FIZIKA B 13 (2004) 2, 609-624
NEW METHOD FOR SOLVING THE Nd BREAKUP SCATTERING PROBLEM IN
V. M. SUSLOVa and B. VLAHOVI∆b
aDepartment of Mathematical and Computational Physics,
Sankt-Petersburg State University, Ul'yanovskaya 1, Petrodvorets, Sankt-Petersburg,
bPhysics Department, North Carolina Central University, 1801 Fayetteville
Street, Durham, NC 27707, USA
Received 27 October 2003; Accepted 18 October 2004
Online 22 November 2004
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.
PACS numbers: 21.45.+v, 11.80.Jy, 25.45.De
Keywords: Faddeev equations, three-nucleon system, Malfliet-Tjon MT I-III potential,
breakup scattering, optical theorem