Muon capture in nuclei: An ab initio approach based on Green's function Monte Carlo methods
Abstract
An ab initio Green's function Monte Carlo (GFMC) method is introduced for calculating total rates of muon weak capture in light nuclei with mass number $A ≤ 12$. As a first application of the method, we perform a calculation of the rate in $^3$$$$\textbf{H}$$ and $^4$$$$\textbf{He}$$ in a dynamical framework based on realistic two- and three-nucleon interactions and realistic nuclear charge-changing weak currents. The currents include one- and two-body terms induced by $$π$$- and $$ρ$$-meson exchange, and $$N$$-to-$$Δ$$ excitation, and are constrained to reproduce the empirical value of the Gamow-Teller matrix element in tritium. We investigate the sensitivity of theoretical predictions to current parametrizations of the nucleon axial and induced pseudoscalar form factors as well as to two-body contributions in the weak currents. The large uncertainties in the measured $^4$$$$\textbf{He}$$ rates obtained from bubble-chamber experiments (carried out over 50 years ago) prevent us from drawing any definite conclusions. No data exist for $^3$$$$\textbf{H}$$, but results are compared to those of a recent Faddeev calculation as a validation of the present GFMC method.
- Authors:
-
- INFN-TIFPA Trento Inst. of Fundamental Physics and Applications, Trento (Italy); Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division
- Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division; Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States). Theoretical Physics Dept.
- Old Dominion Univ., Norfolk, VA (United States). Dept. of Physics; Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Publication Date:
- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1566122
- Grant/Contract Number:
- AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 3; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Lovato, A., Rocco, N., and Schiavilla, R. Muon capture in nuclei: An ab initio approach based on Green's function Monte Carlo methods. United States: N. p., 2019.
Web. doi:10.1103/PhysRevC.100.035502.
Lovato, A., Rocco, N., & Schiavilla, R. Muon capture in nuclei: An ab initio approach based on Green's function Monte Carlo methods. United States. https://doi.org/10.1103/PhysRevC.100.035502
Lovato, A., Rocco, N., and Schiavilla, R. Thu .
"Muon capture in nuclei: An ab initio approach based on Green's function Monte Carlo methods". United States. https://doi.org/10.1103/PhysRevC.100.035502. https://www.osti.gov/servlets/purl/1566122.
@article{osti_1566122,
title = {Muon capture in nuclei: An ab initio approach based on Green's function Monte Carlo methods},
author = {Lovato, A. and Rocco, N. and Schiavilla, R.},
abstractNote = {An ab initio Green's function Monte Carlo (GFMC) method is introduced for calculating total rates of muon weak capture in light nuclei with mass number $A ≤ 12$. As a first application of the method, we perform a calculation of the rate in $^3$$\textbf{H}$ and $^4$$\textbf{He}$ in a dynamical framework based on realistic two- and three-nucleon interactions and realistic nuclear charge-changing weak currents. The currents include one- and two-body terms induced by $π$- and $ρ$-meson exchange, and $N$-to-$Δ$ excitation, and are constrained to reproduce the empirical value of the Gamow-Teller matrix element in tritium. We investigate the sensitivity of theoretical predictions to current parametrizations of the nucleon axial and induced pseudoscalar form factors as well as to two-body contributions in the weak currents. The large uncertainties in the measured $^4$$\textbf{He}$ rates obtained from bubble-chamber experiments (carried out over 50 years ago) prevent us from drawing any definite conclusions. No data exist for $^3$$\textbf{H}$, but results are compared to those of a recent Faddeev calculation as a validation of the present GFMC method.},
doi = {10.1103/PhysRevC.100.035502},
journal = {Physical Review C},
number = 3,
volume = 100,
place = {United States},
year = {Thu Sep 12 00:00:00 EDT 2019},
month = {Thu Sep 12 00:00:00 EDT 2019}
}
Web of Science
Works referenced in this record:
Accurate nucleon-nucleon potential with charge-independence breaking
journal, January 1995
- Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R.
- Physical Review C, Vol. 51, Issue 1
Erratum: Nuclear axial currents in chiral effective field theory [Phys. Rev. C 93 , 015501 (2016)]
journal, May 2017
- Baroni, A.; Girlanda, L.; Pastore, S.
