62 research outputs found
Antisymmetry in Strangeness -1 and -2 Three-Baryon Systems
Using the generalized Pauli principle by adding particle labels to the usual
space and spin labels a symmetric Hamiltonian and a corresponding antisymmetric
wavefunction is constructed for systems of three baryons in the strangeness
sectors and -2. Applications are the and
systems.
Minimal sets of generalized coupled Faddeev equations for breakup and
rearrangement operators as well as (possible) bound states are derived which
have the ordinary Pauli principle among identical particles built in. The
equations found confirm our previous sets of coupled Faddeev equations for
those systems whose derivation was carried through for distinguishable
particles and not using the generalized Pauli principle.Comment: 28 pages and 2 figure
The nn quasi-free nd breakup cross section: discrepancies to theory and implications on the 1S0 nn force
Large discrepancies between quasi-free neutron-neutron (nn) cross section
data from neutron-deuteron (nd) breakup and theoretical predictions based on
standard nucleon-nucleon (NN) and three-nucleon (3N) forces are pointed out.
The nn 1S0 interaction is shown to be dominant in that configuration and has to
be increase to bring theory and data into agreement. Using the next-to-leading
order (NLO) 1S0 interaction of chiral perturbation theory (chiPT) we
demonstrate that the nn QFS cross section only slightly depends on changes of
the nn scattering length but is very sensitive to variations of the effective
range parameter. In order to account for the reported discrepancies one must
decrease the nn effective range parameter by about 12 % from its value implied
by 19charge symmetry and charge independence of nuclear forces.Comment: 19 pages, 11 figure
Three-Body Scattering Below Breakup Threshold: An Approach without using Partial Waves
The Faddeev equation for three-body scattering below the three-body breakup
threshold is directly solved without employing a partial wave decomposition. In
the simplest form it is a three-dimensional integral equation in four
variables. From its solution the scattering amplitude is obtained as function
of vector Jacobi momenta. Based on Malfliet-Tjon type potentials differential
and total cross sections are calculated. The numerical stability of the
algorithm is demonstrated and the properties of the scattering amplitude
discussed.Comment: 21 pages, 7 figures included, uses psfig, revised versio
Model Study of Three-Body Forces in the Three-Body Bound State
The Faddeev equations for the three-body bound state with two- and three-body
forces are solved directly as three-dimensional integral equation. The
numerical feasibility and stability of the algorithm, which does not employ
partial wave decomposition is demonstrated. The three-body binding energy and
the full wave function are calculated with Malfliet-Tjon-type two-body
potentials and scalar Fujita-Miyazawa type three-body forces. The influence of
the strength and range of the three-body force on the wave function, single
particle momentum distributions and the two-body correlation functions are
studied in detail. The extreme case of pure three-body forces is investigated
as well.Comment: 25 pages, 15 postscript figure
Three-Body Scattering without Partial Waves
The Faddeev equation for three-body scattering at arbitrary energies is
formulated in momentum space and directly solved in terms of momentum vectors
without employing a partial wave decomposition. In its simplest form the
Faddeev equation for identical bosons is a three-dimensional integral equation
in five variables, magnitudes of relative momenta and angles. The elastic
differential cross section, semi-exclusive d(N,N') cross sections and total
cross sections of both elastic and breakup processes in the intermediate energy
range up to about 1 GeV are calculated based on a Malfliet-Tjon type potential,
and the convergence of the multiple scattering series is investigated in every
case. In general a truncation in the first or second order in the two-body
t-matrix is quite insufficient.Comment: 3 pages, Oral Contribution to the 19th European Few-Body Conference,
Groningen Aug. 23-27, 200
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