Weak capture of protons by protons

Schiavilla, R; Stoks, V G.J.; Glockle, W; Kamada, H; Nogga, A; Carlson, J; Machleidt, R

doi:10.1103/PhysRevC.58.1263

Title: Weak capture of protons by protons

Journal Article · Sat Aug 01 00:00:00 EDT 1998 · Phys.Rev. C58 (1998) 1263

DOI:https://doi.org/10.1103/PhysRevC.58.1263· OSTI ID:755923

Schiavilla, R; Stoks, V G.J.; Glockle, W; Kamada, H; Nogga, A; Carlson, J; Machleidt, R

The cross section for the proton weak capture reaction {sup 1}H(p,e{sup +}{nu}{sub e}){sup 2}H is calculated with wave functions obtained from a number of modern, realistic high-precision interactions. To minimize the uncertainty in the axial two-body current operator, its matrix element has been adjusted to reproduce the measured Gamow-Teller matrix element of tritium {beta} decay in model calculations using trinucleon wave functions from these interactions. A thorough analysis of the ambiguities that this procedure introduces in evaluating the two-body current contribution to the pp capture is given. Its inherent model dependence is in fact found to be very weak. The overlap integral {Lambda}{sup 2}(E=0) for the pp capture is predicted to be in the range 7.05--7.06, including the axial two-body current contribution, for all interactions considered.

View Journal Article

Cite

Export

Save

Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Energy Research (ER) (US)

DOE Contract Number:: AC05-84ER40150

OSTI ID:: 755923

Report Number(s):: DOE/ER/40150-1498; JLAB-THY-98-14; nucl-th/9808010; TRN: US0002601

Journal Information:: Phys.Rev. C58 (1998) 1263, Other Information: Submitted to Phys.Rev. C58 (1998) 1263; PBD: 1 Aug 1998

Country of Publication:: United States

Language:: English

References (45)

