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Related Concept Videos

Paramagnetism01:30

Paramagnetism

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Paramagnets are materials with unpaired electrons that possess a finite magnetic moment. In the absence of a magnetic field, these moments are randomly oriented, and thus the net moment is zero. Under an external field, a torque acting on the moments tends to align them along the field's direction. However, the random thermal motion of electrons produces a torque opposite to the external field and tries to disorient the moments. These two competing effects align only a few moments along the...
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Diamagnetism01:26

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Materials consisting of paired electrons have zero net magnetic moments. However, when these materials are placed under an external magnetic field, the moments opposite to the field are induced. Such materials are called diamagnets. Diamagnetism is the response of the diamagnets when placed in an external magnetic field.
Diamagnetism was discovered by Anton Brugmans in 1778 when he observed that bismuth gets repelled by magnetic fields, thus theorizing that diamagnets get repelled by magnets....
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Electric Dipoles and Dipole Moment01:30

Electric Dipoles and Dipole Moment

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Consider two charges of equal magnitude but opposite signs. If they cannot be separated by an external electric field, the system is called a permanent dipole. For example, the water molecule is a dipole, making it a good solvent.
Theoretically, studying electric dipoles leads to understanding why the resultant electric forces around us are weak. Since electric forces are strong, remnant net charges are rare. Hence, the interaction between dipoles helps us understand electrical interactions in...
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Magnetic Moment of an Electron01:23

Magnetic Moment of an Electron

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Electrons revolving around a nucleus are analogous to a circular current carrying loop. This current produces a magnetic dipole moment proportional to the electron's orbital angular momentum. Since the orbital angular momentum is quantized in terms of the reduced Planck's constant, the dipole moment is quantized in the Bohr Magneton. The value of the Bohr magneton is 9.27 x 10-24 Am2. Electrons also have an intrinsic spin angular momentum, and the associated spin magnetic moment is...
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Induced Electric Dipoles01:28

Induced Electric Dipoles

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A permanent electric dipole orients itself along an external electric field. This rotation can be quantified by defining the potential energy because the external torque does work in rotating it. Then, the potential energy is minimum at the parallel configuration and maximum at the antiparallel configuration. While the former is a stable equilibrium, the latter is an unstable equilibrium.
Since the absolute value of potential energy holds no physical meaning, its zero value can be chosen as per...
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Potential Due to a Magnetized Object01:24

Potential Due to a Magnetized Object

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Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
The vector...
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Standard Model Prediction for Paramagnetic Electric Dipole Moments.

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Standard Model CP violation predicts small electric dipole moments (EDMs). This study finds paramagnetic EDMs are larger than expected, calculable via chiral perturbation theory, offering new insights into fundamental physics.

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Area of Science:

  • Particle Physics
  • Quantum Chromodynamics
  • Electroweak Interactions

Background:

  • Standard Model CP violation, linked to the Cabibbo-Kobayashi-Maskawa matrix, yields small predictions for electric dipole moments (EDMs).
  • Existing predictions for neutron and atomic EDMs have significant uncertainties.

Purpose of the Study:

  • To investigate CP-violating observables related to electron spin (paramagnetic EDMs).
  • To determine if these observables can be calculated with reduced uncertainty.

Main Methods:

  • Analysis of electroweak penguin diagrams and Delta I = 1/2 weak transitions in the baryon sector.
  • Application of chiral perturbation theory for calculations.

Main Results:

  • Paramagnetic EDMs are dominated by specific electroweak and weak transition contributions.
  • The predicted size of the semileptonic operator C_S is 7x10^-16.
  • This corresponds to an equivalent electron EDM d_e^eq of 1.0x10^-35 e cm.

Conclusions:

  • The calculated paramagnetic EDM is 3 orders of magnitude larger than previously estimated.
  • This provides a calculable observable for probing CP violation beyond current Standard Model predictions.