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Related Experiment Videos

Perturbative effective theory in an oscillator basis?

W C Haxton1, T Luu

  • 1Institute for Nuclear Theory, Box 351550, and Department of Physics, Box 351560, University of Washington, Seattle, Washington 98195, USA.

Physical Review Letters
|October 26, 2002
PubMed
Summary

Solving the nuclear physics effective interaction problem is challenging due to nonperturbative behavior. This study shows a method to circumvent these difficulties, yielding perturbative results even with modest computational spaces.

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Area of Science:

  • Nuclear Physics
  • Quantum Mechanics
  • Computational Physics

Background:

  • The effective interaction problem in nuclear physics is typically nonperturbative.
  • Accurate solutions often require extensive high-momentum spaces.
  • Harmonic oscillator Slater determinant bases present short- and long-distance challenges.

Purpose of the Study:

  • To address the challenges in solving the effective interaction problem in nuclear physics.
  • To demonstrate a method for circumventing difficulties associated with basis limitations.
  • To achieve perturbative results in nuclear potential calculations.

Main Methods:

  • Analyzing the effective interaction problem in nuclear physics.
  • Utilizing a basis of harmonic oscillator Slater determinants.

Related Experiment Videos

  • Testing the method on the simplest case: the deuteron.

    • Main Results:

    • Identified difficulties arising from basis limitations at short and long distances.
    • Developed a method to circumvent these difficulties.
    • Achieved highly perturbative results for the deuteron potential with modest included spaces.

    Conclusions:

    • The proposed method effectively addresses the nonperturbative nature of the effective interaction problem.
    • Basis limitations in harmonic oscillator Slater determinant spaces can be overcome.
    • Perturbative results are attainable for nuclear interactions with reduced computational demands.