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{{redirect|NEDM|the Sussex experiment|Sussex/RAL/ILL neutron EDM experiment|}}


The '''[[neutron]] [[electric dipole moment]] (nEDM)''' is a measure for the distribution of positive and negative charge inside the neutron. A finite electric dipole moment can only exist if the centers of the negative and positive charge distribution inside the particle do not coincide. So far, no neutron EDM has been found. The current best upper limit amounts to {{nowrap|{{!}}''d<sub>n</sub>''{{!}} < {{val|2.9|e=-26}}[[Elementary charge|''e'']]·cm}}.<ref>{{cite journal
| last = Baker | first = C. A. | coauthors = et al.
| year = 2006
| title =  Improved Experimental Limit on the Electric Dipole Moment of the Neutron
| journal = [[Physical Review Letters]]
| volume = 97 | pages = 131801
| doi = 10.1103/PhysRevLett.97.131801
| pmid=17026025
| bibcode=2006PhRvL..97m1801B
| issue = 13
|arxiv = hep-ex/0602020 }}</ref>


== Theory ==
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[[Image:NEDM P&T violation.png|thumb|right|Parity (P) and time reversal (T) violation due to an electric dipole moment]]
A permanent electric dipole moment of a fundamental particle violates both [[Parity (physics)|parity]] (P) and [[T-symmetry|time reversal symmetry]] (T). This can be understood by examining the neutron with its [[Magnetic moment|magnetic dipole moment]] and hypothetical electric dipole moment. Under time reversal, the magnetic dipole moment changes its direction, whereas the electric dipole moment stays unchanged. Under parity, the electric dipole moment changes its direction but not the magnetic dipole moment. As the resulting system under P and T is not symmetric with respect to the initial system, these symmetries are violated in the case of the existence of an EDM. Having also [[CPT symmetry]], the combined symmetry [[CP-violation|CP]] is violated as well.
 
=== Standard Model prediction ===
As seen above, in order to generate a finite nEDM one needs processes that [[CP violation|violate]] [[CP symmetry]]. CP violation has been observed in [[weak interaction]]s and is included in the [[Standard Model|Standard Model of particle physics]] via the CP-violating phase in the [[Cabibbo–Kobayashi–Maskawa matrix|CKM]] matrix. However, the amount of CP violation is very small and therefore also the contribution to the nEDM: {{nowrap|{{!}}''d<sub>n</sub>''{{!}} ~ 10<sup>–32</sup>''e''·cm}}.<ref>
{{cite arxiv
| last = Dar | first = S.
| year = 2000
| title =  The Neutron EDM in the SM : A Review
| class = hep-ph | eprint = hep-ph/0008248
}}</ref>
 
=== Matter&ndash;antimatter asymmetry ===
{{main|Baryogenesis}}
 
From the asymmetry between matter and antimatter in the universe, one suspects that there must be a sizeable amount of [[CP-violation]]. Measuring a neutron electric dipole moment at a much higher level than predicted by the Standard Model would therefore directly confirm this suspicion and improve our understanding of CP-violating processes.
 
=== Strong CP problem ===
{{main|CP-violation}}
 
As the neutron is built up of [[quark]]s, it is also susceptible to CP violation stemming from [[strong interaction]]s. [[Quantum chromodynamics]] – the theoretical description of the strong force - naturally includes a term which breaks CP-symmetry. The strength of this term is characterized by the angle ''θ''. The current limit on the nEDM constrains this angle to be less than 10<sup>−10</sup> rad. This [[fine-tuning]] of the ''θ''-angle, which is naturally expected to be of order 1, is the strong CP problem.
 
=== SUSY CP problem ===
[[Supersymmetry|Supersymmetric]] extensions to the Standard Model, such as the [[Minimal Supersymmetric Standard Model]], generally lead to a large [[CP-violation]]. Typical predictions for the neutron EDM arising from the theory range between {{nowrap|10<sup>–25</sup>''e''·cm}} and {{nowrap|10<sup>–28</sup>''e''·cm}}.<ref>{{cite journal
| last = Abel | first = S. | last2 = Khalil
| last3 = Lebedev
| year = 2001
| title =  EDM constraints in supersymmetric theories
| journal = [[Nuclear Physics B]]
| volume = 606 | pages = 151–182
| doi = 10.1016/S0550-3213(01)00233-4 | first2 = S. | first3 = O.
|arxiv = hep-ph/0103320 |bibcode = 2001NuPhB.606..151A }}</ref><ref>
{{cite journal
| last = Pospelov | first = M. | last2 = Ritz
| year = 2005
| title =  Electric dipole moments as probes of new physics
| journal = [[Annals of Physics]]
| volume = 318 | pages = 119–169
| doi = 10.1016/j.aop.2005.04.002 | first2 = A.
|arxiv = hep-ph/0504231 |bibcode = 2005AnPhy.318..119P }}
</ref> As in the case of the [[strong interaction]], the limit on the neutron EDM is already constraining the CP violating phases. The [[fine-tuning]] is, however, not as severe yet.
 