Weak proton capture reactions on ${}^{1}H$ and ${}^{3}{He}$ and tritium β decay Carlson, J.; Riska, D. O.; Schiavilla, R. Physical Review C, Vol. 44, Issue 2 https://doi.org/10.1103/PhysRevC.44.619	journal	August 1991
Quantum Monte Carlo calculations of nuclei with $A <~ 7$ Pudliner, B. S.; Pandharipande, V. R.; Carlson, J. Physical Review C, Vol. 56, Issue 4 https://doi.org/10.1103/PhysRevC.56.1720	journal	October 1997
Measurement of the neutron-proton total cross section at 132 eV Dilg, W. Physical Review C, Vol. 11, Issue 1 https://doi.org/10.1103/PhysRevC.11.103	journal	January 1975
Femtometer toroidal structures in nuclei Forest, J. L.; Pandharipande, V. R.; Pieper, Steven C. Physical Review C, Vol. 54, Issue 2 https://doi.org/10.1103/PhysRevC.54.646	journal	August 1996
Weak interactions in deuterons: Exchange currents and nucleon-nucleon interaction Dautry, F.; Rho, M.; Riska, D. O. Nuclear Physics A, Vol. 264, Issue 3 https://doi.org/10.1016/0375-9474(76)90420-6	journal	July 1976
Half-life of tritium and the Gamow-Teller transition rate Simpson, J. J. Physical Review C, Vol. 35, Issue 2 https://doi.org/10.1103/PhysRevC.35.752	journal	February 1987
Meson exchange currents in nuclear weak and electromagnetic interactions Chemtob, M.; Rho, M. Nuclear Physics A, Vol. 163, Issue 1 https://doi.org/10.1016/0375-9474(71)90520-3	journal	March 1971
Accurate nucleon-nucleon potential with charge-independence breaking Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R. Physical Review C, Vol. 51, Issue 1 https://doi.org/10.1103/PhysRevC.51.38	journal	January 1995
Meson and Quark Degrees of Freedom and the Radius of the Deuteron Buchmann, A. J.; Henning, H.; Sauer, P. U. Few-Body Systems, Vol. 21, Issue 3-4 https://doi.org/10.1007/s006010050045	journal	December 1996
Phase shift analysis of 0 – 30 MeV pp scattering data Bergervoet, J. R.; van Campen, P. C.; van der Sanden, W. A. Physical Review C, Vol. 38, Issue 1 https://doi.org/10.1103/PhysRevC.38.15	journal	July 1988
Proton-Proton Effective-Range Theory with Vacuum Polarization Heller, Leon Physical Review, Vol. 120, Issue 2 https://doi.org/10.1103/PhysRev.120.627	journal	October 1960
Quadrupole moment of the deuteron from a precise calculation of the electric field gradient in $D_{2}$ Bishop, David M.; Cheung, Lap M. Physical Review A, Vol. 20, Issue 2 https://doi.org/10.1103/PhysRevA.20.381	journal	August 1979
Meson-exchange currents in triton β-decay Ciechanowicz, S.; Truhlík, E. Nuclear Physics A, Vol. 414, Issue 3 https://doi.org/10.1016/0375-9474(84)90616-X	journal	February 1984
Interaction Contributions to the Solar Proton-Proton Reaction Gari, M.; Huffman, A. H. The Astrophysical Journal, Vol. 178 https://doi.org/10.1086/151814	journal	December 1972
Vacuum Polarization Effects in Proton-Proton Scattering Durand, Loyal Physical Review, Vol. 108, Issue 6 https://doi.org/10.1103/PhysRev.108.1597	journal	December 1957
Nonlocal nature of the nuclear force and its impact on nuclear structure Machleidt, R.; Sammarruca, F.; Song, Y. Physical Review C, Vol. 53, Issue 4 https://doi.org/10.1103/PhysRevC.53.R1483	journal	April 1996
Nucleon-nucleon potentials with and without $Δ (1232)$ degrees of freedom Wiringa, R. B.; Smith, R. A.; Ainsworth, T. L. Physical Review C, Vol. 29, Issue 4 https://doi.org/10.1103/PhysRevC.29.1207	journal	April 1984
Hydrogen-Deuterium $1 S - 2 S$ Isotope Shift and the Structure of the Deuteron Huber, A.; Udem, Th.; Gross, B. Physical Review Letters, Vol. 80, Issue 3 https://doi.org/10.1103/PhysRevLett.80.468	journal	January 1998
The Formation of Deuterons by Proton Combination Bethe, H. A.; Critchfield, C. L. Physical Review, Vol. 54, Issue 4 https://doi.org/10.1103/PhysRev.54.248	journal	August 1938
The two-pion-exchange three-nucleon potential and nuclear matter Coon, S. A.; Scadron, M. D.; McNamee, P. C. Nuclear Physics A, Vol. 317, Issue 1 https://doi.org/10.1016/0375-9474(79)90462-7	journal	April 1979
A measurement of the beta asymmetry A in the decay of free neutrons Abele, H.; Baeßler, S.; Dubbers, D. Physics Letters B, Vol. 407, Issue 3-4 https://doi.org/10.1016/S0370-2693(97)00739-9	journal	September 1997
New determination of the neutron-proton scattering amplitude and precise measurements of the scattering amplitudes on carbon, chlorine, fluorine and bromine Koester, L.; Nistler, W. Zeitschrift f�r Physik A: Atoms and Nuclei, Vol. 272, Issue 2 https://doi.org/10.1007/BF01408146	journal	June 1975
Triton beta decay Saito, T-Y.; Wu, Y.; Ishikawa, S. Physics Letters B, Vol. 242, Issue 1 https://doi.org/10.1016/0370-2693(90)91586-Z	journal	May 1990
Polarization Effects in the Positron Theory Uehling, E. A. Physical Review, Vol. 48, Issue 1 https://doi.org/10.1103/PhysRev.48.55	journal	July 1935
