Charge symmetry breaking effects in pion and kaon structure
Abstract
Charge symmetry breaking (CSB) effects associated with the u and d quark mass difference are investigated in the quark distribution functions and spacelike electromagnetic form factors of the pion and kaon. We use a confining version of the Nambu-Jona-Lasimo model, where CSB effects at the infrared scale associated with the model are driven by the dressed u and d quark mass ratio, which because of dynamical chiral symmetry breaking is much closer to unity than the associated current quark mass ratio. The pion and kaon are given as bound states of a dressed quark and a dressed antiquark governed by the Bethe-Salpeter equation, and exhibit the properties of Goldstone bosons, with a pion mass difference given by m(Pi)+(2) - m(Pi)0(2) (m(u) - m(d))(2) as demanded by dynamical chiral symmetry breaking. We find significant CSB effects for realistic current quark mass ratios (m(u)/m(d) similar to 0.5) in the quark flavor-sector electromagnetic form factors of both the pion and kaon. For example, the difference between the u and d quark contributions to the Pi(+) electromagnetic form factors is about 8% at a momentum transfer of Q(2) = 10 GeV2, while the analogous effect for the light quark sector form factors in themore »
- Authors:
-
- Asia Pacific Center for Theoretical Physics, Pohang (Korea, Republic of)
- Tokai Univ., Kanagawa (Japan); Inst. of Physical and Chemical Research (RIKEN), Wako (Japan)
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Univ. of Adelaide, SA (Australia)
- Publication Date:
- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- Australian Research Council; USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1461463
- Alternate Identifier(s):
- OSTI ID: 1437521
- Grant/Contract Number:
- AC02-06CH11357; 2016-098-N0; 2017-058-N0
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 97; Journal Issue: 5; 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
Hutauruk, Parada T. P., Bentz, Wolfgang, Cloët, Ian C., and Thomas, Anthony W. Charge symmetry breaking effects in pion and kaon structure. United States: N. p., 2018.
Web. doi:10.1103/PhysRevC.97.055210.
Hutauruk, Parada T. P., Bentz, Wolfgang, Cloët, Ian C., & Thomas, Anthony W. Charge symmetry breaking effects in pion and kaon structure. United States. https://doi.org/10.1103/PhysRevC.97.055210
Hutauruk, Parada T. P., Bentz, Wolfgang, Cloët, Ian C., and Thomas, Anthony W. Thu .
"Charge symmetry breaking effects in pion and kaon structure". United States. https://doi.org/10.1103/PhysRevC.97.055210. https://www.osti.gov/servlets/purl/1461463.
@article{osti_1461463,
title = {Charge symmetry breaking effects in pion and kaon structure},
author = {Hutauruk, Parada T. P. and Bentz, Wolfgang and Cloët, Ian C. and Thomas, Anthony W.},
abstractNote = {Charge symmetry breaking (CSB) effects associated with the u and d quark mass difference are investigated in the quark distribution functions and spacelike electromagnetic form factors of the pion and kaon. We use a confining version of the Nambu-Jona-Lasimo model, where CSB effects at the infrared scale associated with the model are driven by the dressed u and d quark mass ratio, which because of dynamical chiral symmetry breaking is much closer to unity than the associated current quark mass ratio. The pion and kaon are given as bound states of a dressed quark and a dressed antiquark governed by the Bethe-Salpeter equation, and exhibit the properties of Goldstone bosons, with a pion mass difference given by m(Pi)+(2) - m(Pi)0(2) (m(u) - m(d))(2) as demanded by dynamical chiral symmetry breaking. We find significant CSB effects for realistic current quark mass ratios (m(u)/m(d) similar to 0.5) in the quark flavor-sector electromagnetic form factors of both the pion and kaon. For example, the difference between the u and d quark contributions to the Pi(+) electromagnetic form factors is about 8% at a momentum transfer of Q(2) = 10 GeV2, while the analogous effect for the light quark sector form factors in the K+ and K-0 is about twice as large. For the parton distribution functions we find CSB effects which are considerably smaller than those found in the electromagnetic form factors.},
doi = {10.1103/PhysRevC.97.055210},
journal = {Physical Review C},
number = 5,
volume = 97,
place = {United States},
year = {Thu May 17 00:00:00 EDT 2018},
month = {Thu May 17 00:00:00 EDT 2018}
}
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Cited by: 11 works
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Figure 1: (Colour online) The inhomogeneous BSE which gives the dressed quark-photon vertex. The large shaded oval represents the solution of the inhomogeneous BSE, the small dot is the inhomogeneous driving term (Q̂ γµ) and the double-dots represent the qq̄ interaction kernel derived from the NJL Lagrangian [35].