== Experimental technique ==
In order to extract the neutron EDM, one measures the [[Larmor precession]] of the neutron [[Spin (physics)|spin]] in the presence of parallel and antiparallel magnetic and electric fields. The precession frequency for each of the two cases is given by
 
:<math> h\nu = 2\mu_n B \pm 2d_n E </math>,
 
the addition or subtraction of the frequencies stemming from the precession of the [[magnetic moment]] around the [[magnetic field]] and the precession of the electric dipole moment around the [[electric field]]. From the difference of those two frequencies one readily obtains a measure of the neutron EDM:
 
:<math> d_n = \frac{h\,\Delta\nu}{4E} </math>
 
The biggest challenge of the experiment (and at the same time the source of the biggest systematic false effects) is to ensure that the [[magnetic field]] does not change during these two measurements.
 
== History ==
[[Image:NEDM limit history.png|300px|thumb|right|Measured upper limits of the neutron EDM. Given are also the predictions stemming from Supersymmetry and the Standard Model]]
 
The first experiments searching for the electric dipole moment of the neutron used beams of [[Neutron temperature|thermal]] (and later [[Neutron temperature|cold]]) neutrons to conduct the measurement. It started with the experiment by Smith, [[Edward Mills Purcell|Purcell]] and [[Norman Foster Ramsey, Jr.|Ramsey]] in 1951 (and published in 1957) obtaining a limit of  {{nowrap|{{!}}''d<sub>n</sub>''{{!}} < {{val|5|e=-20}}''e''·cm}}.<ref>{{cite journal
| last = Smith | first = J. H. | last2 = Purcell | first2 = E. M.
| last3 = Ramsey | first3 = N. F.
| year = 1957
| title =  Experimental Limit to the Electric Dipole Moment of the Neutron
| journal = [[Physical Review]]
| volume = 108 | pages = 120–122
| doi = 10.1103/PhysRev.108.120
|bibcode = 1957PhRv..108..120S }}</ref> Beams of neutrons were used until 1977 for nEDM experiments. At this point, systematic effects related to the high velocities of the neutrons in the beam became insurmountable. The final limit obtained with a neutron beam amounts to {{nowrap|{{!}}''d<sub>n</sub>''{{!}} < {{val|3|e=-24}}''e''·cm}}.<ref>
{{cite journal
| last = Dress | first = W. B. | coauthors = et al.
| year = 1977
| title = Search for an electric dipole moment of the neutron
| journal = [[Physical Review D]]
| volume = 15 | pages = 9–21
| doi = 10.1103/PhysRevD.15.9
|bibcode = 1977PhRvD..15....9D }}</ref>
 
After that, experiments with [[ultracold neutrons]] took over. It started in 1980 with an experiment at the [[Leningrad Nuclear Physics Institute]] obtaining a limit of {{nowrap|{{!}}''d<sub>n</sub>''{{!}} < {{val|1.6|e=-24}}''e''·cm}}.<ref>
{{cite journal
| last = Altarev | first = I. S. | coauthors = et al.
| year = 1980
| title = A search for the electric dipole moment of the neutron using ultracold neutrons
  | journal = [[Nuclear Physics A]]
| volume = 341 | pages = 269–283
| doi = 10.1016/0375-9474(80)90313-9
| issue = 2
|bibcode = 1980NuPhA.341..269A }}</ref> This experiment and especially the experiment starting in 1984 at the [[Institut Laue-Langevin]] pushed the limit down by another two [[Order of magnitude|orders of magnitude]] yielding the above quoted best upper limit in 2006.
 
During these 50 years of experiments, six [[Order of magnitude|orders of magnitude]] have been covered thereby putting stringent constraints on theoretical models.<ref>
{{cite journal
| last = Ramsey | first = N. F.
| year = 1982
| title = Electric-Dipole Moments of Particles
| journal = [[Ann. Rev. Nucl. Part. Sci.]]
| volume = 32 | pages = 211–233
| doi = 10.1146/annurev.ns.32.120182.001235
|bibcode = 1982ARNPS..32..211R }}</ref>
 
== Current experiments ==
Currently, there are at least five experiments aiming at improving the current limit (or measuring for the first time) on the neutron EDM with a sensitivity down to {{nowrap|10<sup>–28</sup>''e''·cm}} over the next 10 years, thereby covering the range of prediction coming from [[Supersymmetry|Supersymmetric]] extensions to the Standard Model.
* [[Cryogenic neutron EDM experiment]] being set up at the [[Institut Laue-Langevin]]<ref>[http://hepwww.rl.ac.uk/EDM/index_files/CryoEDM.htm hepwww.rl.ac.uk Cryogenic EDM]</ref>
* nEDM experiment under construction at the new UCN source at the [[Paul Scherrer Institute]]<ref>[http://nedm.web.psi.ch/ nedm.web.psi.ch]</ref>
* nEDM experiment being envisaged at the [[Spallation Neutron Source]]<ref>[http://p25ext.lanl.gov/edm/edm.html p25ext.lanl.gov on EDM]</ref>
* nEDM experiment being built at the [[Institut Laue-Langevin]]<ref>[http://nrd.pnpi.spb.ru/LabSereb/neutronedm.htm nrd.pnpi.spb.ru Neutron EDM page]</ref>
* nEDM experiment being built at the [[Forschungsreaktor München II]]<ref>[http://nedm.ph.tum.de/index.html nEDM experiment FRM-II]</ref>
 
== References ==
<div class="references-1column">
<references/>
</div>
 
{{DEFAULTSORT:Neutron Electric Dipole Moment}}
[[Category:Electromagnetism]]
[[Category:Particle physics]]

Latest revision as of 12:08, 30 September 2014


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