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Strong isospin breaking contribution to the neutron-proton mass difference

Conference ·
OSTI ID:917354
We determine the strong-isospin violating component of the neutron-proton mass difference from fully-dynamical lattice QCD and partially-quenched QCD calculations of the nucleon mass, constrained by partially-quenched chiral perturbation theory at one-loop level. The lattice calculations were performed with domain-wall valence quarks on MILC lattices with rooted staggered sea-quarks at a lattice spacing of b ~ 0.125 fm, lattice spatial size of L ~ 2.5 fm and pion masses ranging from m_pi ~ 290 MeV to ~ 350 MeV. At the physical value of the pion mass, we predict Mn-M_p|^(d-u) = 2.26 ± 0.57 ± 0.42 ± 0.10 MeV where the first error is statistical, the second error is due to the uncertainty in the ratio of light-quark masses, eta = m_u/m_d, determined by MILC [1], and the third error is an estimate of the systematic due to chiral extrapolation.
Research Organization:
Thomas Jefferson National Accelerator Facility, Newport News, VA
Sponsoring Organization:
USDOE - Office of Energy Research (ER)
DOE Contract Number:
AC05-84ER40150
OSTI ID:
917354
Report Number(s):
JLAB-THY-06-623; DOE/ER/40150-4358
Country of Publication:
United States
Language:
English

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