Peripheral transverse densities of the baryon octet from chiral effective field theory and dispersion analysis

Alarcón, J. M.; Hiller Blin, A. N.; Vicente Vacas, M. J.; Weiss, C.

doi:10.1016/j.nuclphysa.2017.05.002

Peripheral transverse densities of the baryon octet from chiral effective field theory and dispersion analysis

Journal Article · Mon May 08 04:00:00 EDT 2017 · Nuclear Physics. A

DOI:https://doi.org/10.1016/j.nuclphysa.2017.05.002· OSTI ID:1356984

Alarcón, J. M. ^[1]; ^[2]; ^[2]; Weiss, C. ^[3]

Univ. of Bonn (Germany). Bethe Center for Theoretical Physics. Helmholtz Inst. for Radiation and Nuclear Physics; Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center
Univ. of Valencia (Spain). Dept. of Theoretical Physics. Inst. for Corpuscular Physics (IFIC)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center

The baryon electromagnetic form factors are expressed in terms of two-dimensional densities describing the distribution of charge and magnetization in transverse space at fixed light-front time. In this paper, we calculate the transverse densities of the spin-1/2 flavor-octet baryons at peripheral distances b=O(M$$-1\atop{π}$$) using methods of relativistic chiral effective field theory (χ EFT) and dispersion analysis. The densities are represented as dispersive integrals over the imaginary parts of the form factors in the timelike region (spectral functions). The isovector spectral functions on the two-pion cut t > 4 M$$2\atop{π}$$ are calculated using relativistic χEFT including octet and decuplet baryons. The χEFT calculations are extended into the ρ meson mass region using an N/D method that incorporates the pion electromagnetic form factor data. The isoscalar spectral functions are modeled by vector meson poles. We compute the peripheral charge and magnetization densities in the octet baryon states, estimate the uncertainties, and determine the quark flavor decomposition. Finally, the approach can be extended to baryon form factors of other operators and the moments of generalized parton distributions.

View Accepted Manuscript (DOE)

Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Univ. of Bonn (Germany); Univ. of Valencia (Spain)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); German Research Foundation (DFG) (Germany); Ministry of Economy, Industry and Competitiveness (MINECO) (Spain); European Commission (EC) (Belgium); Generalitat Valenciana

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1356984

Alternate ID(s):: OSTI ID: 1397938

Report Number(s):: JLAB-THY--17-2432; PII: S0375947417301185

Journal Information:: Nuclear Physics. A, Journal Name: Nuclear Physics. A Vol. 964; ISSN 0375-9474

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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