FIZIKA B 13 (2004)  2, 609-624

 size 256 kBsize 677 kB

NEW METHOD FOR SOLVING THE Nd BREAKUP SCATTERING PROBLEM IN CONFIGURATION SPACE

V. M. SUSLOVa and B. VLAHOVI∆b

aDepartment of Mathematical and Computational Physics, Sankt-Petersburg State University, Ul'yanovskaya 1, Petrodvorets, Sankt-Petersburg, 198504, Russia
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
UDC 539.12

Keywords: Faddeev equations, three-nucleon system, Malfliet-Tjon MT I-III potential, breakup scattering, optical theorem

Copyright by The Croatian Physical Society
For problems or questions please contact fizika@fizika.hfd.hr