Error propagation from nucleon-nucleon data to three- and four-nucleon binding energies - INSPIRE

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Error propagation from nucleon-nucleon data to three- and four-nucleon binding energies

1993

16 pages

Published in:

Nucl.Phys.A 559 (1993) 157-172

Published: 1993

DOI:

10.1016/0375-9474(93)90184-Y

View in:

Nuclear Science References

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Abstract: (Elsevier)

Using inverse-scattering methods we determine a statistical distribution of 1 S 0 potentials from the experimental phase-shift errors. The propagation of such errors in few-nucleon systems is investigated by calculating the corresponding triton and α-particle binding energies E t and E α . For this purpose we replace the Reid-soft-core 1 S 0 potential by this distribution of 160 potentials, while leaving the 3 S 1 - 3 D 1 RSC potentials unchanged. The binding energies have been calculated efficiently by means of the integrodifferential equation approach. Standard deviations of 0.04 and 0.09 MeV are obtained for E t and E α , which are expected to increase by a large factor once a similar analysis is performed on the 3 S 1 - 3 D 1 channel and combined with the 1 S 0 distribution in our calculations. Theoretical constraints on the potential due to pion exchange have been introduced via statistical regularization, taking the uncertainty in the π NN coupling constant into account. This approach can also be used to determine which improvements in nucleon-nucleon measurements are most suitable in reducing uncertainties in few-nucleon properties.

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