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In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
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Covariant Compton Amplitudes in Gravity with Classical Spin.

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We developed a new method to calculate gravitational amplitudes for spinning particles and gravitons, avoiding unphysical poles. This technique reveals a pattern for high-spin interactions, potentially applicable to all orders.

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Area of Science:

  • Theoretical physics
  • Quantum gravity
  • High-energy particle physics

Background:

  • Calculating scattering amplitudes in quantum gravity is complex.
  • Unphysical poles can arise in amplitude calculations.
  • Understanding interactions between spinning particles and gravitons is crucial.

Purpose of the Study:

  • To develop a novel amplitude bootstrap technique free of unphysical poles.
  • To calculate high-spin-order covariant gravitational Compton amplitudes.
  • To identify a general pattern for these amplitudes.

Main Methods:

  • Utilizing the double-copy technique.
  • Applying physical factorization limits.
  • Incorporating nonfactorization polynomial contact terms from Kerr black hole data.

Main Results:

  • A manifestly pole-free amplitude bootstrap technique was developed.
  • High-spin-order covariant gravitational Compton amplitudes were addressed.
  • A pattern for the amplitude was identified, potentially extending to all orders in spin.

Conclusions:

  • The developed technique offers a robust way to compute gravitational amplitudes.
  • The identified pattern suggests a universal structure in high-spin gravitational interactions.
  • Further applications and open questions in the field were outlined.