${{\mathit n}}$ MEAN-SQUARE CHARGE RADIUS INSPIRE search

The mean-square charge radius of the neutron, $\langle{}\mathit r{}^{2}_{{{\mathit n}}}\rangle{}$, is related to the neutron-electron scattering length $\mathit b_{{{\mathit n}} {{\mathit e}}}$ by $\langle{}\mathit r{}^{2}_{{{\mathit n}}}\rangle{}$ = 3(${\mathit m}_{{{\mathit e}}}\mathit a_{0}/{\mathit m}_{{{\mathit n}}})\mathit b_{{{\mathit n}} {{\mathit e}}}$, where ${\mathit m}_{{{\mathit e}}}$ and ${\mathit m}_{{{\mathit n}}}$ are the masses of the electron and neutron, and $\mathit a_{0}$ is the Bohr radius. Numerically, $\langle{}\mathit r{}^{2}_{{{\mathit n}}}\rangle{}$ = $86.34~\mathit b_{{{\mathit n}} {{\mathit e}}}$, if we use $\mathit a_{0}$ for a nucleus with infinite mass.
S017MCR
VALUE (fm${}^{2}$) DOCUMENT ID  COMMENT
$\bf{ -0.1155 \pm0.0017}$ OUR AVERAGE
$-0.115$ $\pm0.002$ $\pm0.003$
KOPECKY
1997
${{\mathit n}}{{\mathit e}}$ scattering (Pb)
$-0.124$ $\pm0.003$ $\pm0.005$
KOPECKY
1997
${{\mathit n}}{{\mathit e}}$ scattering (Bi)
$-0.114$ $\pm0.003$
KOESTER
1995
${{\mathit n}}{{\mathit e}}$ scattering (Pb, Bi)
$-0.115$ $\pm0.003$ 1
KROHN
1973
${{\mathit n}}{{\mathit e}}$ scattering (Ne, Ar, Kr, Xe)
• • • We do not use the following data for averages, fits, limits, etc. • • •
$-0.1101$ $\pm0.0089$ 2
HEACOCK
2021
${{\mathit n}}$ interferometry
$-0.106$ ${}^{+0.007}_{-0.005}$ 3
FILIN
2020
chiral EFT analysis
$-0.117$ ${}^{+0.007}_{-0.011}$
BELUSHKIN
2007
Dispersion analysis
$-0.113$ $\pm0.003$ $\pm0.004$
KOPECKY
1995
${{\mathit n}}{{\mathit e}}$ scattering (Pb)
$-0.134$ $\pm0.009$
ALEKSANDROV
1986
${{\mathit n}}{{\mathit e}}$ scattering (Bi)
$-0.114$ $\pm0.003$
KOESTER
1986
${{\mathit n}}{{\mathit e}}$ scattering (Pb, Bi)
$-0.118$ $\pm0.002$
KOESTER
1976
${{\mathit n}}{{\mathit e}}$ scattering (Pb)
$-0.120$ $\pm0.002$
KOESTER
1976
${{\mathit n}}{{\mathit e}}$ scattering (Bi)
$-0.116$ $\pm0.003$
KROHN
1966
${{\mathit n}}{{\mathit e}}$ scattering (Ne, Ar, Kr, Xe)
1  KROHN 1973 measured $-0.112$ $\pm0.003$ fm${}^{2}$. This value is as corrected by KOESTER 1976.
2  HEACOCK 2021 extract the value from Pendelloesung interferometry to measure the neutron structure factors of silicon. This value is strongly anti-correlated with the mean-square thermal atomic displacement.
3  FILIN 2020 extract the value based on their chiral-EFT calculation of the deuteron structure radius and use as input the atomic data for the difference of the deuteron and proton charge radii.
  References:
HEACOCK 2021
SCI 373 1239 Pendellösung interferometry probes the neutron charge radius, lattice dynamics, and fifth forces
FILIN 2020
PRL 124 082501 Extraction of the neutron charge radius from a precision calculation of the deuteron structure radius
BELUSHKIN 2007
PR C75 035202 Dispersion Analysis of the Nucleon Form Factors Including Meson Continua
KOPECKY 1997
PR C56 2229 Neutron Charge Radius Determined from the Energy Dependence of the Neutron Transmission of Liquid ${}^{208}\mathrm {Pb}$ and ${}^{209}\mathrm {Bi}$
KOESTER 1995
PR C51 3363 Neutron-Electron Scattering Length and Electric Polarizability of the Neutron Derived from Cross Sections of Bismuth and of Lead and its Isotopes
KOPECKY 1995
PRL 74 2427 New Measurement of the Charge Radius of the Neutron
ALEKSANDROV 1986
SJNP 44 900 Neutron RMS Radius and Electric Polarizability from Data on the Interaction of Slow Neutrons with Bismuth
KOESTER 1986
Physica B137 282 Neutron Scattering Lengths and Neutron-Electron Interaction
KOESTER 1976
PRL 36 1021 Measurement of the Neutron-Electron Interaction by the Scattering of Neutrons by Lead and Bismuth
KROHN 1973
PR D8 1305 Reconsiderations of the Electron-Neutron Scattering Length as Measured by the Scattering of Thermal Neutrons by Noble Gases
KROHN 1966
PR 148 1303 Measurement of the Electron-Neutron Interaction by the Asymmetrical Scattering of Thermal Neutrons by Noble Gases