# ${{\boldsymbol n}}$ MAGNETIC POLARIZABILITY ${{\boldsymbol \beta}_{{n}}}$ INSPIRE search

VALUE ($10^{-4}$ fm${}^{3}$) DOCUMENT ID TECN  COMMENT
$\bf{ 3.7 \pm1.2}$ OUR AVERAGE
$3.65$ $\pm1.25$ $\pm0.8$
 2014
CNTR ${{\mathit \gamma}}$ ${{\mathit d}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit d}}$
$2.7$ $\pm1.8$ ${}^{+1.3}_{-1.6}$ 1
 2003
CNTR ${{\mathit \gamma}}$ ${{\mathit d}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit p}}{{\mathit n}}$
$6.5$ $\pm2.4$ $\pm3.0$ 2
 2003
CNTR ${{\mathit \gamma}}$ ${{\mathit d}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit d}}$
• • • We do not use the following data for averages, fits, limits, etc. • • •
$1.6$ 3
 2000
CNTR ${{\mathit \gamma}}$ ${{\mathit d}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit n}}{{\mathit p}}$
1  KOSSERT 2003 gets $\alpha _{{{\mathit n}}}−\beta _{{{\mathit n}}}$ =($9.8$ $\pm3.6$ ${}^{+2.1}_{-1.1}\pm2.2){\times }10^{-4}~$fm${}^{3}$, and uses $\alpha _{{{\mathit n}}}+\beta _{{{\mathit n}}}$ = ($15.2$ $\pm0.5$) $\times 10^{-4}~$fm${}^{3}$ from LEVCHUK 2000 . Thus the errors on $\alpha _{{{\mathit n}}}$ and $\beta _{{{\mathit n}}}$ are anti-correlated.
2  LUNDIN 2003 measures $\alpha _{\mathit N}−\beta _{\mathit N}$ = ($6.4$ $\pm2.4$) $\times 10^{-4}$ fm${}^{3}$ and uses accurate values for $\alpha _{{{\mathit p}}}$ and $\alpha _{{{\mathit p}}}$ and a precise sum-rule result for $\alpha _{{{\mathit n}}}+\beta _{{{\mathit n}}}$. The second error is a model uncertainty, and errors on $\alpha _{{{\mathit n}}}$ and $\beta _{{{\mathit n}}}$ are anticorrelated.
3  KOLB 2000 obtains this value with an upper limit of $7.6 \times 10^{-4}~$fm${}^{3}$ but no lower limit from this experiment alone. Combined with results of ROSE 1990 , the 1-$\sigma$ range is ($1.2 - 7.6){\times }10^{-4}~$fm${}^{3}$.
References:
 MYERS 2014
PRL 113 262506 Measurement of Compton Scattering from the Deuteron and an Improved Extraction of the Neutron Electromagnetic Polarizabilities
 KOSSERT 2003
EPJ A16 259 Quasifree Compton Scattering and the Polarizabilities of the Neutron
 LUNDIN 2003
PRL 90 192501 Compton Scattering from the Deuteron and Neutron Polarizabilities
 KOLB 2000
PRL 85 1388 Quasifree Compton Scattering from the Deuteron and Nucleon Polarizabilities