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Four-Body Bound State Calculations in Three-Dimensional Approach
Nuclear Theory · Submitted 24 May 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Results for four-body binding energies are in good agreement with achievements of the other methods.
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The abstract, sentence by sentence
The four-body bound state with two-body interactions is formulated in Three-Dimensional approach, a recently developed momentum space representation which greatly simplifies the numerical calculations of few-body systems without performing the partial wave decomposition. The obtained three-dimensional Faddeev-Yakubovsky integral equations are solved with two-body potentials. Results for four-body binding energies are in good agreement with achievements of the other methods.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The four-body bound state with two-body interactions is formulated in Three-Dimensional approach, a recently developed momentum space representation which greatly simplifies the numerical calculations of few-body systems without performing the partial wave decomposition. | contribution 0.54 | 0.59 | 0.16 | asserted 1.00 |
| s1 | The obtained three-dimensional Faddeev-Yakubovsky integral equations are solved with two-body potentials. | method 0.96 | 0.90 | 0.08 | asserted 1.00 |
| s2 | Results for four-body binding energies are in good agreement with achievements of the other methods. | result 0.96 | 0.85 | 0.67 | asserted 0.99 |
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Original abstract
The four-body bound state with two-body interactions is formulated in Three-Dimensional approach, a recently developed momentum space representation which greatly simplifies the numerical calculations of few-body systems without performing the partial wave decomposition. The obtained three-dimensional Faddeev-Yakubovsky integral equations are solved with two-body potentials. Results for four-body binding energies are in good agreement with achievements of the other methods.
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Uses its method or tool 1 paper
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Similar to Refs. [ref] , we solve the FY equations, too, in a partial-wave momentum basis.
Three- and four-boson systems expanded around the unitarity limit: Application to $^4$He molecules · Short-Range EFT in the Faddeev-Yakubovsky Formalism · 0.99
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