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Ab initio alpha-alpha scattering.

Serdar Elhatisari1, Dean Lee2, Gautam Rupak3

  • 1Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, Germany.

Nature
|December 4, 2015
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Summary
This summary is machine-generated.

We present a novel ab initio calculation of alpha-alpha scattering using lattice Monte Carlo simulations. This method offers a computationally efficient approach for understanding stellar nucleosynthesis and related nuclear reactions.

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Area of Science:

  • Nuclear Physics
  • Astrophysics
  • Computational Physics

Background:

  • Alpha particles and alpha-like nuclei are crucial in stellar nucleosynthesis, influencing element abundance and supernova models.
  • Accurate calculations of alpha scattering and capture are vital for understanding background and resonant scattering contributions.
  • Previous first-principles calculations were computationally impractical due to exponential scaling.

Purpose of the Study:

  • To develop an efficient ab initio method for calculating alpha-alpha scattering.
  • To enable accurate predictions of nuclear reactions important for stellar evolution and supernovae.
  • To explore the application of these methods to few-body atomic and hadronic systems.

Main Methods:

  • Utilized lattice Monte Carlo simulations and lattice effective field theory for low-energy nuclear interactions.
  • Employed the adiabatic projection method to simplify the eight-body system into a two-cluster system.
  • Leveraged auxiliary-field Monte Carlo simulations for computational efficiency and favorable scaling.

Main Results:

  • Achieved promising agreement between lattice results and experimental phase shifts for s-wave and d-wave scattering.
  • Demonstrated an approximately quadratic scaling of computational operations with particle number.
  • Established a viable computational framework for ab initio calculations of alpha-alpha scattering.

Conclusions:

  • The developed ab initio method provides an efficient and accurate approach to alpha-alpha scattering.
  • Future applications include calculating alpha scattering and capture on heavier nuclei like carbon and oxygen.
  • The methodology is adaptable to ultracold atomic few-body systems and hadronic systems via lattice quantum chromodynamics.