${{\boldsymbol p}}$ MAGNETIC POLARIZABILITY ${{\boldsymbol \beta}_{{p}}}$
INSPIRE search
The electric and magnetic polarizabilities are subject to a dispersion sum-rule constraint ${{\overline{\mathit \alpha}}}$ $+$ ${{\overline{\mathit \beta}}}$ = ($14.2$ $\pm0.5$) $ \times 10^{-4}$ fm${}^{3}$. Errors here are anticorrelated with those on ${{\overline{\mathit \alpha}}_{{p}}}$ due to this constraint.
| $\bf{
2.5 \pm0.4}$
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OUR AVERAGE
Error includes scale factor of 1.2.
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| $3.15$ $\pm0.35$ $\pm0.36$ |
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RVUE |
| $3.4$ $\pm1.1$ $\pm0.1$ |
1 |
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| $1.43$ $\pm0.98$ ${}^{+0.52}_{-0.98}$ |
2 |
|
LEGS |
| $1.2$ $\pm0.7$ $\pm0.5$ |
3 |
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CNTR |
| $2.1$ $\pm0.8$ $\pm0.5$ |
4 |
|
RVUE |
| • • • We do not use the following data for averages, fits, limits, etc. • • • |
| $2.3$ $\pm0.9$ $\pm0.7$ |
5 |
|
RVUE |
| $1.7$ $\pm0.6$ $\pm0.9$ |
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CNTR |
| $4.4$ $\pm0.4$ $\pm1.1$ |
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CNTR |
| $3.58$ ${}^{+1.19}_{-1.25}$ ${}^{+1.03}_{-1.07}$ |
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CNTR |
| $3.3$ $\pm2.2$ $\pm1.3$ |
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CNTR |
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1
BEANE 2003 uses effective field theory and low-energy ${{\mathit \gamma}}{{\mathit p}}$ and ${{\mathit \gamma}}{{\mathit d}}$ Compton-scattering data. It also gets for the isoscalar polarizabilities (see the erratum) $\alpha _{\mathit N}$= ($13.0$ $\pm1.9$ ${}^{+3.9}_{-1.5}$) $ \times 10^{-4}$ fm${}^{3}$ and $\beta _{\mathit N}$= ($-1.8$ $\pm1.9$ ${}^{+2.1}_{-0.9}$) $ \times 10^{-4}$ fm${}^{3}$.
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2
BLANPIED 2001 gives ${{\mathit \alpha}_{{p}}}+{{\mathit \beta}_{{p}}}$ and ${{\mathit \alpha}_{{p}}}−{{\mathit \beta}_{{p}}}$. The separate ${{\mathit \alpha}_{{p}}}$ and ${{\mathit \beta}_{{p}}}$ are provided to us by A.$~$Sandorfi. The first error above is statistics plus systematics; the second is from the model.
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3
This OLMOSDELEON 2001 result uses the TAPS data alone, and does not use the (re-evaluated) sum-rule constraint that ${{\mathit \alpha}}+{{\mathit \beta}}$= ($13.8$ $\pm0.4$) $ \times 10^{-4}~$fm${}^{3}$. See the paper for a discussion.
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4
MACGIBBON 1995 combine the results of ZIEGER 1992 , FEDERSPIEL 1991 , and their own experiment to get a ``global average'' in which model errors and systematic errors are treated in a consistent way. See MACGIBBON 1995 for a discussion.
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5
BARANOV 2001 combines the results of 10 experiments from 1958 through 1995 to get a global average that takes into account both systematic and model errors and does not use the theoretical constraint on the sum $\alpha _{{{\mathit p}}}+\beta _{{{\mathit p}}}$.
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| References: |
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| EPJ A49 12 |
Compton Scattering from the Proton in an Effective Field Theory with Explicit Delta Degrees of Freedom |
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| PL B567 200 |
Nucleon Polarizabilities from Low-Energy Compton Scattering |
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| PPN 32 376 |
Experimental Status of the Electric and Magnetic Polarizabilities of a Proton |
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| PR C64 025203 |
${{\mathit N}}$ $\rightarrow$ ${{\mathit \Delta}}$ Transition and Proton Polarizabilities from Measurements of ${{\mathit p}}$ (${{\mathit \gamma}}↑$, ${{\mathit \gamma}}$), ${{\mathit p}}$ (${{\mathit \gamma}}↑$, ${{\mathit \pi}^{0}}$), and ${{\mathit p}}$ (${{\mathit \gamma}}↑$, ${{\mathit \pi}^{+}}$) |
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| EPJ A10 207 |
Low Energy Compton Scattering and the Polarizability of the Proton |
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| PR C52 2097 |
Measurement of the Electric and Magnetic Polarizabilities of the Proton |
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| PR C48 1497 |
Compton Scattering from the Proton |
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| PL B278 34 |
180$^\circ{}$ Compton Scattering by Proton below the Pion Threshold |
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| PRL 67 1511 |
Proton Compton Effect: a Measurement of the Electric and Magnetic Polarizabilities of the Proton |
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