Four-body adiabatic model applied to elastic scattering

Christley, J.A.; Al-Khalili, Jim; Tostevin, J. A.; Johnson, Ronald C.

doi:10.1016/s0375-9474(97)81839-8

Cited by 33 publications

(30 citation statements)

References 16 publications

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“…In contrast, the FRDWBA model can, in principle, be applied to the cases where both of the fragments b and c are charged [28]. Furthermore, calculation of the nuclear breakup in the adiabatic model is not as comparatively trivial [31][32][33], as it is in the case of FRDWBA. The triple differential cross section of the reaction is given by…”

Section: Formalismmentioning

confidence: 99%

Core excitation in Coulomb breakup reactions

Shyam

Danielewicz

2001

Phys. Rev. C

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Within the pure Coulomb breakup mechanism, we investigate the oneneutron removal reaction of the type A(a,bγ)X with 11 Be and 19 C projectiles on a heavy target nucleus 208 Pb at the beam energy of 60 MeV/nucleon. Our intention is to examine the prospective of using these reactions to study the structure of neutron rich nuclei. Integrated partial cross sections and momentum distributions for the ground as well as excited bound states of core nuclei are calculated within the finite range distorted wave Born approximation as well as within the adiabatic model of the Coulomb breakup. Our results are compared with those obtained in the studies of the reactions on a light target where the breakup proceeds via the pure nuclear mechanism. We find that the transitions to excited states of the core are quite weak in the Coulomb dominated process as compared to the pure nuclear breakup.PACS numbers: 24.10.Eq., 25.60.-t, 25.60.Gc, 24.50.+g KEYWORD: One-neutron removal reactions, structure of core excited states, finite range DWBA theory of Coulomb breakup.

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Section: Formalismmentioning

confidence: 99%

Core excitation in Coulomb breakup reactions

Shyam

Danielewicz

2001

Phys. Rev. C

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“…In final quantitative studies, it may be important to include also the interaction of the valence particle. This is not a difficulty since exact adiabatic calculations, without the additional assumption (i), are possible for both two-and three-body projectile systems [12,14]. In Fig.…”

Section: -9007͞97͞79(15)͞2771(4)$1000mentioning

confidence: 99%

Elastic Scattering of Halo Nuclei

1997

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We show that under certain conditions a simple relationship exists between the elastic scattering of a composite halo nucleus and of its core from a stable target. The coupling of the elastic and projectile excitation channels is crucial to the analysis, which is particularly useful when the ratio of the halo to the core mass is small. In the case of 11 Be elastic scattering the cross section relationship is quite well satisfied. For both 11 Be and 19 C our analysis reveals a significant sensitivity of elastic scattering data to the halo size and structure. [S0031-9007(97)03995-1] PACS numbers: 25.60. Bx, 25.70.Bc The existence of a class of light nuclei with a localized central core surrounded by a dilute "halo" of neutron matter is now well established. Evidence for these novel structures has been gained mainly from measurements of total neutron removal [1] and breakup reaction cross sections [2][3][4], particularly at high energy. We investigate to what extent complementary information can be gained from high quality elastic scattering measurements at lower energies.In this Letter we show that, in certain circumstances, the elastic scattering of a halo nucleus from a stable target can give simple direct evidence for the structure of the halo. The theory makes explicit use of the characteristics of halo nuclei, namely their very small neutron separation energy and the large spatial extension of the halo, which in turn result in strong coupling between the halo ground state and low energy excitations. This coupling of the elastic and projectile excitation channels plays a crucial role in the analysis, the results of which cannot be readily understood in terms of optical or folding model approaches. In elastic scattering, the analysis is expected to be particularly useful in systems where the ratio of the halo particle mass to the core mass is small.We consider the scattering of an assumed two-body projectile nucleus, composed of a core of mass m c and a valence particle of mass m y , by a third (target) nucleus of mass m T . It is assumed that these three bodies are spinless and structureless, although these are not essential assumptions. Two key conditions must be met, however, for the subsequent development to be a useful one:(i) The interaction between the core and target (V cT ) should be effectively much stronger than that between the valence and target particles (V yT ).(ii) The relative motion of the core and valence particles is slow compared to the relative motion of the center of mass of the projectile and target, and so can be treated adiabatically, in the spirit to the work of Johnson and Soper [5].Requirement (i) places limitations on the likely regions of applicability of our model. In strong interactiondominated processes, it is likely to be most valid when the number of nucleons in the core far exceeds that of the valence body. For 11 Be elastic scattering, where this ratio is 10:1, the assumption will be seen to be a good starting point for small scattering angles. Requirement (i) could also...

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“…The theoretical understanding of reactions involving a three-body projectile, such as 6 He, is a complicated task because it requires the solution of a four-body scattering problem. At high energies, a variety of approximations have been used such as semiclassical approximations [34][35][36], frozen halo or adiabatic approximations [37,38], multiple scattering expansions [39][40][41], fourbody DWBA [42,43], among others. However, at energies of a few MeV per nucleon, some of these approximations are not justified.…”

Section: Introductionmentioning

confidence: 99%