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Title: 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 » 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.« less

Authors:
 [1];  [2];  [3];  [4]
  1. Asia Pacific Center for Theoretical Physics, Pohang (Korea, Republic of)
  2. Tokai Univ., Kanagawa (Japan); Inst. of Physical and Chemical Research (RIKEN), Wako (Japan)
  3. Argonne National Lab. (ANL), Argonne, IL (United States)
  4. 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) (SC-26)
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. doi: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. doi: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 = {2018},
month = {5}
}

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Figures / Tables:

Figure 1 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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