- Physical Review C, Vol. 95, Issue 5
Muon capture on
journal, September 2016
- Golak, J.; Skibiński, R.; Witała, H.
- Physical Review C, Vol. 94, Issue 3
Muon capture, continuum random phase approximation, and in-medium renormalization of the axial-vector coupling constant
journal, November 1994
- Kolbe, E.; Langanke, K.; Vogel, P.
- Physical Review C, Vol. 50, Issue 5
Weak capture of protons by protons
journal, August 1998
- Schiavilla, R.; Stoks, V. G. J.; Glöckle, W.
- Physical Review C, Vol. 58, Issue 2
Measurement of Muon Capture on the Proton to 1% Precision and Determination of the Pseudoscalar Coupling
journal, January 2013
- Andreev, V. A.; Banks, T. I.; Carey, R. M.
- Physical Review Letters, Vol. 110, Issue 1
Quasielastic neutrino scattering: A measurement of the weak nucleon axial-vector form factor
journal, June 1981
- Baker, N. J.; Cnops, A. M.; Connolly, P. L.
- Physical Review D, Vol. 23, Issue 11
High-energy quasielastic scattering in deuterium
journal, August 1983
- Kitagaki, T.; Tanaka, S.; Yuta, H.
- Physical Review D, Vol. 28, Issue 3
Chiral Effective Field Theory Predictions for Muon Capture on Deuteron and
journal, January 2012
- Marcucci, L. E.; Kievsky, A.; Rosati, S.
- Physical Review Letters, Vol. 108, Issue 5
Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data
journal, May 1996
- Jarrell, Mark; Gubernatis, J. E.
- Physics Reports, Vol. 269, Issue 3
Green’s function Monte Carlo study of light nuclei
journal, November 1987
- Carlson, J.
- Physical Review C, Vol. 36, Issue 5
Relativistic quasiparticle random-phase approximation calculation of total muon capture rates
journal, May 2009
- Marketin, T.; Paar, N.; Nikšić, T.
- Physical Review C, Vol. 79, Issue 5
Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term
journal, October 2018
- Baroni, A.; Schiavilla, R.; Marcucci, L. E.
- Physical Review C, Vol. 98, Issue 4
Charge Form Factor and Sum Rules of Electromagnetic Response Functions in
journal, August 2013
- Lovato, A.; Gandolfi, S.; Butler, Ralph
- Physical Review Letters, Vol. 111, Issue 9
Electromagnetic Response of : A First-Principles Calculation
journal, August 2016
- Lovato, A.; Gandolfi, S.; Carlson, J.
- Physical Review Letters, Vol. 117, Issue 8
Chiral dynamics and heavy-fermion formalism in nuclei: exchange axial currents
journal, October 1993
- Park, Tae-Sun; Min, Dong-Pil; Rho, Mannque
- Physics Reports, Vol. 233, Issue 6
Electromagnetic reactions on light nuclei
journal, November 2014
- Bacca, Sonia; Pastore, Saori
- Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 12
Discrepancy between experimental and theoretical β-decay rates resolved from first principles
journal, March 2019
- Gysbers, P.; Hagen, G.; Holt, J. D.
- Nature Physics, Vol. 15, Issue 5
Electromagnetic currents and magnetic moments in chiral effective field theory
journal, September 2009
- Pastore, S.; Girlanda, L.; Schiavilla, R.
- Physical Review C, Vol. 80, Issue 3
Quantum Monte Carlo calculation of neutral-current inclusive quasielastic scattering
journal, February 2018
- Lovato, A.; Gandolfi, S.; Carlson, J.
- Physical Review C, Vol. 97, Issue 2
Two-nucleon electromagnetic charge operator in chiral effective field theory ( EFT) up to one loop
journal, August 2011
- Pastore, S.; Girlanda, L.; Schiavilla, R.
- Physical Review C, Vol. 84, Issue 2
Quantum Monte Carlo calculations of weak transitions in nuclei
journal, February 2018
- Pastore, S.; Baroni, A.; Carlson, J.
- Physical Review C, Vol. 97, Issue 2
Chiral Lagrangian approach to exchange vector currents in nuclei
journal, January 1996
- Park, Tae-Sun; Min, Dong-Pil; Rho, Mannque
- Nuclear Physics A, Vol. 596, Issue 3-4
Study of the reaction
journal, August 1982
- Miller, K. L.; Barish, S. J.; Engler, A.