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Works referenced in this record:
Pion Form Factor
journal, July 1979
- Farrar, Glennys R.; Jackson, Darrell R.
- Physical Review Letters, Vol. 43, Issue 4
Uncertainties of predictions from parton distributions II: theoretical errors
journal, June 2004
- Martin, A. D.; Roberts, R. G.; Stirling, W. J.
- The European Physical Journal C, Vol. 35, Issue 3
Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II
journal, October 1961
- Nambu, Y.; Jona-Lasinio, G.
- Physical Review, Vol. 124, Issue 1
Transverse-momentum-dependent fragmentation and quark distribution functions from the Nambu–Jona-Lasinio–jet model
journal, January 2012
- Matevosyan, Hrayr H.; Bentz, Wolfgang; Cloët, Ian C.
- Physical Review D, Vol. 85, Issue 1
NJL-jet model for quark fragmentation functions
journal, October 2009
- Ito, T.; Bentz, W.; Cloët, I. C.
- Physical Review D, Vol. 80, Issue 7
Charge Asymmetry of Parton Distributions
journal, June 1994
- Rodionov, E. N.; Thomas, A. W.; Londergan, J. T.
- Modern Physics Letters A, Vol. 09, Issue 19
Isospin-violating quark distributions in the nucleon
journal, January 1992
- Sather, Eric
- Physics Letters B, Vol. 274, Issue 3-4
Pion structure function in the Nambu and Jona-Lasinio model
journal, July 1993
- Shigetani, T.; Suzuki, K.; Toki, H.
- Physics Letters B, Vol. 308, Issue 3-4
Neutron-proton mass difference in nuclei and the Okamoto-Nolen-Schiffer anomaly ly
journal, November 1990
- Hatsuda, T.; Hogaasen, H.; Prakash, M.
- Physical Review C, Vol. 42, Issue 5
Quark mass differences and isospin violation in the pion-nucleon coupling constants
journal, May 1989
- Bernard, Véronique; Meissner, Ulf-G.
- Physical Review C, Vol. 39, Issue 5
Meson cloud corrections to the pion electromagnetic form factor in the Nambu-Jona-Lasinio model
journal, October 1995
- Lemmer, R. H.; Tegen, R.
- Nuclear Physics A, Vol. 593, Issue 3
Lattice QCD at the physical point: Light quark masses
journal, July 2011
- Durr, S.; Fodor, Z.; Hoelbling, C.
- Physics Letters B, Vol. 701, Issue 2
Generalized SU(3) Nambu-Jona-Lasinio model
journal, October 1990
- Vogl, U.; Lutz, M.; Klimt, S.
- Nuclear Physics A, Vol. 516, Issue 3-4
Extended NJL model for light and heavy mesons without thresholds
journal, November 1996
- Ebert, Dietmar; Feldmann, Thorsten; Reinhardt, Hugo
- Physics Letters B, Vol. 388, Issue 1
The mass difference between the charged and neutral pions in the Nambu-Jona-Lasinio model
journal, June 1992
- Dmitrasinovic, V.; Lemmer, R. H.; Tegen, R.
