property

electric dipole moment

A measure of charge distribution asymmetry in particles like protons and deuterons, sensitive to new physics beyond the Standard Model.
29 related articles · 5 formulas

Description

The electric dipole moment (EDM) of a particle is a measure of how its positive and negative charge distributions are separated, even when the particle is at rest. For a perfect sphere of charge, the EDM would be zero, but any asymmetry—like a slight 'pear shape'—produces a nonzero EDM. In the Standard Model of particle physics, EDMs are predicted to be extremely tiny, but many theories beyond the Standard Model (such as supersymmetry) predict much larger values. Therefore, measuring an EDM is a powerful 'smoking gun' for new physics, because any significant deviation from the Standard Model prediction would indicate undiscovered particles or forces.

History

The concept was introduced by Purcell and Ramsey in 1950, who proposed measuring the neutron's EDM. The first limits were set in the 1960s, and ever since, experiments have pushed the upper bound lower, with no detection yet—but each null result constrains theories of new physics.

How it works

To measure an EDM, physicists place particles (like protons, neutrons, or deuterons) in a strong electric field and look for a tiny precession of their spin, analogous to how a spinning top wobbles in a gravitational field. The challenge is that the effect is minuscule, so experiments use ultra-cold atoms, trapped ions, or molecular beams to maximize sensitivity. The corpus titles mention specific systems: the EDM of the tantalum-181 nucleus, the deuteron (a proton-neutron pair), and 'crooked electron' experiments. These measurements require extreme precision and control over magnetic fields, which is why they are often performed in dedicated laboratories.

In practice

EDM searches are used to test CP violation (the asymmetry between matter and antimatter) and to constrain models of particle physics beyond the Standard Model, which is essential for explaining why the universe has more matter than antimatter.

Fun fact

The current best limit on the electron's EDM, from the ACME experiment, is so precise that if the electron were scaled up to the size of the Earth, the charge separation would be less than the size of a single atom.

Concept graph →

Formulas

$$a = \frac{g-2}{2}$$
Deviation of magnetic moment from Dirac value.
What is in the formula
avariableanomalous magnetic moment — anomalous magnetic moment
gvariableLandé g-factor — lande g factor
a_μ=(g-2)/2 · 2512.02209
$$\tilde{\mu} = \mu (1 + A_D (\hat{n} \cdot \hat{p}))$$
Adds dipole modulation to a distance or magnitude measure.
What is in the formula
\tilde{\mu}variableCorrected distance modulus or magnitude — distance modulus
\muvariableOriginal distance modulus or magnitude — distance modulus
A_DvariableAmplitude of dipole anisotropy — dimensionless
\hat{n}variableUnit vector in the direction of observation — direction
\hat{p}variableUnit vector pointing toward the dipole axis — direction
\cdotoperatorScalar product of two vectors — dot product
\tilde{μ}_{th}=μ_{th}(1+a_d(\hat{n}*\hat{p})) · 2606.22302
$$B(E1) = \frac{3}{4\pi} (Ze)^2 \langle r^2 \rangle$$
Electric dipole transition probability proportional to mean square radius.
What is in the formula
B(E1)variableElectric dipole reduced transition probability — reduced transition probability coulomb squared metre squared
ZvariableAtomic number (number of protons) — atomic number
evariableElementary charge — elementary charge coulomb
⟨r²⟩variableMean square radius of the charge distribution — mean square radius metre squared
πconstantRatio of a circle's circumference to its diameter — pi = 3.14159
b(e1)=\frac{3}{π}(\frac{ze}{a})^2\langler^2_{c-nn}\rangle · 2606.28950
$$|\delta(t)| \approx |\delta_0| e^{\lambda t}$$
Lyapunov exponent measures the rate of divergence of nearby trajectories.
What is in the formula
δ(t)variableseparation between trajectories at time t — separation
δ₀variableinitial separation between trajectories — separation
λvariableLyapunov exponent — lyapunov exponent per second
tvariabletime — time second
|\δ(t)|\\approx|\δ_0|e^{\λt} · 2606.01855v1
λ=\lim_{t\to\infty}\lim_{δ_0\to0}\frac{1}{t}\ln\frac{|δ(t)|}{|δ_0|} · 2607.16763v1
$$I = \int r^2 dm$$
Moment of inertia measures mass distribution about axis.
What is in the formula
IvariableMoment of inertia about the axis — moment of inertia kilogram metre squared
rvariablePerpendicular distance from the axis to mass element — distance metre
dmvariableInfinitesimal mass element — mass kilogram
∫operatorIntegration over the entire body — integral operator
i=\frac{8π}{3}\int_0^rρ(r)r^4dr · 2607.02644

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