Wave Functions of Nonlocal Potentials: The Perey Effect

Austern, N.

doi:10.1103/physrev.137.b752

Cited by 146 publications

(40 citation statements)

References 12 publications

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“…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: 81%

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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Section: Introductionsupporting

confidence: 81%

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

et al. 2015

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“…If such effects are found to be a common consequence of dynamically generated nonlocality, this is likely to be significant for spectroscopic analyses involving direct reactions. Another suggestive phenomenon revealed by these calculations is the occurrence of an emissive region in the "shadow" edge of the nucleus, a clear indication of flux being returned to the elastic channel, a feature identified by Austern [32] as characteristic of nonlocality.…”

Section: Existing Indications Of Significant Dynamic Nonlocalitymentioning

confidence: 98%

Dynamic polarization potential and dynamical nonlocality in nuclear potentials: Nucleon-nucleus potential

Keeley

Mackintosh

2014

Phys. Rev. C

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Background: Of the two sources of nonlocality in nucleon-nucleus and nucleus-nucleus interactions, knock-on exchange and dynamically generated, almost all papers referring to nonlocality mention only the first. Purpose: Our purpose is threefold: to demonstrate a method for including dynamical nonlocality, for which a simple prescription (like the Perey factor for exchange nonlocality) is unknown, within distorted wave Born approximation (DWBA) calculations; to identify signatures of dynamic nonlocality and illuminate the extent to which the presence of such nonlocality can influence the extraction of spectroscopic information from direct reactions, and more generally, to increase our understanding of nucleus-nucleus interactions. Methods: After reviewing existing indications of dynamically induced nonlocality, DWBA transfer calculations are presented which compare results involving dynamically nonlocal potentials with those involving their local equivalents. The dynamical nonlocal potentials are generated in situ by the presence of channel coupling and the local equivalents are generated by inversion of the corresponding coupled channel elastic S matrix. This method obviates the need for solving integro-differential equations for including nonlocal potentials in DWBA. Results: The coupling of nucleons to collective states of the target nucleus induces dynamical nonlocality in the nucleon-nucleus interaction that has a significant effect on (p,d) reactions at energies relevant to spectroscopic studies. Conclusions: A method for studying the contribution of dynamically induced nonlocality in nuclear interactions has been demonstrated. Dynamically induced nonlocality should not be overlooked in the analysis of direct reactions. The method can also be applied to dynamic nonlocality due to projectile excitation.

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“…For both these latter cases and for 40 Ca, the real-central DPP cannot be represented as a uniform renormalization of the bare potential since the real DPP tends to peak at the nuclear center in this case. This radial shape for the real-central DPP results in an increase of the rms radius of the total potential, whereas, for scattering from the halo nuclei 6 He [3] and 8 He [2,4], the shape of the repulsive DPP is such to decrease the rms radius. This difference currently remains a challenge to the understanding.…”

Section: A Summary Of Findingsmentioning

confidence: 99%

“…Its effects on direct reactions can therefore not be assumed to be accounted for by the usual Perey [7] correction (see also Refs. [8,9]). Moreover, the L dependence is not related to the parity dependence that follows from certain other exchange processes.…”

Section: Introductionmentioning

confidence: 99%

Coupling effects in proton scattering from40Ca

Mackintosh

Keeley

2012

Phys. Rev. C

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Recent studies showed that neutron pickup makes a substantial contribution to the proton optical model potential (OMP) for light, mostly halo, target nuclei. Here, we extend those studies to a more "normal" target nucleus: 40 Ca. We present coupled reaction channel (CRC) calculations with the coupling of 30.3 MeV incident protons to deuterons and up to 12 states of 39 Ca. The proton elastic scattering S matrix from the CRC calculation is subject to S lj → V (r) + l · s V SO (r) inversion and the bare potential of the CRC calculation is subtracted, directly yielding a local and L-independent representation of the dynamic polarization potential (DPP). This is appropriate for comparison with phenomenological OMPs and local OMPs derived in local density folding models. The real-central part of the DPP is repulsive and cannot be represented as a uniform normalization of the bare potential, changing the rms radius. A series of model calculations reveal the dependence of the DPP on a range of parameters illuminating (i) departures of nucleon potentials of specific nuclei from global properties, (ii) the generation of repulsion, and (iii) the requirements for all-order CRC and deuteron breakup. Light is thrown on the nonlocality of the underlying DPP.

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Wave Functions of Nonlocal Potentials: The Perey Effect

Cited by 146 publications

References 12 publications

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

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

Dynamic polarization potential and dynamical nonlocality in nuclear potentials: Nucleon-nucleus potential

Coupling effects in proton scattering from40Ca

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