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SUMMARY:Nucleon radii and form factors at $Q^2=0$ using momentum derivativ
es
DTSTART;VALUE=DATE-TIME:20170619T150000Z
DTEND;VALUE=DATE-TIME:20170619T152000Z
DTSTAMP;VALUE=DATE-TIME:20200219T032248Z
UID:indico-contribution-279@cern.ch
DESCRIPTION:Speakers: HASAN\, Nesreen (Bergische Universitaet Wuppertal)\n
The conventional approach for calculating the nucleon radius on a finite-s
ize lattice requires interpolation of form factors in the quantized moment
um transfer $Q^2$. This interpolation is model-dependent and is therefore
a source of systematic uncertainty. Recently\, we have presented a derivat
ive method for computing the isovector Dirac radius and the anomalous magn
etic moment of the nucleon directly at zero momentum transfer.\nThis appro
ach is based on the Rome method and relies on calculating the first- and s
econd-order momentum derivatives of nucleon correlation functions with res
pect to the initial-state momentum. We also extended the use of this metho
d to include the extraction of the nucleon axial radius and the induced ps
eudoscalar form factor at $Q^2=0$. We found the aforementioned setup of th
e derivative method to result in large statistical uncertainties when comp
ared with the conventional approach\, especially for the Dirac and axial r
adii.\n\nHere\, we present an alternative setup for the derivative method
which was originally suggested by B. C. Tiburzi for the pion charge radius
. In this setup\, mixed momentum derivatives of the correlation functions\
, that are first-order momentum derivatives with respect to both initial-
and final-state momenta\, allow for the extraction of the nucleon Dirac ra
dius. We show that this alternative setup successfully reduces the statist
ical uncertainties\, while still producing results compatible with the con
ventional approach.\n\nhttps://makondo.ugr.es/event/0/session/95/contribut
ion/279
LOCATION: AndalucĂa III
URL:https://makondo.ugr.es/event/0/session/95/contribution/279
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