Analyzing power measurements for the d→+d→d+p+n breakup reaction at 12 MeV

Felsher, P. D.; Howell, C. R.; Tornow, W.; Roberts, M. L.; Hanly, J. M.; Weisel, G. J.; Ohali, M Al; Walter, R. L.; Šlaus, I.; Lambert, J.M.; Treado, P.A.; Mertens, G.; Fonseca, A. C.; Soldi, A.; Vlahović, Branislav

doi:10.1103/physrevc.56.38

Phys. Rev. C

1997

DOI: 10.1103/physrevc.56.38

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Analyzing power measurements for the d→+d→d+p+n breakup reaction at 12 MeV

P. D. Felsher

C. R. Howell

W. Tornow

et al.

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Cited by 2 publications

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“…If one stays below the three-body break-up threshold the FY equations can be solved with PVR, since only two-body singularities occur [10,11,12,13,14,15,16]. Above the three-body threshold but still below the fourbody threshold the FY equations have also been solved applying the CD techniques [13,14,15,16,17,18]. There in the E and F 's terms occur two-body propagators whose nature is similar to the three body Green's func-…”

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confidence: 99%

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Complex energy method in four-body Faddeev-Yakubovsky equations

2003

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The Complex Energy Method [Prog. Theor. Phys. 109, 869L (2003)] is applied to the four body Faddeev-Yakubovsky equations in the four nucleon system. We obtain a well converged solution in all energy regions below and above the four nucleon break-up threshold.PACS numbers: 25.10.+s, 11.80.Jy, 02.40.Xx Calculations for scattering systems in configuration space require boundary conditions which increase in complexity with growing particle numbers. These boundary conditions appear in the form of Green's functions in momentum space which carry singularities of increasing complexity. The Green's functions are expressed as G 0 = 1/(E + iε − H 0 ) where E and H 0 are the total and kinetic energy, respectively, and the limit ε → 0 has to be taken. In the two-body system there is one (relative) momentum variable p and G 0 has a pole in the complex p-plane. It is easy to handle it using the principal value prescription and (half) the residue theorem (PVR). In the three body case there arises already a difficulty in the form of so called moving singularities [1,2], however, PVR is still applicable [3], or one can use the contour deformation [4,5,6,7] (CD) technique. Summarizing these techniques, first one takes the limiting value ε → 0 and next the equation is solved avoiding the integration path on the complex plane. This is illustrated in Fig. 1.The situation is more complicated in the four body system. Employing a separable potential and a separable expansion technique for the three body, and [2+2] subamplitudes, the four body Faddeev-Yakubovsky (FY) equations [8] for four identical particles can be expressed as * Electronic address: j-uzu@ed.noda.tus.ac.jp

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“…Above the three-body threshold but still below the fourbody threshold the FY equations have also been solved applying the CD techniques [13,14,15,16,17,18]. There in the E and F 's terms occur two-body propagators whose nature is similar to the three body Green's func-…”

mentioning

confidence: 99%

Complex energy method in four-body Faddeev-Yakubovsky equations

2003

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Variational Bounds in N-Particle Scattering Using the Faddeev–Yakubovskii Equations: Deuteron-Deuteron S=2 Scattering

Carew

2014

Few-Body Syst

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Analyzing power measurements for the d→+d→d+p+n breakup reaction at 12 MeV

Cited by 2 publications

References 23 publications

Complex energy method in four-body Faddeev-Yakubovsky equations

Complex energy method in four-body Faddeev-Yakubovsky equations

Variational Bounds in N-Particle Scattering Using the Faddeev–Yakubovskii Equations: Deuteron-Deuteron S=2 Scattering

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