Alpha–alpha potential up to 47.3 MeV bombarding energy

Abdullah, M. N. A.; Sabra, Mohammad S.; Rashid, Md. Mamunur; Shehadeh, Zuhair F.; Billah, M. Masum; Das, Susanta Kumar; Uddin, M. Alfaz; Basak, A. K.; Reichstein, I.; Gupta, H. M. Sen; Malik, F.B.

doi:10.1016/j.nuclphysa.2006.06.007

Cited by 23 publications

(13 citation statements)

References 71 publications

(105 reference statements)

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“…Numerical calculation of this effect using the exact solution of the Schr dingier equation with the Akyüz-Winther nuclear interaction [17] performed in [16] for the system α + α has shown such a behavior, with the lowest critical energy at E 0 = 0.4 MeV, and the highest one at center of mass energy E 0 = 1.10 MeV. This seems to be in qualitative agreement with the data of [15]. In fact the latter data exhibits TI at three critical energies.…”

Section: Transverse Isotropy In Nuclear Physicssupporting

confidence: 73%

“…Preliminary work on this has been done in [14] where this feature of the cross section was called "Transverse Isotropy" (TI). A recent experiment [15] on α + α Mott scattering seem to show this TI. In [16] further work on the TI was performed and compared to the data.…”

Section: Introductionmentioning

confidence: 78%

“…We have derived an approximate formula which exhibits the influence of the nuclear interaction on the critical value of critical value of the Sommerfeld parameter, η c , at which the TI sets in. Exact numerical evaluation of the TI using the the Akyüz-Winther interaction are presented for the α + α system and compared to the data of [15] as done in [16]. The system 6 Li + 6 Li is also briefly discussed.…”

Section: Discussionmentioning

confidence: 99%

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Disappearance of Mott Oscillations in Sub-barrier Elastic Scattering of Identical Nuclei and Atomic Ions

et al. 2016

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The scattering of identical nuclei at low energies exhibits conspicuous Mott oscillations which can be used to investigate the presence of components in the predominantly Coulomb interaction arising from several physical effects. It is found that at a certain critical value of the Sommerfeld parameter the Mott oscillations disappear and the cross section becomes quite flat. We call this effect Transverse Isotropy (TI). The critical value of the Sommerfeld parameter at which TI sets in is found to be η c = √ 3s + 2, where s is the spin of the nuclei participating in the scattering. No TI is found in the Mott scattering of identical Fermionic nuclei. The critical center of mass energy corresponding to η c is found to be E c = 0.40 MeV for α + α (s = 0) , 1.2 MeV for 6 Li + 6 LI (s = 1) and 7.1 MeV for 10 B + 10 B (s = 3). We further found that the inclusion of the nuclear interaction induces a significant modification in the TI. We suggest measurements at these sub-barrier energies for the purpose of extracting useful information about the nuclear interaction between light heavy ions. We also suggest extending the study of the TI to the scattering of identical atomic ions.

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Section: Transverse Isotropy In Nuclear Physicssupporting

confidence: 73%

Section: Introductionmentioning

confidence: 78%

Section: Discussionmentioning

confidence: 99%

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Disappearance of Mott Oscillations in Sub-barrier Elastic Scattering of Identical Nuclei and Atomic Ions

et al. 2016

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“…Both the low-lying resonances of 8 Be and the phase shifts of the α + α elastic scattering have been measured [36][37][38][39][40][41][42][43], making it an ideal playground to develop and validate our method.…”

Section: Introductionmentioning

confidence: 99%

Resonant and scattering states in the α+α system from the nonlocalized cluster model

Bai

Ren

2020

Phys. Rev. C

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The non-localized cluster model provides a new perspective on nuclear cluster effects and has been applied successfully to study cluster structures in various bound states and quasi-bound states (i.e., long-lived resonant states). In this work, we extend the application scope of the non-localized cluster model further to resonant and scattering states. Following the R-matrix theory, the configuration space is divided into the interior and exterior regions by a large channel radius such that the nuclear forces and the antisymmetrization effects become negligible between clusters in the exterior region. In the interior region, the picture of non-localized clustering is realized mathematically by adopting the Brink-Tohsaki-Horiuchi-Schuck-Röpke (Brink-THSR) wave functions as the bases to construct the interior wave functions. The Bloch-Schrödinger equation is used to match the interior wave functions continuously with the asymptotic boundary conditions of the resonant and scattering states at the channel radius, which leads eventually to solutions of the problem. As a first test of the formalism, the low-lying resonant states of 8 Be and the phase shifts of the α + α elastic scattering are studied. The numerical results agree well with the experimental data, which shows the validity of the theoretical framework. *

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“…For balance, note that the analysis of alpha-alpha elastic scattering in Ref. [3] appears to be exceptional. In this case the EDF model is applied in a case in which, at the lowest energies, the absence of absorption increases the sensitivity to the non-monotonic character of the model.…”

Section: An Example From Alpha Particle Scatteringmentioning

confidence: 99%

Elastic scattering phenomenology

Mackintosh¹

2017

Eur. Phys. J. A

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Abstract.We argue that, in many situations, fits to elastic scattering data that were historically, and frequently still are, considered "good", are not justifiably so describable. Information about the dynamics of nucleon-nucleus and nucleus-nucleus scattering is lost when elastic scattering phenomenology is insufficiently ambitious. It is argued that in many situations, an alternative approach is appropriate for the phenomenology of nuclear elastic scattering of nucleons and other light nuclei. The approach affords an appropriate means of evaluating folding models, one that fully exploits available empirical data. It is particularly applicable for nucleons and other light ions.

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Alpha–alpha potential up to 47.3 MeV bombarding energy

Cited by 23 publications

References 71 publications

Disappearance of Mott Oscillations in Sub-barrier Elastic Scattering of Identical Nuclei and Atomic Ions

Disappearance of Mott Oscillations in Sub-barrier Elastic Scattering of Identical Nuclei and Atomic Ions

Resonant and scattering states in the α+α system from the nonlocalized cluster model

Elastic scattering phenomenology

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