- Physics Letters B, Vol. 284, Issue 3-4
APFEL: A PDF evolution library with QED corrections
journal, June 2014
- Bertone, Valerio; Carrazza, Stefano; Rojo, Juan
- Computer Physics Communications, Vol. 185, Issue 6
Nucleon quark distributions in a covariant quark–diquark model
journal, August 2005
- Cloët, I. C.; Bentz, W.; Thomas, A. W.
- Physics Letters B, Vol. 621, Issue 3-4
Transverse polarisation of quarks in hadrons
journal, March 2002
- Barone, Vincenzo; Drago, Alessandro; Ratcliffe, Philip G.
- Physics Reports, Vol. 359, Issue 1-2
Experimental study of muon pairs produced by 252-GeV pions on tungsten
journal, January 1989
- Conway, J. S.; Adolphsen, C. E.; Alexander, J. P.
- Physical Review D, Vol. 39, Issue 1
The Nambu and Jona-Lasinio model: Its implications for Hadrons and Nuclei
journal, January 1991
- Vogl, U.; Weise, W.
- Progress in Particle and Nuclear Physics, Vol. 27
On Gauge Invariance and Vacuum Polarization
journal, June 1951
- Schwinger, Julian
- Physical Review, Vol. 82, Issue 5
Charge Symmetry Breaking and QCD
journal, November 2006
- Miller, Gerald A.; Opper, Allena K.; Stephenson, Edward J.
- Annual Review of Nuclear and Particle Science, Vol. 56, Issue 1
Charge symmetry, quarks and mesons
journal, October 1990
- Miller, G. A.; Nefkens, B. M. K.; Šlaus, I.
- Physics Reports, Vol. 194, Issue 1-2
Exclusive processes in quantum chromodynamics: Evolution equations for hadronic wavefunctions and the form factors of mesons
journal, November 1979
- Peter Lepage, G.; Brodsky, Stanley J.
- Physics Letters B, Vol. 87, Issue 4
Erratum: Precise Determination of Electroweak Parameters in Neutrino-Nucleon Scattering [Phys. Rev. Lett. 88 , 091802 (2002)]
journal, June 2003
- Zeller, G. P.; McFarland, K. S.; Adams, T.
- Physical Review Letters, Vol. 90, Issue 23
Charge symmetry violation in the electromagnetic form factors of the nucleon
journal, June 2015
- Shanahan, P. E.; Horsley, R.; Nakamura, Y.
- Physical Review D, Vol. 91, Issue 11
Charge-symmetry-breaking nucleon form factors
journal, April 2011
- Kubis, Bastian
- Hyperfine Interactions, Vol. 201, Issue 1-3
Diquark confinement in an extended NJL model
journal, November 1997
- Hellstern, G.; Alkofer, R.; Reinhardt, H.
- Nuclear Physics A, Vol. 625, Issue 4
Pion-photon transition distribution amplitudes in the Nambu–Jona-Lasinio model
journal, November 2007
- Courtoy, A.; Noguera, S.
- Physical Review D, Vol. 76, Issue 9
Pion Electromagnetic Form Factor at Spacelike Momenta
journal, October 2013
- Chang, L.; Cloët, I. C.; Roberts, C. D.
- Physical Review Letters, Vol. 111, Issue 14
Charge symmetry breaking and parity violating electron scattering
conference, January 2013
- Miller, Gerald A.
- WORKSHOP TO EXPLORE PHYSICS OPPORTUNITIES WITH INTENSE, POLARIZED ELECTRON BEAMS AT 50-300 MEV, AIP Conference Proceedings
Baryons in the NJL model as solutions of the relativistic Faddeev equation
journal, May 1995
- Ishii, Noriyoshi; Bentz, Wolfgang; Yazaki, Koichi
- Nuclear Physics A, Vol. 587, Issue 4
Isovector EMC Effect and the NuTeV Anomaly
journal, June 2009
- Cloët, I. C.; Bentz, W.; Thomas, A. W.
- Physical Review Letters, Vol. 102, Issue 25
Reassessment of the NuTeV determination of the weak mixing angle
journal, October 2010
- Bentz, W.; Cloët, I. C.; Londergan, J. T.
