An alpha-particle optical potential from the nuclear density distribution

Bernstein, A. M.; Seidler, W.

doi:10.1016/0370-2693(71)90138-9

Cited by 43 publications

(12 citation statements)

References 13 publications

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“…The energy dependent "renormalization" parameter 2 g was phenomenologically determined to be 2 R = 0.996 by studies of elastic e-particle scattering from light nuclei, particularly from 4~ [4,10]. Exchange effects play a minor role Alternatively, we used the procedure proposed by Bernstein [8] assuming the imaginary part of the optical potential to be proportional to the real one with a free normalization factor 2i:…”

Section: Methodsmentioning

confidence: 99%

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Nuclear matter sizes and isoscalar octupole transition rates of204,206,208Pb from 104 MeV ?-particle scattering

et al. 1976

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Differential cross sections for elastic and inelastic scattering of 104 MeV e-particles from 204,206,208pb were measured with high angular accuracy. The experimental results were analysed on the basis of a semimicroscopic folding model in order to determine the matter distributions at the nuclear surface and the transition densities. Using phenomenological parametrizations of the densities the analyses of elastic scattering yield rms radii of (r2)

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Section: Methodsmentioning

confidence: 99%

“…We used the Gaussian form of the interaction potential proposed by Bernstein [7,8] Veff (r, r~)=2 R 9 V o 9 exp(-Ir~-rl2//~o 2) (3.4)…”

Section: Methodsmentioning

confidence: 99%

Nuclear matter sizes and isoscalar octupole transition rates of204,206,208Pb from 104 MeV ?-particle scattering

et al. 1976

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“…By fitting elastic a particle scattering to 4~ ,~R=0.815 was obtained at E, = 104 MeV [3]. This value proves to be a best value* throughout for the 104 MeV elastic a particle scattering [3,6]. Fortunately the scattering is rather insensitive to the detailed shape of the theoretically undefined imaginary potential [3].…”

mentioning

confidence: 95%

“…The factor 2R may by determined empirically thus absorbing some uncertainties in the choice of Ve~. By fitting elastic a particle scattering to 4~ ,~R=0.815 was obtained at E, = 104 MeV [3]. This value proves to be a best value* throughout for the 104 MeV elastic a particle scattering [3,6].…”

mentioning

confidence: 96%

“…Rms-radii and values of the deformation parameters for the nuclear density distributions are extracted, and the effect of the size of the c~ particle is demonstrated. Previous discrepancies between (p, p') and (~, 0d) results are partly removed.It has been found that the real part U R (G) of the optical potential for the elastic a-nucleus scattering can be related to the nuclear density distribution p (r) by the equation [1,2,3] U,(r~) = S p(r) Vefr (r-G) d3 r.(1) An effective a-particle-bound nucleon interaction of a simple gaussian formis found to be quite satisfactory and was derived (as approximate result) [4,5] by folding the ~ particle form factor with a nucleon-nucleon interaction which fits the low energy data. According to Bernstein [3] the value of Vo = -37 MeV and the range p = 2.0 fm.…”

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confidence: 99%

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Size and shape of the nuclear density distributions of20Ne and28Si from 104 MeV alpha particle scattering

Rebel

Schweimer

1973

Z. Physik

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Measured differential cross sections for the scattering of 104 MeV ~ particles from 2~ and 28Si are analyzed on the basis of a deformed folding model. Rms-radii and values of the deformation parameters for the nuclear density distributions are extracted, and the effect of the size of the c~ particle is demonstrated. Previous discrepancies between (p, p') and (~, 0d) results are partly removed.It has been found that the real part U R (G) of the optical potential for the elastic a-nucleus scattering can be related to the nuclear density distribution p (r) by the equation [1,2,3] U,(r~) = S p(r) Vefr (r-G) d3 r.(1) An effective a-particle-bound nucleon interaction of a simple gaussian formis found to be quite satisfactory and was derived (as approximate result) [4,5] by folding the ~ particle form factor with a nucleon-nucleon interaction which fits the low energy data. According to Bernstein [3] the value of Vo = -37 MeV and the range p = 2.0 fm. The energy dependent constant 2R(E,) takes into account of deviations of the strength from the derived zero-energy a-nucleon scattering value Vo. The factor 2R may by determined empirically thus absorbing some uncertainties in the choice of Ve~. By fitting elastic a particle scattering to 4~ ,~R=0.815 was obtained at E, = 104 MeV [3]. This value proves to be a best value* throughout for the 104 MeV elastic a particle scattering [3,6]. Fortunately the scattering is rather insensitive to the detailed shape of the theoretically undefined imaginary potential [3]. Thus the imaginary potential Ux may be chosen proportional to the real part by introducing a further empirical * As pointed out in Ref.[5] Bernstein's value of V o is not correct. However, this is absorbed by the phenomenological value of JR"

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