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SUMMARY:The pion mass dependence of the nucleon
DTSTART;VALUE=DATE-TIME:20170619T133000Z
DTEND;VALUE=DATE-TIME:20170619T135000Z
DTSTAMP;VALUE=DATE-TIME:20200219T051317Z
UID:indico-contribution-410@cern.ch
DESCRIPTION:Speakers: Dr. WALKER-LOUD\, Andre (Lawrence Berkeley National
Laboratory)\nIt has been observed that lattice QCD calculations of the nuc
leon mass show a strikingly linear dependence upon the pion mass such that
$m_N[\\textrm{MeV}] = 800 + m_\\pi$ is a remarkably good _lattice- phenom
enological_ estimate of the nucleon mass at a given pion mass for pion mas
ses in the range $170 \\leq m_\\pi \\leq 800$ MeV. If the _goodness_ of t
his extrapolation persists to the physical pion mass\, this has important
implications for the pion-nucleon sigma term\, which would be $\\sigma_{\\
pi N} \\sim 68$ MeV with this extrapolation function. We will use recent
lattice QCD results of the nucleon mass determined with Möbius Domain Wal
l Fermions solved on gradient flowed $2+1+1$ dynamical HISQ ensembles at t
hree lattice spacings and pion masses in the range $130 \\leq m_\\pi \\leq
400$ MeV to study the fully continuum and infinite volume extrapolated nu
cleon mass as a function of the pion mass. We will explore if there are s
tatistically significant deviations from the observed phenomenological beh
avior observed and provide a preliminary estimate of the pion-nucleon sigm
a term determined in this extrapolation.\n\nhttps://makondo.ugr.es/event/0
/session/94/contribution/410
LOCATION: Andalucía II
URL:https://makondo.ugr.es/event/0/session/94/contribution/410
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