Conference paper
New method for solving the Nd breakup scattering problem in configuration space
V. M. Suslov
; Department of Mathematical and Computational Physics, Sankt-Petersburg State University, Ul'yanovskaya 1, Petrodvorets, Sankt-Petersburg, 198504, Russia
B. Vlahović
; Physics Department, North Carolina Central University, 1801 Fayetteville Street, Durham, NC 27707, USA
Abstract
A new computational method for solving the configuration-space Faddeev equations for a three-nucleon system has been developed. This method is based on the spline-decomposition in the angular variable and on a generalization of the Numerov method for the hyperradius. The s-wave calculations of the inelasticity and phase-shift, as well as of the breakup amplitudes for nd and pd breakup scattering for lab energies 14.1 and 42.0 MeV have been performed using the Malfliet-Tjon MT I-III potential. In the case of nd breakup scattering, the results are in good agreement with those of the benchmark solution (J. L. Friar et al., Phys. Rev. C 42 (1990) 1838 and J. L. Friar et al., Phys. Rev. C 51 (1995) 2356). In the case of pd quartet breakup scattering, disagreement for the inelasticities reaches up to 6% when compared with the results of the Pisa group (A. Kievsky et al., Phys. Rev. C 64 (2001) 024002). The calculated pd amplitudes fulfill the optical theorem with a good precision.
Keywords
Faddeev equations; three-nucleon system; Malfliet-Tjon MT I-III potential; breakup scattering; optical theorem
Hrčak ID:
305889
URI
Publication date:
1.6.2004.
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