Three-body model for 6Li induced reactions

Osman, A.

doi:10.1016/0370-2693(71)90658-7

Cited by 12 publications

(2 citation statements)

References 8 publications

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“…1. For the purpose of comparison, we also carried out threebody calculations for the same reaction using a previous model [7,81. The agreement between the present calculations including the Coulomb forces and between the experimental data is good as seen from Figure (1).…”

Section: Thc Experimental Data Are Taken From Reference [C]mentioning

confidence: 99%

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Coulomb Forces in Three Charged Particles Interacting via Stripping Nuclear Reactions

Osman

1988

Annalen der Physik

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Abstrttct. Coulomb forces are examined for three charged interacting particles following the Faddeev formalism. Application of stripping nuclear reactions is studied for 6Li projectile incident on lZC target with alpha particle transfer. Differential corss-sections are calculated. The results are found to be improved by about 12.41yo due to thc inclusion of the Coulomb forces. A Coulomb force is one of the most interesting questions in three-body problems, since it is of quite different nature than that of separable potentials. Different approaches [I --31 have been suggested, in which it is necessary to know the two-body 7' matrix off-the-energy-shell. One of the approaches [I] is that by approximating the Coulomb Green's function in momentum space, while the other approach is an improved version of that approximation using the Yamaguchi potential. I n the present work, Coulomb forces are studied in the three-body problem u ith dii ect application to nuclear reactions. The system considered is a three charged intcracting pa,rticles system, the 6Li-incluced stripping reaction on lZC target with alpha particle transfer. The projectile is a cluster composition of a deuteron and an alpha particle. The nuclear two-body interactions for the different two-particle systems, (tleuteron-alpha, deuteron-% and alplia-12C), are taken as nonlocal separable potentials [4, 51. The Coulomb forces are considered to act for distances much larger than the ranges of the other interactions. Thus the Coulomb Creen's functions are defined by approximating the Coulomb wave functions in momentum space. 1Clodified E'atltleev equations are obtained in a set of coupled integral equations. They are managable a n d suitable for computation. Coulomb-IKriiftc an drei geladenen Teilchen einer StrippingreaktionThe non-local separable two-body nuclcar interaction bet\\ eeii the particl~s j and k is denoted by V,, where i, j and k refer to the three particles in cyclic permutation.The nuclear potentials are taken in momentum space to have Yamaguch I type as nonlocal potentials of the form

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Section: Thc Experimental Data Are Taken From Reference [C]mentioning

confidence: 99%

“…The different parameters Ai and of the two-particle interactions The dashed curve is calculated according to our previous model introduced in references [7] and [8].…”

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confidence: 99%

Coulomb Forces in Three Charged Particles Interacting via Stripping Nuclear Reactions

Osman

1988

Annalen der Physik

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Rearrangement Collisions between Four Identical Particles as a Four‐Body Problem

Osman

1988

Annalen der Physik

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A b s t r a c t . Nuclear reactions between composite particles with rearrangement processes are considered The cluster model is used in describing the structure of the nuclei. With this structure we have in the initial channel as well as in the final channel, four interacting particles. These reactions are studied as a four-body problem. The scattering amplitudes are approximated by using a separable expansion for the separable potential model. The four-body equations are reduced to integral equations in the form of exact effective two-particle Lippmann-Schwinger equations. These equations are solved by standard methods in a form suitable for numerical calculations. The present four-body treatment is applied calculating the differential cross-sections for different scattering and transfer nuclear remtions. Distorted wave Born approximation calculations are used in calculating the angular distributions. The present theoretical calculations are in good agreement with the experimental angular disrtributions. Stii8e zwischen vier identischen Tcilchen a16 VierkorperproblemI n h a l t s u b e r s i c h t . Es werden Kernprozesse zwischen zusammengesetzten Teilchcn mit Unordnung aYs Vierkorperproblem betrachtet . I m Rahmen einer Entwicklung des separierbaren Potentielmodells werden die Streuamplituden genahert bestimmt. Die Vierkorpergleichungen werden auf Integralgleichungen der Form exakter, effektiver Zweiteilchen-Lippmann-Schwinger-Gleichungen reduziert. Diese werden mit Standardmethoden numerisch gelost. Berechnet werden die differentiellen Wirkuingsquerschnitte fur verschiedene Streu-und Kernumwandlungsreaktionen. Die raumliche Verteilung wird in Bornscher gestorter Wellennaherung bestimmt. Es ergeben sich gute ubereinstimmungen mit dem Experiment.

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Three-body model for stripping nuclear reactions

Osman

1984

Int J Theor Phys

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Three-body model for 6Li induced reactions

Cited by 12 publications

References 8 publications

Coulomb Forces in Three Charged Particles Interacting via Stripping Nuclear Reactions

Coulomb Forces in Three Charged Particles Interacting via Stripping Nuclear Reactions

Rearrangement Collisions between Four Identical Particles as a Four‐Body Problem

Three-body model for stripping nuclear reactions

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