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Configuration space Faddeev born approximations

James Lewis Friar
(
- Los Alamos
)
,
G.L. Payne
(
- Iowa U.
)

May, 2003

10 pages

Published in:

Few Body Syst. 33 (2003) 233-240

e-Print:

nucl-th/0305031 [nucl-th]

DOI:

10.1007/s00601-003-0016-0

Report number:

LA-UR-03-3119

View in:

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Abstract: (arXiv)

Alternative definitions of the Born approximation and the distorted-wave Born approximation within the framework of the configuration-space Faddeev equations are explored. The most natural definition does not correspond to the Born approximation derived from the Schroedinger equation, even though the exact T-matrices for both formalisms are equivalent. The Schroedinger form is optimal, although it is shown that the differences are numerically unimportant. The DWBA corresponding to the Faddeev equations is not channel symmetric, although numerically this is unimportant for the p-d (Coulomb) case. Convergence of the Born approximation partial-wave series is briefly investigated for p-d and n-d scattering below breakup threshold.

Note:

10 pages, latex - submitted to Few-Body Systems

References(9)

Figures(0)

Realistic phase shift and mixing parameters for elastic neutron-deuteron scattering: Comparison of momentum space and configuration space methods

et al.

- Phys.Rev.C 51 (1995) 1100-1107
•
DOI:
- 10.1103/PhysRevC.51.1100

Benchmark calculations for polarization observables in three nucleon scattering

et al.

- Phys.Rev.C 58 (1998) 3085-3092
•
e-Print:
- nucl-th/9807061
•
DOI:
- 10.1103/PhysRevC.58.3085

Phase shifts and mixing parameters for elastic proton deuteron scattering

- Phys.Rev.C 63 (2001) 064004
•
e-Print:
- nucl-th/0012034
•
DOI:
- 10.1103/PhysRevC.63.064004

Critical comparison of experimental data and theoretical predictions for nucleon deuteron scattering below the breakup threshold

A. Kievsky
(
- INFN, Pisa
)
,
S. Rosati
(
- INFN, Pisa and
- Pisa U.
)
,
W. Tornow
(
- Duke U.
)
,
M. Viviani
(
- INFN, Pisa
)

- Nucl.Phys.A 607 (1996) 402-424
•
DOI:
- 10.1016/0375-9474(96)00240-0

The Three nucleon system near the N - d threshold

A. Kievsky
(
- INFN, Pisa
)
,
S. Rosati
(
- INFN, Pisa and
- Pisa U.
)
,
M. Viviani
(
- INFN, Pisa
)
,
C.R. Brune
(
- North Carolina U. and
- TUNL, Durham
)
,
H.J. Karwowski
(
- North Carolina U. and
- TUNL, Durham
)

et al.

- Phys.Lett.B 406 (1997) 292-296
•
e-Print:
- nucl-th/9706077
•
DOI:
- 10.1016/S0370-2693(97)00691-6

Low-energy proton deuteron scattering in configuration space

- Few Body Syst. 31 (2001) 13
•
e-Print:
- nucl-th/0104063
•
DOI:
- 10.1007/s006010170002

Treatment of charged three-body problems

T. Sasakawa
(
- Tohoku U.
)
,
T. Sawada
(
- Osaka U., Appl. Math. Dept.
)

- Phys.Rev.C 20 (1979) 1954-1956
•
DOI:
- 10.1103/PhysRevC.20.1954

Trinucleon asymptotic normalization constants: Comparison of He-3 and H-3

James Lewis Friar
(
- Los Alamos
)
,
Benjamin F. Gibson
(
- Los Alamos
)
,
D.R. Lehman
(
- George Washington U.
)
,
G.L. Payne
(
- Iowa U.
)

- Phys.Rev.C 37 (1988) 2859-2868
•
DOI:
- 10.1103/PhysRevC.37.2859

An Accurate nucleon-nucleon potential with charge independence breaking

Robert B. Wiringa
(
- Argonne, PHY
)
,
V.G.J. Stoks
(
- Flinders U.
)
,
R. Schiavilla
(
- Jefferson Lab and
- Old Dominion U.
)

- Phys.Rev.C 51 (1995) 38-51
•
e-Print:
- nucl-th/9408016
•
DOI:
- 10.1103/PhysRevC.51.38