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

INSPIRE   PDGID:

S017EPL

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 .

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 ${{\mathit \gamma}}$ ${{\mathit d}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit d}}$ $12.5$ $\pm1.8$ ${}^{+1.6}_{-1.3}$ 1 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 B CNTR ${{\mathit \gamma}}$ ${{\mathit d}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit n}}{{\mathit p}}$ • • We do not use the following data for averages, fits, limits, etc. • • $8.8$ $\pm2.4$ $\pm3.0$ 2 LUNDIN 2003 CNTR ${{\mathit \gamma}}$ ${{\mathit d}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit d}}$ $13.6$ 3 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 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 KOESTER 1995 PR C51 3363 Neutrino Electron Scattering Length and Electric Polarizability of the Neutron Derived from Cross Sections of Bismuth and of Lead and its Isotopes SCHMIEDMAYER 1991 PRL 66 1015 Measurement of the Electric Polarizability of the Neutron ROSE 1990B NP A514 621 Quasi-Free Compton Scattering by the Neutron ROSE 1990 PL B234 460 Polarizability of the Neutron KOESTER 1988 ZPHY A329 229 Experimental Study on the Electric Polarizability of the Neutron SCHMIEDMAYER 1988 PRL 61 1065 Measurement of the Electric Polarizability of the Neutron Also PRL 61 2509 (erratum) Erratum to SCHMIEDMAYER 1988 . Measurement of the Electric Polarizability of the Neutron