- Physical Review D, Vol. 26, Issue 3
Nuclear axial currents in chiral effective field theory
journal, January 2016
- Baroni, A.; Girlanda, L.; Pastore, S.
- Physical Review C, Vol. 93, Issue 1
QCD accurately predicts the induced pseudoscalar coupling constant
journal, December 1994
- Bernard, V.; Kaiser, N.; Meissner, Ulf-G.
- Physical Review D, Vol. 50, Issue 11
Erratum: Chiral Effective Field Theory Predictions for Muon Capture on Deuteron and [Phys. Rev. Lett. 108 , 052502 (2012)]
journal, July 2018
- Marcucci, L. E.; Kievsky, A.; Rosati, S.
- Physical Review Letters, Vol. 121, Issue 4
Nuclear axial current operators to fourth order in chiral effective field theory
journal, March 2017
- Krebs, H.; Epelbaum, E.; Meißner, U. -G.
- Annals of Physics, Vol. 378
Euclidean proton response in light nuclei
journal, June 1992
- Carlson, J.; Schiavilla, R.
- Physical Review Letters, Vol. 68, Issue 25
Theoretical study of capture
journal, November 2002
- Marcucci, L. E.; Schiavilla, R.; Rosati, S.
- Physical Review C, Vol. 66, Issue 5
Two-nucleon electromagnetic current in chiral effective field theory: One-pion exchange and short-range contributions
journal, November 2011
- Kölling, S.; Epelbaum, E.; Krebs, H.
- Physical Review C, Vol. 84, Issue 5
Structure and dynamics of few-nucleon systems
journal, July 1998
- Carlson, J.; Schiavilla, R.
- Reviews of Modern Physics, Vol. 70, Issue 3
The total capture rate of negative muons in4He
journal, June 1968
- Block, M. M.; Kikuchi, T.; Koetke, D.
- Il Nuovo Cimento A, Vol. 55, Issue 3
Superallowed nuclear decays: 2014 critical survey, with precise results for and CKM unitarity
journal, February 2015
- Hardy, J. C.; Towner, I. S.
- Physical Review C, Vol. 91, Issue 2
Muon capture on deuteron and
journal, January 2011
- Marcucci, L. E.; Piarulli, M.; Viviani, M.
- Physical Review C, Vol. 83, Issue 1
Muon capture on nuclei: Random phase approximation evaluation versus data for nuclei
journal, August 2006
- Zinner, N. T.; Langanke, K.; Vogel, P.
- Physical Review C, Vol. 74, Issue 2
Electromagnetic form Factors of the Nucleon and Compton Scattering
journal, December 2004
- Hyde-Wright, Charles Earl; de Jager, Kees
- Annual Review of Nuclear and Particle Science, Vol. 54, Issue 1
Measurement of neutrino-proton and antineutrino-proton elastic scattering
journal, February 1987
- Ahrens, L. A.; Aronson, S. H.; Connolly, P. L.
- Physical Review D, Vol. 35, Issue 3
Experimental determination of the total capture rate of negative muons in4He
journal, September 1964
- Bizzarri, R.; Capua, E.; Dore, U.
- Il Nuovo Cimento, Vol. 33, Issue 6
Induced pseudoscalar form factor of the nucleon at two-loop order in chiral perturbation theory
journal, February 2003
- Kaiser, N.
- Physical Review C, Vol. 67, Issue 2
Quenching of spin matrix elements in nuclei
journal, November 1987
- Towner, I. S.
- Physics Reports, Vol. 155, Issue 5
Inclusive neutrino scattering off the deuteron from threshold to GeV energies
journal, September 2012
- Shen, G.; Marcucci, L. E.; Carlson, J.
- Physical Review C, Vol. 86, Issue 3
Electromagnetic structure of and 3 nuclei in chiral effective field theory
journal, January 2013
- Piarulli, M.; Girlanda, L.; Marcucci, L. E.
- Physical Review C, Vol. 87, Issue 1
Axial structure of the nucleon
journal, November 2001
- Bernard, Véronique; Elouadrhiri, Latifa; Meißner, Ulf-G
- Journal of Physics G: Nuclear and Particle Physics, Vol. 28, Issue 1
The Illinois Extension to the Fujita-Miyazawa Three-Nucleon Force
conference, January 2008
- Pieper, Steven C.; Sakai, Hideyuki; Sekiguchi, Kimiko
- POLARIZED ANTIPROTON BEAMS - HOW: An International Workshop, AIP Conference Proceedings
The nuclear physics of muon capture
journal, November 2001
- Measday, D. F.
