 0.2) × 10–26 fm2 for its energy derivative at threshold. Furthermore, these are smaller than the results of a prior study that employed chiral EFT by several orders of magnitude. We conclude that, contrary to what has been previously reported, the -wave contribution does not need to be considered in a high-precision determination of the factor at astrophysical energies. Combined with the chiral EFT calculation of Acharya et al. [Phys. Lett. B 760, 584 (2016)] for the -wave channel, this gives a total threshold factor of (0) = (4.047$$^{+0.024}_{–0.032}$$) × 10–23 MeV fm2.
- Authors:
-
- Johannes Gutenberg Univ. Mainz, Mainz (Germany); Univ. of Tennessee, Knoxville, TN (United States)
- Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Mississippi State Univ., Mississippi State, MS (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1564103
- Alternate Identifier(s):
- OSTI ID: 1558159
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 2; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Acharya, Bijaya, Platter, Lucas J., and Rupak, Gautam. Universal behavior of p-wave proton-proton fusion near threshold. United States: N. p., 2019.
Web. doi:10.1103/PhysRevC.100.021001.
Acharya, Bijaya, Platter, Lucas J., & Rupak, Gautam. Universal behavior of p-wave proton-proton fusion near threshold. United States. https://doi.org/10.1103/PhysRevC.100.021001
Acharya, Bijaya, Platter, Lucas J., and Rupak, Gautam. Mon .
"Universal behavior of p-wave proton-proton fusion near threshold". United States. https://doi.org/10.1103/PhysRevC.100.021001. https://www.osti.gov/servlets/purl/1564103.
@article{osti_1564103,
title = {Universal behavior of p-wave proton-proton fusion near threshold},
author = {Acharya, Bijaya and Platter, Lucas J. and Rupak, Gautam},
abstractNote = {We calculate the p-wave contribution to the proton-proton fusion S factor and its energy derivative in pionless effective-field theory (EFT) up to next-to-leading order. The leading contributions are given by a recoil piece from the Gamow-Teller and Fermi operators and from relativistic 1/m suppressed weak interaction operators. We obtain the value of (2.5 ± 0.3) × 10–28 MeV fm2 for the S factor and (2.2 ± 0.2) × 10–26 fm2 for its energy derivative at threshold. Furthermore, these are smaller than the results of a prior study that employed chiral EFT by several orders of magnitude. We conclude that, contrary to what has been previously reported, the p-wave contribution does not need to be considered in a high-precision determination of the S factor at astrophysical energies. Combined with the chiral EFT calculation of Acharya et al. [Phys. Lett. B 760, 584 (2016)] for the s-wave channel, this gives a total threshold S factor of S(0) = (4.047$^{+0.024}_{–0.032}$) × 10–23 MeV fm2.},
doi = {10.1103/PhysRevC.100.021001},
journal = {Physical Review C},
number = 2,
volume = 100,
place = {United States},
year = {2019},
month = {8}
}
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Works referenced in this record:
Erratum: Proton-Proton Weak Capture in Chiral Effective Field Theory [Phys. Rev. Lett. 110 , 192503 (2013)]
journal, July 2019
- Marcucci, L. E.; Schiavilla, R.; Viviani, M.
- Physical Review Letters, Vol. 123, Issue 1
Nucleon-nucleon effective field theory without pions
journal, July 1999
- Chen, Jiunn-Wei; Rupak, Gautam; Savage, Martin J.
- Nuclear Physics A, Vol. 653, Issue 4
Two-nucleon systems from effective field theory
journal, November 1998
- Kaplan, David B.; Savage, Martin J.; Wise, Mark B.
- Nuclear Physics B, Vol. 534, Issue 1-2
Proton-proton fusion in effective field theory
journal, August 2001
- Kong, Xinwei; Ravndal, Finn
- Physical Review C, Vol. 64, Issue 4
Near threshold proton–proton fusion in effective field theory
journal, March 2013
- Chen, Jiunn-Wei; Liu, C. -P.; Yu, Shen-Hsi
- Physics Letters B, Vol. 720, Issue 4-5
A new expansion for nucleon-nucleon interactions
journal, April 1998
- Kaplan, David B.; Savage, Martin J.; Wise, Mark B.
- Physics Letters B, Vol. 424, Issue 3-4
Review of Particle Physics
journal, August 2018
- Tanabashi, M.; Hagiwara, K.; Hikasa, K.
- Physical Review D, Vol. 98, Issue 3
Proton–proton fusion in effective field theory to fifth order
journal, November 2001
- Butler, Malcolm; Chen, Jiunn-Wei
- Physics Letters B, Vol. 520, Issue 1-2
Corrections to nucleon capture cross sections computed in truncated Hilbert spaces
journal, March 2017
- Acharya, B.; Ekström, A.; Odell, D.
- Physical Review C, Vol. 95, Issue 3
Effective field theory of short-range forces
journal, January 1999
- van Kolck, U.
- Nuclear Physics A, Vol. 645, Issue 2
Proton-Proton Weak Capture in Chiral Effective Field Theory
journal, May 2013
- Marcucci, L. E.; Schiavilla, R.; Viviani, M.
- Physical Review Letters, Vol. 110, Issue 19
Proton-proton fusion in leading order of effective field theory
journal, September 1999
- Kong, Xinwei; Ravndal, Finn
- Nuclear Physics A, Vol. 656, Issue 3-4
Erratum: Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory [Phys. Rev. Lett. 103 , 102502 (2009)]
journal, January 2019
- Gazit, Doron; Quaglioni, Sofia; Navrátil, Petr
- Physical Review Letters, Vol. 122, Issue 2
Uncertainty quantification for proton–proton fusion in chiral effective field theory
journal, September 2016
- Acharya, B.; Carlsson, B. D.; Ekström, A.
- Physics Letters B, Vol. 760
The Formation of Deuterons by Proton Combination
journal, August 1938
- Bethe, H. A.; Critchfield, C. L.
- Physical Review, Vol. 54, Issue 4
Solar fusion cross sections
journal, October 1998
- Adelberger, Eric G.; Austin, Sam M.; Bahcall, John N.
- Reviews of Modern Physics, Vol. 70, Issue 4
Effective-field-theory predictions of the muon-deuteron capture rate
journal, December 2018
- Acharya, Bijaya; Ekström, Andreas; Platter, Lucas
- Physical Review C, Vol. 98, Issue 6
Perturbative calculation of the electromagnetic form factors of the deuteron
journal, February 1999
- Kaplan, David B.; Savage, Martin J.; Wise, Mark B.
- Physical Review C, Vol. 59, Issue 2
A New Generation of Standard Solar Models
journal, January 2017
- Vinyoles, Núria; Serenelli, Aldo M.; Villante, Francesco L.
- The Astrophysical Journal, Vol. 835, Issue 2
Improving the convergence of NN effective field theory
journal, February 2000
- Phillips, Daniel R.; Rupak, Gautam; Savage, Martin J.
- Physics Letters B, Vol. 473, Issue 3-4
Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
journal, September 2009
- Gazit, Doron; Quaglioni, Sofia; Navrátil, Petr
- Physical Review Letters, Vol. 103, Issue 10
Works referencing / citing this record:
Complex-energy analysis of proton-proton fusion
journal, September 2019
- Gaspard, David; Sparenberg, Jean-Marc; Wenda, Quentin
- Physical Review C, Vol. 100, Issue 3
Complex-energy analysis of proton-proton fusion
text, January 2019
- Gaspard, David; Sparenberg, Jean-Marc; Wenda, Quentin
- arXiv