Physical Significance of Optical-Model Parameters

Greenless, G.W.; Pyle, G.J.; Tang, Y.C.

doi:10.1103/physrevlett.17.33

Cited by 59 publications

(11 citation statements)

References 13 publications

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“…The spin-orbit coupling constant 2 fluctuates with respect to its value in case "a" but the diffuseness a and the radius constant r 0 increase always (up to 15 %). Such a simultaneous increase in r o and a has been found also in [13], in contrast to the earlier assertion [14] for inverse proportionality between these two quantities.…”

Section: Effective Mass Approximation and Parameters Determinationcontrasting

confidence: 73%

Nuclear radii from a nonlocal Woods-Saxon potential

Nojarov

1985

Z Physik A

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It is found that the nonlocality, introduced in the Woods-Saxon potential through an energy-independent effective mass approximation under the condition to keep unchanged the levels around the nuclear surface, gives rise, at m*g 0.9 m, to a 5 % increase in the RMS radii of nuclei from the mass zones A=155, 165, 173, 181, leading to a better agreement with the experiment. Thus, the nonlocality induces an increase in the mean-square radius leaving the mean kinetic energy almost unaffected.

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Section: Effective Mass Approximation and Parameters Determinationcontrasting

confidence: 73%

Nuclear radii from a nonlocal Woods-Saxon potential

Nojarov

1985

Z Physik A

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“…It is worth noting that the majority of the earlier analyses (e.g. in the 1960's) of transfer data in terms of DWBA were carried out before systematic analyses of scattering with polarized proton beams were available and thus before it was appreciated that the radius of the spin-orbit term should be considerably smaller than the radius of the real potential [20]. Using the larger radius for the spin-orbit term meant a substantially greater dependence of (2j + 1)C 2 S on j than the more recent values of r so that are 20-30% smaller than r 0 .…”

Section: Fig 7 (Color Online)mentioning

confidence: 99%

Valence nucleon populations in the Ni isotopes

et al. 2013

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“…Thus it is preferable to have a small ro from the point of view of nucleon transfer reactions. Diminution of spin orbit radius is also welcome from the optical model analysis [6].…”

Section: Pacs: 2110ftmentioning

confidence: 99%

The effect of average one body potential on the orbit radii measurements in the lead region

Bhattacharya

1987

Z. Physik A - Atomic Nuclei

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A barycentric potential of identical central and spin-orbit geometry has been used for finding out the orbit radii of valence proton states in 2~ and 2~ Excellent agreement has been found between the calculated values and measured values from sub-Coulomb nuclear transfer reaction studies. Proton densities at specific points also show the right trend. PACS: 21.10ftMagnetic electron scattering and sub-Coulomb nucleon transfer reaction data provide us information regarding the details of the nuclear surface. Critical assessment of the valence nucleon orbit radii measurements reveal that transfer reaction cross sections depend sensitively on the magnitude of the tail of the bound state wave function of the transferred nucleon. The rms radius can be calculated in a model dependent way after specifying the form of the bound state potential well. Again the magnitude of the single-particle wave function in the asymptotic region can be extracted from the knowledge of spectroscopic factor of the populated state and the normalisation factor of the particular reaction used. Therefore, it seems interesting to see the effect of a realistic average potential on the orbit radii of valence nucleons of a good closed shell nucleus. The states of 2~ populated via the (t, e) reaction have been found to be quite pure single particle shell model states. This view is confirmed by the absence of any transfer to these orbits in stripping reaction studies [1]. Similarly few low lying states of 2~ exhaust almost all the spectroscopic strength [2]. Therefore, 2~behaves like a good doubly shell closed nucleus. Recently [-3, 4] the proton orbit sizes of the 3sl/z, 2d3/2, lh11/2 and 2d5/2 states in 2~ and the lh9/2 state in 2~ through the sub-Coulomb (t,c~) reaction have been reported. In this work, we present the results of our calculation about the orbit sizes, obtained through numerical solution of the radial part of the Schr6-dinger equation having an optimized one body potential of Woods-Saxon form.The method of obtaining a good set of potential parameters which reproduces the single particle shell model states near the Fermi surface of 2~ has been reported earlier [-5]. However, for the sake of clarity we point out the main features here. The bary-centers of the different spin orbit doublets (SOD) for the proton states in z~ from the observed single particle spectra have been calculated. This necessitated a three parameter optimisation technique for fixing the geometrical shape of the central potential. We then introduced the spin orbit potential keeping the geometry identical to that of the central part. For the protons we have added the Coulomb term with r~oul = ro (central). One interesting feature of our potential is the

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Physical Significance of Optical-Model Parameters

Cited by 59 publications

References 13 publications

Nuclear radii from a nonlocal Woods-Saxon potential

Nuclear radii from a nonlocal Woods-Saxon potential

Valence nucleon populations in the Ni isotopes

The effect of average one body potential on the orbit radii measurements in the lead region

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