- Physics Reports, Vol. 354, Issue 4-5
Determination of the nucleon pseudoscalar coupling using muon capture by 3He
journal, February 1993
- Congleton, J. G.; Fearing, H. W.
- Nuclear Physics A, Vol. 552, Issue 4
Nuclear muon capture by : Meson exchange currents for the triton channel
journal, February 1996
- Congleton, J. G.; Truhlík, E.
- Physical Review C, Vol. 53, Issue 2
Measurements of the Muon-Capture Rate in and
journal, April 1965
- Auerbach, Leonard B.; Esterling, Robert J.; Hill, Roger E.
- Physical Review, Vol. 138, Issue 1B
Electromagnetic and neutral-weak response functions of and
journal, June 2015
- Lovato, A.; Gandolfi, S.; Carlson, J.
- Physical Review C, Vol. 91, Issue 6
A precision measurement of nuclear muon capture on 3He
journal, January 1998
- Ackerbauer, P.; Balin, D. V.; Baturin, V. M.
- Physics Letters B, Vol. 417, Issue 3-4
Break-up channels in muon capture on
journal, August 2014
- Golak, J.; Skibiński, R.; Witała, H.
- Physical Review C, Vol. 90, Issue 2
Quantum Monte Carlo methods for nuclear physics
journal, September 2015
- Carlson, J.; Gandolfi, S.; Pederiva, F.
- Reviews of Modern Physics, Vol. 87, Issue 3
Erratum: Nuclear axial currents in chiral effective field theory [Phys. Rev. C 93 , 015501 (2016)]
journal, April 2016
- Baroni, A.; Girlanda, L.; Pastore, S.
- Physical Review C, Vol. 93, Issue 4
Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
journal, October 2009
- Kölling, S.; Epelbaum, E.; Krebs, H.
- Physical Review C, Vol. 80, Issue 4
Muonium decay
journal, February 2000
- Czarnecki, Andrzej; Lepage, G. Peter; Marciano, William J.
- Physical Review D, Vol. 61, Issue 7
Review of Particle Physics
text, January 2018
- Tanabashi, M.; Hagiwara, K.; Hikasa, K.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Review of Particle Physics
text, January 2012
- Beringer, J.; Arguin, J.; Barnett, R.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
text, January 2009
- Koelling, S.; Epelbaum, E.; Krebs, H.
- arXiv
Two-nucleon electromagnetic current in chiral effective field theory: one-pion exchange and short-range contributions
text, January 2011
- Koelling, S.; Epelbaum, E.; Krebs, H.
- arXiv
Inclusive neutrino scattering off deuteron from threshold to GeV energies
text, January 2012
- Shen, G.; Marcucci, L. E.; Carlson, J.
- arXiv
Nuclear Axial Currents in Chiral Effective Field Theory
text, January 2015
- Baroni, A.; Girlanda, L.; Pastore, S.
- arXiv
Quantum Monte Carlo calculations of weak transitions in $A\,$=$\,$6--10 nuclei
text, January 2017
- Pastore, S.; Baroni, A.; Carlson, J.
- arXiv
Axial structure of the nucleon
text, January 2001
- Bernard, Véronique; Elouadrhiri, Latifa; Meißner, Ulf-G.
- arXiv
Induced pseudoscalar form factor of the nucleon at two-loop order in chiral perturbation theory
text, January 2003
- Kaiser, N.
- arXiv
Muon capture on nuclei: random phase approximation evaluation versus data for 6 $\le$ Z $\le$ 94 nuclei
text, January 2006
- Zinner, Nikolaj Thomas; Langanke, Karlheinz; Vogel, Petr
- arXiv
An accurate nucleon-nucleon potential with charge-independence breaking
text, January 1994
- Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R.
- arXiv
Works referencing / citing this record:
Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory
journal, January 2020
- Piarulli, Maria; Tews, Ingo
- Frontiers in Physics, Vol. 7
Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
text, January 2020
- Piarulli, Maria; Tews, Ingo
- arXiv