Microscopic Calculation of the ${}^4\mathrm{He}$ System

Abstract

We report on a consistent, microscopic calculation of the bound and scattering states in the 4He system employing a realistic nucleon-nucleon potential in the framework of the resonating group model (RGM). We present for comparison with these microscopic RGM calculations the results from a charge-independent, Coulomb-corrected R-matrix analysis of all types of data for reactions in the A=4 system. Comparisons are made between the phase shifts, and with a selection of measurements from each reaction, as well as between the resonance spectra obtained from both calculations. In general, the comparisons are favorable, but distinct differences are observed between the RGM calculations and some of the polarisation data. The partial-wave decomposition of the experimental data produced by the R-matrix analysis shows that these differences can be attributed to just a few S-matrix elements, for which inadequate tensor-force strength in the N-N interaction used appears to be responsible.

53 pages, PS document can also be found at ftp://theorie3.physik.uni-erlangen.de/pub/publications/he4.ps.gz

References in corpus (1)

• An accurate nucleon-nucleon potential with charge-independence breaking

Cited by in corpus (16)

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• Benchmark calculation of n-3H and p-3He scattering
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• Inversion doublets of 3N+N cluster structure in excited states of ${}^4$He
• Four-nucleon scattering with a correlated Gaussian basis method
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• Elastic p-3He and n-3H scattering with two- and three-body forces
• Microscopic calculation of the spin-dependent neutron scattering lengths on 3He
• Nature of the first excited state of He-4
• Deuteron -- $\alpha$ interaction by inversion of RGM S-matrix: determination of spin-orbit potential for spin-1 projectile
• The $A_y$-Problem in Refined Resonating Group Model calculations for ($p{-}^3\mathrm{He}$) Scattering
• Three-Nucleon Force in the 4He Scattering System