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Title: Transverse Densities of Octet Baryons from Chiral Effective Field Theory

Abstract

Transverse densities describe the distribution of charge and current at fixed light-front time and provide a frame-independent spatial representation of hadrons as relativistic systems. In this paper, we calculate the transverse densities of the octet baryons at peripheral distances b=O(M π -1) in an approach that combines chiral effective field theory (χχEFT) and dispersion analysis. The densities are represented as dispersive integrals of the imaginary parts of the baryon electromagnetic form factors in the timelike region (spectral functions). The spectral functions on the two-pion cut at t>4M$$2\atop{π}$$ are computed using relativistic χEFT with octet and decuplet baryons in the extended on-mass-shell renormalization scheme. The calculations are extended into the ρ-meson mass region using a dispersive method that incorporates the timelike pion form-factor data. The approach allows us to construct densities at distances b>1 fm with controlled uncertainties. Finally, our results provide insight into the peripheral structure of nucleons and hyperons and can be compared with empirical densities and lattice-QCD calculations.

Authors:
 [1];  [2];  [1]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center
  2. Departamento de Fisica Teorica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigacion de Paterna, Valencia (Spain)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1356574
Report Number(s):
JLAB-THY-17-2399; DOE/OR/23177-4053; arXiv:1701.05871
Journal ID: ISSN 0177-7963; PII: 1283
Grant/Contract Number:  
AC05-06OR23177; FIS2014-51948-C2-2-P; SEV-2014-0398
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Few-Body Systems
Additional Journal Information:
Journal Volume: 58; Journal Issue: 3; Journal ID: ISSN 0177-7963
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Electromagnetic form factors; Chiral Lagrangians; Hyperons; Charge distribution

Citation Formats

Alarcón, Jose Manuel, Hiller Blin, Astrid N., and Weiss, Christian. Transverse Densities of Octet Baryons from Chiral Effective Field Theory. United States: N. p., 2017. Web. doi:10.1007/s00601-017-1283-5.
Alarcón, Jose Manuel, Hiller Blin, Astrid N., & Weiss, Christian. Transverse Densities of Octet Baryons from Chiral Effective Field Theory. United States. doi:10.1007/s00601-017-1283-5.
Alarcón, Jose Manuel, Hiller Blin, Astrid N., and Weiss, Christian. Fri . "Transverse Densities of Octet Baryons from Chiral Effective Field Theory". United States. doi:10.1007/s00601-017-1283-5. https://www.osti.gov/servlets/purl/1356574.
@article{osti_1356574,
title = {Transverse Densities of Octet Baryons from Chiral Effective Field Theory},
author = {Alarcón, Jose Manuel and Hiller Blin, Astrid N. and Weiss, Christian},
abstractNote = {Transverse densities describe the distribution of charge and current at fixed light-front time and provide a frame-independent spatial representation of hadrons as relativistic systems. In this paper, we calculate the transverse densities of the octet baryons at peripheral distances b=O(Mπ-1) in an approach that combines chiral effective field theory (χχEFT) and dispersion analysis. The densities are represented as dispersive integrals of the imaginary parts of the baryon electromagnetic form factors in the timelike region (spectral functions). The spectral functions on the two-pion cut at t>4M$2\atop{π}$ are computed using relativistic χEFT with octet and decuplet baryons in the extended on-mass-shell renormalization scheme. The calculations are extended into the ρ-meson mass region using a dispersive method that incorporates the timelike pion form-factor data. The approach allows us to construct densities at distances b>1 fm with controlled uncertainties. Finally, our results provide insight into the peripheral structure of nucleons and hyperons and can be compared with empirical densities and lattice-QCD calculations.},
doi = {10.1007/s00601-017-1283-5},
journal = {Few-Body Systems},
issn = {0177-7963},
number = 3,
volume = 58,
place = {United States},
year = {2017},
month = {3}
}

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Cited by: 2 works
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