Relativistic Corrections for High-Energy $p - p$ Scattering Breit, G. Physical Review, Vol. 99, Issue 5 https://doi.org/10.1103/PhysRev.99.1581	journal	September 1955
The deuteron asymptotic D-state as a probe of the nucleon-nucleon force Ericson, T. E. O.; Rosa-Clot, M. Nuclear Physics A, Vol. 405, Issue 3 https://doi.org/10.1016/0375-9474(83)90516-X	journal	September 1983
Asymptotic D -state to S -state ratio of the deuteron Rodning, N. L.; Knutson, L. D. Physical Review C, Vol. 41, Issue 3 https://doi.org/10.1103/PhysRevC.41.898	journal	March 1990
Review of Particle Physics Barnett, R. M.; Carone, C. D.; Groom, D. E. Physical Review D, Vol. 54, Issue 1 https://doi.org/10.1103/PhysRevD.54.1	journal	July 1996
Construction of high-quality NN potential models Stoks, V. G. J.; Klomp, R. A. M.; Terheggen, C. P. F. Physical Review C, Vol. 49, Issue 6 https://doi.org/10.1103/PhysRevC.49.2950	journal	June 1994
Effects of Δ-isobar degrees of freedom on low-energy electroweak transitions in few-body nuclei Schiavilla, R.; Wiringa, R. B.; Pandharipande, V. R. Physical Review C, Vol. 45, Issue 6 https://doi.org/10.1103/PhysRevC.45.2628	journal	June 1992
Effect of vacuum polarization on the solar $p - p$ reaction rate Bohannon, G. E.; Heller, L. Physical Review C, Vol. 15, Issue 4 https://doi.org/10.1103/PhysRevC.15.1221	journal	April 1977
Neutron-Proton Scattering Cross Section at a Few Electron Volts and Charge Independence Houk, Theodore L. Physical Review C, Vol. 3, Issue 5 https://doi.org/10.1103/PhysRevC.3.1886	journal	May 1971
Cross section, polarization observables, and phase-shift parameters in p - d and n - d elastic scattering Kievsky, A.; Viviani, M.; Rosati, S. Physical Review C, Vol. 52, Issue 1 https://doi.org/10.1103/PhysRevC.52.R15	journal	July 1995
Nuclear Reactions in the Stars. I. Proton-Proton Chain Salpeter, E. E. Physical Review, Vol. 88, Issue 3 https://doi.org/10.1103/PhysRev.88.547	journal	November 1952
Quenching of spin matrix elements in nuclei Towner, I. S. Physics Reports, Vol. 155, Issue 5 https://doi.org/10.1016/0370-1573(87)90138-4	journal	November 1987
The rate of the proton-proton reaction Kamionkowshi, Marc; Bahcall, John N. The Astrophysical Journal, Vol. 420 https://doi.org/10.1086/173612	journal	January 1994
The deuteron binding energy Van Der Leun, C.; Alderliesten, C. Nuclear Physics A, Vol. 380, Issue 2 https://doi.org/10.1016/0375-9474(82)90105-1	journal	May 1982
Deuteron properties and the nucleon-nucleon interaction Klarsfeld, S.; Martorell, J.; Sprung, D. W. L. Journal of Physics G: Nuclear Physics, Vol. 10, Issue 2 https://doi.org/10.1088/0305-4616/10/2/008	journal	February 1984
Superallowed 0+ → 0+ nuclear β-decays: A critical survey with tests of CVC and the standard model Hardy, J. C.; Towner, I. S.; Koslowsky, V. T. Nuclear Physics A, Vol. 509, Issue 3 https://doi.org/10.1016/0375-9474(90)90086-2	journal	March 1990
Triton binding energies for modern NN forces and the π-π exchange three-nucleon force Nogga, A.; Hüber, D.; Kamada, H. Physics Letters B, Vol. 409, Issue 1-4 https://doi.org/10.1016/S0370-2693(97)00841-1	journal	September 1997
Quantum Monte Carlo Calculations of $A \leq 6$ Nuclei Pudliner, B. S.; Pandharipande, V. R.; Carlson, J. Physical Review Letters, Vol. 74, Issue 22 https://doi.org/10.1103/PhysRevLett.74.4396	journal	May 1995
The cross section for P + P - D + e(+) + nu(e) Gould, Robert J.; Guessoum, Nidhal The Astrophysical Journal, Vol. 359 https://doi.org/10.1086/185797	journal	August 1990
Faddeev calculations of the 2π -3N force contribution to the ${}^{3}H$ binding energy Chen, C. R.; Payne, G. L.; Friar, J. L. Physical Review C, Vol. 33, Issue 5 https://doi.org/10.1103/PhysRevC.33.1740	journal	May 1986
The Rate of the Proton-Proton Reaction Bahcall, John N.; May, Robert M. The Astrophysical Journal, Vol. 152 https://doi.org/10.1086/180169	journal	April 1968
Nuclear sizes and the isotope shift Friar, J. L.; Martorell, J.; Sprung, D. W. L. Physical Review A, Vol. 56, Issue 6 https://doi.org/10.1103/PhysRevA.56.4579	journal	December 1997

Similar Records

Weak capture of protons by protons

Journal Article · Sat Aug 01 00:00:00 EDT 1998 · Physical Review, C · OSTI ID:755923

Schiavilla, R; Stoks, V G; Gloeckle, W; +9 more

Weak Transitions in A=6 and 7 Nuclei

Journal Article · Mon Jan 01 00:00:00 EST 2001 · OSTI ID:755923

Schiavilla, R; Wiringa, R B

Weak Transitions in A=6 and 7 Nuclei

Journal Article · Wed May 01 00:00:00 EDT 2002 · Phys. Rev. C 65, 054302 (2002) (Print Issue of May 2002) · OSTI ID:755923

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
PROTON REACTIONS
HYDROGEN 1 TARGET
CAPTURE
WAVE FUNCTIONS
GAMOW-TELLER RULES
NEUTRINOS
HYDROGEN BURNING
MAIN SEQUENCE STARS
CROSS SECTIONS
DEUTERIUM

Title: Weak capture of protons by protons

Citation Formats

References (45)

Similar Records

Related Subjects