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Neutron-deuteron scattering calculations with W-matrix representation of the two-body input

Journal Article · · Phys. Rev. C; (United States)
; ; ; ;
Employing the W-matrix representation of the partial-wave T matrix introduced by Bartnik, Haberzettl, and Sandhas, we show for the example of the Malfliet-Tjon potentials I and III that the single-term separable part of the W-matrix representation, when used as input in three-nucleon neutron-deuteron scattering calculations, is fully capable of reproducing the exact results obtained by Kloet and Tjon. This approximate two-body input not only satisfies the two-body off-shell unitarity relation but, moreover, it also contains a parameter which may be used in optimizing the three-body data. We present numerical evidence that there exists a variational (minimum) principle for the determination of the three-body binding energy which allows one to choose this parameter also in the absence of an exact reference calculation. Our results for neutron-deuteron scattering show that it is precisely this choice of the parameter which provides optimal scattering data. We conclude that the W-matrix approach, despite its simplicity, is a remarkably efficient tool for high-quality three-nucleon calculations.
Research Organization:
Physikalisches Institut, Universitaet Bonn, D-5300 Bonn 1, Federal Republic of Germany
OSTI ID:
5921516
Journal Information:
Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 36:5; ISSN PRVCA
Country of Publication:
United States
Language:
English

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Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BARYON-BARYON INTERACTIONS
BINDING ENERGY
BOUND STATE
CHARGED PARTICLES
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
ENERGY
HADRON-HADRON INTERACTIONS
INTERACTIONS
MANY-BODY PROBLEM
MATRICES
NEUTRON-DEUTERON INTERACTIONS
NUCLEON-DEUTERON INTERACTIONS
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PHASE SHIFT
S MATRIX
S WAVES
SPIN
THREE-BODY PROBLEM
TRITONS
TWO-BODY PROBLEM
VARIATIONAL METHODS