Transverse Densities of Octet Baryons from Chiral Effective Field Theory

Alarcón, Jose Manuel; Hiller Blin, Astrid N.; Weiss, Christian

doi:10.1007/s00601-017-1283-5

Transverse Densities of Octet Baryons from Chiral Effective Field Theory

Journal Article · Fri Mar 24 00:00:00 EDT 2017 · Few-Body Systems

DOI:https://doi.org/10.1007/s00601-017-1283-5· OSTI ID:1356574

Alarcón, Jose Manuel ^[1]; Hiller Blin, Astrid N. ^[2]; Weiss, Christian ^[1]

Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center
Departamento de Fisica Teorica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigacion de Paterna, Valencia (Spain)

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.

View Accepted Manuscript (DOE)

Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1356574

Alternate ID(s):: OSTI ID: 22640091

Report Number(s):: JLAB-THY--17-2399; DOE/OR/23177-4053; arXiv:1701.05871; PII: 1283

Journal Information:: Few-Body Systems, Journal Name: Few-Body Systems Journal Issue: 3 Vol. 58; ISSN 0177-7963

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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