Boundary conditions for three-body scattering in configuration space

Payne, G. L.; Gloeckle, W.; Friar, J. L.

doi:10.1103/physrevc.61.024005

Cited by 13 publications

(16 citation statements)

References 8 publications

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“…In Ref. [31] it has been demonstrated that for the correct calculation of the breakup amplitudes in the area of small relative N N momenta one has to employ the explicit integral form for the breakup amplitude T (p, q). In our approach the minor disagreement of the WP breakup amplitudes and the exact benchmark results at very low relative momenta can be related to some uncertainties in the determination of the widths and the corresponding values of momenta for the WP scattering states of the pair continuum very close to the threshold.…”

Section: Similar Difficulties At θ ∼ 90mentioning

confidence: 99%

Three-body breakup within the fully discretized Faddeev equations

et al. 2012

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A novel approach is developed to find the three-body breakup amplitudes and cross sections within the modified Faddeev equation framework. The method is based on the lattice-like discretization of the three-body continuum with a three-body stationary wave-packet basis in momentum space. The approach makes it possible to simplify drastically all the three-and few-body breakup calculations due to discrete wave-packet representations for the few-body continuum and simultaneous lattice representation for all the scattering operators entering the integral equation kernels. As a result, the few-body breakup can be treated as a particular case of multi-channel scattering in which part of the channels represents the true few-body continuum states. As an illustration for the novel approach, an accurate calculations for the three-body breakup process n+d → n+n+p with non-local and local N N interactions are calculated. The results obtained reproduce nicely the benchmark calculation results using the traditional Faddeev scheme which requires much more tedious and time-consuming calculations.

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Section: Similar Difficulties At θ ∼ 90mentioning

confidence: 99%

Three-body breakup within the fully discretized Faddeev equations

et al. 2012

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“…We focus on the problem of choice of model space for numerical solution of the inelastic scattering problem. In particular, the appropriate choice of cutoff radius R cutof f in asymptotic conditions is important for the scattering observable calculations [7,8]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

“…In Ref. [7], the such analyses for the Faddeev equation in configuration space has been fulfilled for model three-body system. In Ref.…”

Section: Introductionmentioning

confidence: 99%

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Neutron-deuteron inelastic scattering: numerical modelling and asymptotic conditions

Suslov¹,

Braun²,

Filikhin³

et al. 2013

Math. Model. Geom.

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Inelastic neutron-deuteron scattering is studied on the basis of configuration-space Faddeev equations. Calculated are neutron-deuteron breakup amplitudes using AV14 nucleon-nucleon potential at incident neutron energy of 14.1 MeV. The results are presented for the differential cross sections under quasi free scattering (QFS) and space-star (SST) configurations, and compared with those of the previous calculations and experimental data. The choice of the cutoff radius R cutof f for asymptotic conditions is discussed.

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“…In the momentum space approach, for example, the effects appear as logarithmic singularities and discontinuities by a step function in the integral kernels of the equations so that we need to perform the integration very carefully [8]. In the differential equation approach, due to the breakup effects one needs to set boundary conditions at very long distance, the order of tens or hundreds times larger than the range of interaction potentials [9,10,11,12]. Since we treat the wave functions as solutions of the Faddeev integral equations, the long-range behavior should appear in the integral kernel.…”

Section: Introductionmentioning

confidence: 99%

Operation of the Faddeev Kernel in Configuration Space

Ishikawa

2007

Few-Body Systems

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Abstract. We present a practical method to solve Faddeev three-body equations at energies above three-body breakup threshold as integral equations in coordinate space. This is an extension of previously used method for bound states and scattering states below three-body breakup threshold energy. We show that breakup components in three-body reactions produce long-range effects on Faddeev integral kernels in coordinate space, and propose numerical procedures to treat these effects. Using these techniques, we solve Faddeev equations for neutron-deuteron scattering to compare with benchmark solutions.

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Boundary conditions for three-body scattering in configuration space

Cited by 13 publications

References 8 publications

Three-body breakup within the fully discretized Faddeev equations

Three-body breakup within the fully discretized Faddeev equations

Neutron-deuteron inelastic scattering: numerical modelling and asymptotic conditions

Operation of the Faddeev Kernel in Configuration Space

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