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This study benchmarks partial-wave decomposition methods for hyperon-nucleon-nucleon three-body forces. It also assesses the impact of these forces on hypernuclear separation energies, crucial for nuclear physics calculations.

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Area of Science:

  • Nuclear Physics
  • Quantum Chromodynamics
  • Few-body and Many-body Systems

Background:

  • Explicit expressions for chiral hyperon-nucleon-nucleon (YN N) three-body forces have been derived.
  • Accurate and efficient partial-wave decomposition is essential for incorporating these forces into nuclear structure calculations.

Purpose of the Study:

  • To benchmark the accuracy and efficiency of two partial-wave decomposition methods for YN N potential matrix elements.
  • To quantitatively assess the contribution of YN N forces to the separation energies of hypernuclei.

Main Methods:

  • Computation of YN N potential matrix elements using two distinct partial-wave decomposition techniques.
  • Benchmark analysis comparing the results from the two decomposition methods.
  • Calculation of hypernuclear separation energies incorporating the YN N three-body forces.

Main Results:

  • The study presents a detailed comparison of two robust partial-wave decomposition methods for YN N forces.
  • The first quantitative assessment of YN N force contributions to hypernuclear separation energies is reported.
  • The findings validate computational methods for future nuclear physics applications.

Conclusions:

  • The presented benchmark provides confidence in the employed partial-wave decomposition techniques for YN N forces.
  • The quantitative assessment of YN N force contributions is a significant step towards more precise hypernuclear structure calculations.
  • This work facilitates the inclusion of three-body forces in advanced few- and many-body nuclear models.