- Physics Letters B, Vol. 693, Issue 4
Experimental tests of charge symmetry violation in parton distributions
journal, August 2005
- Londergan, J. T.; Murdock, D. P.; Thomas, A. W.
- Physical Review D, Vol. 72, Issue 3
Coulomb Energies
journal, December 1969
- Nolen, J. A.; Schiffer, J. P.
- Annual Review of Nuclear Science, Vol. 19, Issue 1
Pion transverse momentum dependent parton distributions in the Nambu and Jona-Lasinio model
journal, November 2015
- Noguera, Santiago; Scopetta, Sergio
- Journal of High Energy Physics, Vol. 2015, Issue 11
Exclusive processes in perturbative quantum chromodynamics
journal, November 1980
- Lepage, G. Peter; Brodsky, Stanley J.
- Physical Review D, Vol. 22, Issue 9
Structure functions of pseudoscalar mesons in the SU(3) NJL model
journal, March 1995
- Davidson, R. M.; Ruiz Arriola, E.
- Physics Letters B, Vol. 348, Issue 1-2
The validity of charge symmetry for parton distributions
journal, January 1998
- Londergan, J.
- Progress in Particle and Nuclear Physics, Vol. 41
Charge symmetry breaking from a chiral extrapolation of moments of quark distribution functions
journal, May 2013
- Shanahan, P. E.; Thomas, A. W.; Young, R. D.
- Physical Review D, Vol. 87, Issue 9
Review of Particle Physics
journal, July 2012
- Beringer, J.; Arguin, J. -F.; Barnett, R. M.
- Physical Review D, Vol. 86, Issue 1
The Nolen-Schiffer anomaly and isospin symmetry breaking in nuclear matter
journal, August 1994
- Saito, K.; Thomas, A. W.
- Physics Letters B, Vol. 335, Issue 1
Nambu–Jona-Lasinio model compared with chiral perturbation theory: The pion radius in SU(2) revisited
journal, October 1995
- Hippe, H. -J.; Klevansky, S. P.
- Physical Review C, Vol. 52, Issue 4
Nambu – Jona-Lasinio model and charge independence
journal, May 1989
- Henley, E. M.; Krein, G.
- Physical Review Letters, Vol. 62, Issue 22
Generalized SU(3) Nambu-Jona-Lasinio model
journal, October 1990
- Klimt, S.; Lutz, M.; Vogl, U.
- Nuclear Physics A, Vol. 516, Issue 3-4
Parity-Violating Deep Inelastic Scattering and the Flavor Dependence of the EMC Effect
journal, October 2012
- Cloët, I. C.; Bentz, W.; Thomas, A. W.
- Physical Review Letters, Vol. 109, Issue 18
The pion form factor at zero and finite temperature in the Nambu-Jona-Lasinio model
journal, April 1994
- Schulze, H. -J
- Journal of Physics G: Nuclear and Particle Physics, Vol. 20, Issue 4
SU(3)-flavor breaking in octet baryon masses and axial couplings
journal, December 2014
- Carrillo-Serrano, Manuel E.; Cloët, Ian C.; Thomas, Anthony W.
- Physical Review C, Vol. 90, Issue 6
Electromagnetic contribution to charge symmetry violation in parton distributions
journal, February 2016
- Wang, X. G.; Thomas, A. W.; Young, R. D.
- Physics Letters B, Vol. 753
Pion Distribution Amplitude from Lattice QCD
journal, August 2013
- Cloët, I. C.; Chang, L.; Roberts, C. D.
- Physical Review Letters, Vol. 111, Issue 9
The stability of nuclear matter in the Nambu–Jona-Lasinio model
journal, December 2001
- Bentz, W.; Thomas, A. W.
- Nuclear Physics A, Vol. 696, Issue 1-2
Electromagnetic Structure of the Pion and the Kaon
journal, November 1988
- Bernard, Véronique; Meissner, Ulf-G.
