scholarly journals Three-Body Scattering Below Breakup Threshold: An Approach Without Using Partial Waves

2000 ◽  
Vol 28 (1) ◽  
pp. 15-34 ◽  
Author(s):  
W. Schadow ◽  
Ch. Elster ◽  
W. Glöckle
Keyword(s):  
Breakup Threshold ◽  
Partial Waves ◽  
Three Body

Comparison of Faddeev Method and Resonating Group Method above Breakup Threshold

1975 ◽  
Vol 30 (3) ◽  
pp. 271-273 ◽  
Author(s):  
F. Söhre ◽  
E. W. Schmid
Keyword(s):  
Phase Shift ◽  
Least Squares ◽  
Least Squares Method ◽  
Group Method ◽  
Breakup Threshold ◽  
The Real ◽  
Yamaguchi Potential ◽  
Three Body

Abstract The reliability of the resonating group method is studied above the three-body breakup threshold. In particular, the real part of the elastic n-d phase shift is calculated in a model of three spinless bosons interacting by a separable Yamaguchi potential for which exact Faddeev results are available. Spurious singularities which are caused by the distortion part of the resonating group ansatz are eliminated by a least squares method.

Method of Complex Coordinates for Three-Body Calculations above the Breakup Threshold

1969 ◽  
Vol 188 (4) ◽  
pp. 1542-1544 ◽  
Author(s):  
J. NUTTALL ◽  
H. L. COHEN
Keyword(s):  
Breakup Threshold ◽  
Three Body

Inelastic probabilities above the three-body breakup threshold via a projection operator formalism

1991 ◽  
Vol 181 (2-3) ◽  
pp. 151-156 ◽  
Author(s):  
Daniel Neuhauser ◽  
Richard Judson ◽  
Avigdor Perski
Keyword(s):  
Projection Operator ◽  
Breakup Threshold ◽  
Operator Formalism ◽  
Three Body

FOUR-NUCLEON BOUND STATE AND SCATTERING: EFFECT OF MANY-NUCLEON FORCES

2009 ◽  
Vol 24 (11n13) ◽  
pp. 785-790 ◽  
Author(s):  
A. DELTUVA ◽  
A. C. FONSECA ◽  
P. U. SAUER
Keyword(s):  
Bound State ◽  
Breakup Threshold ◽  
Nucleon Force ◽  
Nucleon System ◽  
Scattering Effect ◽  
Single Nucleon ◽  
Channel Potential ◽  
Three Body ◽  
Coupled Channel

The four-nucleon bound state and scattering below three-body breakup threshold are described. The description is based on a realistic coupled-channel potential which allows the excitation of a single nucleon to a Δ isobar. In the four-nucleon system the Δ isobar mediates effective two-, three- and four-nucleon forces. The effect of the four-nucleon force is found to be much smaller than the effect of the three-nucleon force.

scholarly journals Application of hyperspherical harmonics expansion method to the low-lying bound S-states of exotic two-muon three-body systems

2014 ◽  
Vol 23 (10) ◽  
pp. 1450055 ◽  
Author(s):  
Md. Abdul Khan
Keyword(s):  
Nuclear Charge ◽  
Expansion Method ◽  
Bound State ◽  
Hyperspherical Harmonics ◽  
Nuclear Core ◽  
Partial Waves ◽  
Extrapolation Scheme ◽  
Three Body ◽  
S States ◽  
Hyperspherical Harmonics Expansion

In this paper, energies of the low-lying bound S-states (L = 0) of exotic three-body systems, consisting a nuclear core of charge +Ze (Z being atomic number of the core) and two negatively charged valence muons, have been calculated by hyperspherical harmonics expansion method (HHEM). The three-body Schrödinger equation is solved assuming purely Coulomb interaction among the binary pairs of the three-body systems X Z+μ-μ- for Z = 1 to 54. Convergence pattern of the energies have been checked with respect to the increasing number of partial waves Λmax. For available computer facilities, calculations are feasible up to Λmax = 28 partial waves, however, calculation for still higher partial waves have been achieved through an appropriate extrapolation scheme. The dependence of bound state energies has been checked against increasing nuclear charge Z and finally, the calculated energies have been compared with the ones of the literature.

CALCULATION OF PROTON-DEUTERON SCATTERING WITH COULOMB FORCE EFFECTS

2009 ◽  
Vol 24 (11n13) ◽  
pp. 855-858 ◽  
Author(s):  
SOUICHI ISHIKAWA
Keyword(s):  
Experimental Data ◽  
Long Range ◽  
Coulomb Interaction ◽  
Cross Sections ◽  
Scattering Problem ◽  
Coulomb Force ◽  
Numerical Results ◽  
Breakup Threshold ◽  
Deuteron Scattering ◽  
Three Body

A modified version of the Faddeev three-body equation to accommodate the long-range Coulomb interaction is applied to the proton-deuteron scattering problem at energies above the three-body breakup threshold. Numerical results for elastic and breakup cross sections in proton-deuteron scattering with effects of three-nucleon forces are compared with experimental data.

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