Transverse Densities of Octet Baryons from Chiral Effective Field Theory
Transverse densities describe the distribution of charge and current at fixed lightfront time and provide a frameindependent 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 twopion cut at t>4M$$2\atop{π}$$ are computed using relativistic χEFT with octet and decuplet baryons in the extended onmassshell renormalization scheme. The calculations are extended into the ρmeson mass region using a dispersive method that incorporates the timelike pion formfactor 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 latticeQCD calculations.
 Authors:

^{[1]};
^{[2]};
^{[1]}
 Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center
 Departamento de Fisica Teorica and IFIC, Centro Mixto Universidad de ValenciaCSIC, Institutos de Investigacion de Paterna, Valencia (Spain)
 Publication Date:
 Report Number(s):
 JLABTHY172399; DOE/OR/231774053; arXiv:1701.05871
Journal ID: ISSN 01777963; PII: 1283
 Grant/Contract Number:
 AC0506OR23177; FIS201451948C22P; SEV20140398
 Type:
 Accepted Manuscript
 Journal Name:
 FewBody Systems
 Additional Journal Information:
 Journal Volume: 58; Journal Issue: 3; Journal ID: ISSN 01777963
 Publisher:
 Springer
 Research Org:
 Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Electromagnetic form factors; Chiral Lagrangians; Hyperons; Charge distribution
 OSTI Identifier:
 1356574
Alarcón, Jose Manuel, Hiller Blin, Astrid N., and Weiss, Christian. Transverse Densities of Octet Baryons from Chiral Effective Field Theory. United States: N. p.,
Web. doi:10.1007/s0060101712835.
Alarcón, Jose Manuel, Hiller Blin, Astrid N., & Weiss, Christian. Transverse Densities of Octet Baryons from Chiral Effective Field Theory. United States. doi:10.1007/s0060101712835.
Alarcón, Jose Manuel, Hiller Blin, Astrid N., and Weiss, Christian. 2017.
"Transverse Densities of Octet Baryons from Chiral Effective Field Theory". United States.
doi:10.1007/s0060101712835. 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 lightfront time and provide a frameindependent spatial representation of hadrons as relativistic systems. In this paper, we calculate the transverse densities of the octet baryons at peripheral distances b=O(Mπ1) 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 twopion cut at t>4M$2\atop{π}$ are computed using relativistic χEFT with octet and decuplet baryons in the extended onmassshell renormalization scheme. The calculations are extended into the ρmeson mass region using a dispersive method that incorporates the timelike pion formfactor 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 latticeQCD calculations.},
doi = {10.1007/s0060101712835},
journal = {FewBody Systems},
number = 3,
volume = 58,
place = {United States},
year = {2017},
month = {3}
}