${{\mathit n}}$ ELECTRIC POLARIZABILITY ${{\mathit \alpha}_{{{n}}}}$ INSPIRE search

Following is the electric polarizability $\alpha _{\mathit n}$ defined in terms of the induced electric dipole moment by $\mathbf {D}$ = 4$\pi \epsilon _{0}\alpha _{\mathit n}\mathbf {E}$. For a review, see SCHMIEDMAYER 1989.

For a very complete reviews of the polarizability of the nucleon and Compton scattering, see SCHUMACHER 2005, updated in SCHUMACHER 2019, and GRIESSHAMMER 2012.

S017EPL

VALUE ($ 10^{-4} $ fm${}^{3}$)

DOCUMENT ID

TECN

COMMENT

$\bf{ 11.8 \pm1.1}$

OUR AVERAGE

$11.55$ $\pm1.25$ $\pm0.8$

MYERS

2014

CNTR

${{\mathit \gamma}}$ ${{\mathit d}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit d}}$

$12.5$ $\pm1.8$ ${}^{+1.6}_{-1.3}$

KOSSERT

2003

CNTR

${{\mathit \gamma}}$ ${{\mathit d}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit p}}{{\mathit n}}$

$12.0$ $\pm1.5$ $\pm2.0$

SCHMIEDMAYER

1991

CNTR

${{\mathit n}}{}^{}\mathrm {Pb}$ transmission

$10.7$ ${}^{+3.3}_{-10.7}$

ROSE

1990

CNTR

${{\mathit \gamma}}$ ${{\mathit d}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit n}}{{\mathit p}}$

• • • We do not use the following data for averages, fits, limits, etc. • • •

$8.8$ $\pm2.4$ $\pm3.0$

LUNDIN

2003

CNTR

${{\mathit \gamma}}$ ${{\mathit d}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit d}}$

$13.6$

KOLB

2000

CNTR

${{\mathit \gamma}}$ ${{\mathit d}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit n}}{{\mathit p}}$

$0.0$ $\pm5.0$

⁴

KOESTER

1995

CNTR

${{\mathit n}}{}^{}\mathrm {Pb}$, ${{\mathit n}}{}^{}\mathrm {Bi}$ transmission

$11.7$ ${}^{+4.3}_{-11.7}$

ROSE

1990

CNTR

See ROSE 1990B

$8$ $\pm10$

KOESTER

1988

CNTR

${{\mathit n}}{}^{}\mathrm {Pb}$, ${{\mathit n}}{}^{}\mathrm {Bi}$ transmission

$12$ $\pm10$

SCHMIEDMAYER

1988

CNTR

${{\mathit n}}{}^{}\mathrm {Pb}$, ${{\mathit n}}{}^{}\mathrm {C}$ transmission

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. The data from this paper aer included in the analysis of MYERS 2014.

³ KOLB 2000 obtains this value with a lower limit of $7.6 \times 10^{-4}~$fm${}^{3}$ but no upper limit from this experiment alone. Combined with results of ROSE 1990, the 1-$\sigma $ range is ($7.6 - 14.0){\times }10^{-4}~$fm${}^{3}$.

⁴ KOESTER 1995 uses natural Pb and the isotopes 208, 207, and 206. See this paper for a discussion of methods used by various groups to extract $\alpha _{{{\mathit n}}}$ from data.

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

Also

PRL 88 162301

Neutron Polarizabilities Investigated by Quasifree Compton Scattering from the Deuteron