- Physical Review Letters, Vol. 61, Issue 20
Isospin splittings of meson and baryon masses from three-flavor lattice QCD + QED
journal, September 2016
- Horsley, R.; Nakamura, Y.; Perlt, H.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 10
Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
journal, April 1961
- Nambu, Y.; Jona-Lasinio, G.
- Physical Review, Vol. 122, Issue 1
Diquark electromagnetic form factors in a Nambu-Jona-Lasinio model
journal, August 1993
- Weiss, C.; Buck, A.; Alkofer, R.
- Physics Letters B, Vol. 312, Issue 1-2
Quark mass difference and the origin of charge symmetry breaking
journal, May 1991
- Slaus, Ivo; Nefkens, B. M. K.; Miller, G. A.
- Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 56-57
Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all
journal, September 2016
- Accardi, A.; Albacete, J. L.; Anselmino, M.
- The European Physical Journal A, Vol. 52, Issue 9
Flavor dependence of the pion and kaon form factors and parton distribution functions
journal, September 2016
- Hutauruk, Parada T. P.; Cloët, Ian C.; Thomas, Anthony W.
- Physical Review C, Vol. 94, Issue 3
Transversity quark distributions in a covariant quark–diquark model
journal, January 2008
- Cloët, I. C.; Bentz, W.; Thomas, A. W.
- Physics Letters B, Vol. 659, Issue 1-2
Drell-Yan processes as a probe of charge symmetry violation in the pion and the nucleon
journal, December 1994
- Londergan, J. T.; Garvey, G. T.; Liu, G. Q.
- Physics Letters B, Vol. 340, Issue 1-2
Generalized parton distributions of the pion in a Bethe-Salpeter approach
journal, June 2004
- Noguera, S.; Theußl, L.; Vento, V.
- The European Physical Journal A, Vol. 20, Issue 3
The Nambu—Jona-Lasinio model of quantum chromodynamics
journal, July 1992
- Klevansky, S. P.
- Reviews of Modern Physics, Vol. 64, Issue 3
Isospin Splittings in the Light-Baryon Octet from Lattice QCD and QED
journal, December 2013
- Borsanyi, Sz.; Dürr, S.; Fodor, Z.
- Physical Review Letters, Vol. 111, Issue 25
Precise Determination of Electroweak Parameters in Neutrino-Nucleon Scattering
journal, February 2002
- Zeller, G. P.; McFarland, K. S.; Adams, T.
- Physical Review Letters, Vol. 88, Issue 9
Transverse-momentum-dependent quark distribution functions of spin-one targets: Formalism and covariant calculations
journal, October 2017
- Ninomiya, Yu; Bentz, Wolfgang; Cloët, Ian C.
- Physical Review C, Vol. 96, Issue 4
Charge symmetry at the partonic level
journal, July 2010
- Londergan, J. T.; Peng, J. C.; Thomas, A. W.
- Reviews of Modern Physics, Vol. 82, Issue 3
Probing charge-symmetry-violating quark distributions in semi-inclusive leptoproduction of hadrons
journal, September 1996
- Londergan, J. T.; Pang, Alex; Thomas, A. W.
- Physical Review D, Vol. 54, Issue 5
Role of diquark correlations and the pion cloud in nucleon elastic form factors
journal, October 2014
- Cloët, Ian C.; Bentz, Wolfgang; Thomas, Anthony W.
- Physical Review C, Vol. 90, Issue 4
QED effects in the pseudoscalar meson sector
journal, April 2016
- Horsley, R.; Nakamura, Y.; Perlt, H.
- Journal of High Energy Physics, Vol. 2016, Issue 4
Works referencing / citing this record:
Valence-quark distributions of pions and kaons in a nuclear medium
journal, November 2019
- Hutauruk, Parada T. P.; Cobos-Martínez, J. J.; Oh, Yongseok
- Physical Review D, Vol. 100, Issue 9
Valence-quark distributions of pions and kaons in a nuclear medium
text, January 2019
- Hutauruk, Parada T. P.; Cobos-Martinez, J. J.; Oh, Yongseok
- arXiv
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.