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Title: Pion momentum distributions in the nucleon in chiral effective theory

Abstract

We compute the light-cone momentum distributions of pions in the nucleon in chiral effective theory using both pseudovector and pseudoscalar pion--nucleon couplings. For the pseudovector coupling we identify $$\delta$$-function contributions associated with end-point singularities arising from the pion-nucleon rainbow diagrams, as well as from pion tadpole diagrams which are not present in the pseudoscalar model. Gauge invariance is demonstrated, to all orders in the pion mass, with the inclusion of Weinberg-Tomozawa couplings involving operator insertions at the $$\pi NN$$ vertex. The results pave the way for phenomenological applications of pion cloud models that are manifestly consistent with the chiral symmetry properties of QCD.

Authors:
 [1];  [2];  [2];  [3];  [4]
  1. New Mexico State U.
  2. North Carolina State U.
  3. JLAB
  4. Adelaide U.
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1084340
Report Number(s):
JLAB-THY-12-1664; DOE/OR/23177-2378; arXiv:1211.5853
DOE Contract Number:  
AC05-06OR23177
Resource Type:
Journal Article
Journal Name:
Phys. Rev. D
Additional Journal Information:
Journal Volume: 87; Journal Issue: 05
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Burkardt, Matthias R., Hendricks, K. S., Ji, Cheung Ryong, Melnitchouk, Wally, and Thomas, Anthony W. Pion momentum distributions in the nucleon in chiral effective theory. United States: N. p., 2013. Web. doi:10.1103/PhysRevD.87.056009.
Burkardt, Matthias R., Hendricks, K. S., Ji, Cheung Ryong, Melnitchouk, Wally, & Thomas, Anthony W. Pion momentum distributions in the nucleon in chiral effective theory. United States. https://doi.org/10.1103/PhysRevD.87.056009
Burkardt, Matthias R., Hendricks, K. S., Ji, Cheung Ryong, Melnitchouk, Wally, and Thomas, Anthony W. Fri . "Pion momentum distributions in the nucleon in chiral effective theory". United States. https://doi.org/10.1103/PhysRevD.87.056009.
@article{osti_1084340,
title = {Pion momentum distributions in the nucleon in chiral effective theory},
author = {Burkardt, Matthias R. and Hendricks, K. S. and Ji, Cheung Ryong and Melnitchouk, Wally and Thomas, Anthony W.},
abstractNote = {We compute the light-cone momentum distributions of pions in the nucleon in chiral effective theory using both pseudovector and pseudoscalar pion--nucleon couplings. For the pseudovector coupling we identify $\delta$-function contributions associated with end-point singularities arising from the pion-nucleon rainbow diagrams, as well as from pion tadpole diagrams which are not present in the pseudoscalar model. Gauge invariance is demonstrated, to all orders in the pion mass, with the inclusion of Weinberg-Tomozawa couplings involving operator insertions at the $\pi NN$ vertex. The results pave the way for phenomenological applications of pion cloud models that are manifestly consistent with the chiral symmetry properties of QCD.},
doi = {10.1103/PhysRevD.87.056009},
url = {https://www.osti.gov/biblio/1084340}, journal = {Phys. Rev. D},
number = 05,
volume = 87,
place = {United States},
year = {2013},
month = {3}
}