dorsal/arxiv
View SchemaCalculations of scattering lengths in four-nucleon system on the basis of cluster reduction method for Yakubovsky equations
| Authors | S. L. Yakovlev, I. N. Filikhin |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9701020 |
| URL | https://arxiv.org/abs/nucl-th/9701020 |
Abstract
The cluster reduction method for the Yakubovsky equations in configuration space is used for calculations of zero-energy scattering in four-nucleon system. The main idea of the method consists in making use of expansions for the Yakubovsky amplitudes onto the basis of the Faddeev components for the two-cluster sub-Hamiltonian eigenfunctions. The expansions reduce the original equations to ones for the functions depending on the relative coordinates between the clusters. On the basis of the resulting equations the N-(NNN) zero-energy scattering problems are solved numerically with the MT I-III model for N-N forces and neglecting the Coulomb interaction between protons.
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"date_created": "2026-03-02T18:00:18.743000Z",
"date_modified": "2026-03-02T18:00:18.743000Z",
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"abstract": "The cluster reduction method for the Yakubovsky equations in configuration\nspace is used for calculations of zero-energy scattering in four-nucleon\nsystem. The main idea of the method consists in making use of expansions for\nthe Yakubovsky amplitudes onto the basis of the Faddeev components for the\ntwo-cluster sub-Hamiltonian eigenfunctions. The expansions reduce the original\nequations to ones for the functions depending on the relative coordinates\nbetween the clusters. On the basis of the resulting equations the N-(NNN)\nzero-energy scattering problems are solved numerically with the MT I-III model\nfor N-N forces and neglecting the Coulomb interaction between protons.",
"arxiv_id": "nucl-th/9701020",
"authors": [
"S. L. Yakovlev",
"I. N. Filikhin"
],
"categories": [
"nucl-th"
],
"title": "Calculations of scattering lengths in four-nucleon system on the basis of cluster reduction method for Yakubovsky equations",
"url": "https://arxiv.org/abs/nucl-th/9701020"
},
"schema_id": "dorsal/arxiv",
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"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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