The equivalent local potential and the Perey effect

Fiedeldey, H.

doi:10.1016/0029-5582(66)90682-1

Cited by 93 publications

(58 citation statements)

References 8 publications

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“…The main effect of non-locality is to reduce the amplitude of the wave function in the nuclear interior. This is consistent with earlier studies [16][17][18].…”

Section: A Non-local Effects On the Wave Functionssupporting

confidence: 94%

“…All calculations in [16] were based on the Perey-Buck (PB) optical potential and compared with local-phaseequivalents obtained for this interaction. Consistent with what had been found before [17,18], we found that nonlocality affects the scattering wave functions in the nuclear interior out to the surface region. Non-locality similarly affects the bound state in the nuclear interior, but also beyond the surface region because it changes the asymptotic normalization coefficient.…”

Section: Introductionsupporting

confidence: 92%

“…Although we found some cancelation when putting both effects together, the overall effect was still found to be very significant, of the order of ≈ 10 − 30 % change in the differential cross section at the peak of the angular distribution. A standard way to take care of the non-local effects on the wavefunction, without solving a non-local equation, is through the introduction of the so-called Perey factor [17,18]. As shown in [16], this factor does not provide an accurate description of non-locality in transfer reactions.…”

Section: Introductionmentioning

confidence: 99%

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Effects of nonlocal potentials on(p,d)transfer reactions

et al. 2015

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Background: Although local phenomenological optical potentials have been standardly used to interpret nuclear reactions, recent studies suggest the effects of non-locality should not be neglected. Purpose: In this work we investigate the effects of non-locality in (p, d) transfer reactions using non-local optical potentials. We compare results obtained with the dispersive optical model to those obtained using the Perey-Buck interaction. Method: We solved the scattering and bound-state equations for the non-local version of the dispersive optical model. Then, using the distorted wave Born approximation, we calculate the transfer cross section for (p, d) on 40 Ca at Ep=20, 35 and 50 MeV. Results: The inclusion of non-locality in the bound state has a larger effect than on the scattering states. The overall effect on the transfer cross section is very significant. We found an increase due to non-locality in the transfer cross section of ≈ 30 − 50% when using the Perey-Buck interaction and ≈ 15 − 50% when using the dispersive optical potential. Conclusions: Although the details of the non-local interaction can change the magnitude of the effects, our study shows that qualitatively the results obtained using the dispersive optical potential and the Perey-Buck interaction are consistent, in both cases the transfer cross sections are significantly increased.

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“…The main effect of non-locality is to reduce the amplitude of the wave function in the nuclear interior. This is consistent with earlier studies [16][17][18].…”

Section: A Non-local Effects On the Wave Functionssupporting

confidence: 94%

Section: Introductionsupporting

confidence: 92%

Section: Introductionmentioning

confidence: 99%

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Effects of nonlocal potentials on(p,d)transfer reactions

et al. 2015

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“…Following the procedure in [13] for transforming a nonlocal potential to a local equivalent, one finds that for a nonlocal potential with multiple nonlocalities of the Perey-Buck type the local-equivalent potential can be found by solving the transcendental equation (4) where µ N is the reduced mass of the N + A system. This equation is obtained in the lowest order of the expansion of Σ N (r, r ′ ; E) over x and corrections to any order can be built systematically using developments from [14]. In particular, the first order correction is…”

Section: Nonlocal Dom Potential and Nucleon Scatteringmentioning

confidence: 99%

“…(4) by the local Coulomb interaction V coul (r). According to [14], the local spin-orbit term must also be corrected when transforming to a local-equivalent potential. For the present case of a potential with multiple nonlocality parameters, the new spin-orbit term, U le so , of the local-equivalent potential is…”

Section: Nonlocal Dom Potential and Nucleon Scatteringmentioning

confidence: 99%

Implications for(d,p)reaction theory from nonlocal dispersive optical model analysis ofCa40(d,p
Waldecker
¹
,
Timofeyuk
²

2016
Phys. Rev. C
20
1
25
1
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The nonlocal dispersive optical model (NLDOM) nucleon potentials are used for the first time in the adiabatic analysis of a (d,p) reaction to generate distorted waves both in the entrance and exit channels. These potentials were designed and fitted by Mahzoon et al. [Phys. Rev. Lett. 112, 162502 (2014)] to constrain relevant single-particle physics in a consistent way by imposing the fundamental properties, such as nonlocality, energy-dependence and dispersive relations, that follow from the complex nature of nuclei. However, the NLDOM prediction for the 40 Ca(d,p) 41 Ca cross sections at low energy, typical for some modern radioactive beam ISOL facilities, is about 70% higher than the experimental data despite being reduced by the NLDOM spectroscopic factor of 0.73. This overestimation comes most likely either from insufficient absorption or due to constructive interference between ingoing and outgoing waves. This indicates strongly that additional physics arising from many-body effects is missing in the widely used current versions of (d,p) reaction theories.

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