skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

This content will become publicly available on August 19, 2020

Title: Universal behavior of p -wave proton-proton fusion near threshold

Abstract

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 fm 2 for the S factor and (2.2 ± 0.2) × 10 –26 fm 2 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 fm 2.

Authors:
 [1];  [2];  [3]
  1. Johannes Gutenberg Univ. Mainz, Mainz (Germany); Univ. of Tennessee, Knoxville, TN (United States)
  2. Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  3. 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) (SC-26)
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. doi: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. doi:10.1103/PhysRevC.100.021001.
@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}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on August 19, 2020
Publisher's Version of Record

Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Erratum: Proton-Proton Weak Capture in Chiral Effective Field Theory [Phys. Rev. Lett. 110 , 192503 (2013)]
journal, July 2019


Nucleon-nucleon effective field theory without pions
journal, July 1999


Two-nucleon systems from effective field theory
journal, November 1998


Proton-proton fusion in effective field theory
journal, August 2001


Near threshold proton–proton fusion in effective field theory
journal, March 2013


A new expansion for nucleon-nucleon interactions
journal, April 1998


Review of Particle Physics
journal, August 2018


Proton–proton fusion in effective field theory to fifth order
journal, November 2001


Solar fusion cross sections. II. The p p chain and CNO cycles
journal, April 2011

  • Adelberger, E. G.; García, A.; Robertson, R. G. Hamish
  • Reviews of Modern Physics, Vol. 83, Issue 1
  • DOI: 10.1103/RevModPhys.83.195

Corrections to nucleon capture cross sections computed in truncated Hilbert spaces
journal, March 2017


Effective field theory of short-range forces
journal, January 1999


Proton-Proton Weak Capture in Chiral Effective Field Theory
journal, May 2013


Proton-proton fusion in leading order of effective field theory
journal, September 1999


Uncertainty quantification for proton–proton fusion in chiral effective field theory
journal, September 2016


The Formation of Deuterons by Proton Combination
journal, August 1938


Solar fusion cross sections
journal, October 1998

  • Adelberger, Eric G.; Austin, Sam M.; Bahcall, John N.
  • Reviews of Modern Physics, Vol. 70, Issue 4
  • DOI: 10.1103/RevModPhys.70.1265

Effective-field-theory predictions of the muon-deuteron capture rate
journal, December 2018


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
  • DOI: 10.1103/PhysRevC.59.617

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
  • DOI: 10.3847/1538-4357/835/2/202

Improving the convergence of NN effective field theory
journal, February 2000


Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
journal, September 2009