Energy dependent potentials determined by inversion: The<i>p</i>+α potential up to 65 MeV

Cooper, S.G.; Mackintosh, R. S.

doi:10.1103/physrevc.54.3133

Cited by 40 publications

(94 citation statements)

References 28 publications

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“…This method has been described in detail in the references [7,8,9,10,11,12,13] and relevant points and required definitions are simply noted below.…”

Section: The Methodsmentioning

confidence: 99%

Investigation of the coupling potential by means ofS-matrix inversion

Boztosun

Mackintosh

2002

Phys. Rev. C

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We investigate the inelastic coupling interaction by studying its effect on the elastic scattering potential as determined by inverting the elastic scattering S-matrix. We first address the effect upon the real and imaginary elastic potentials of including excited states of the target nucleus. We then investigate the effect of a recently introduced novel coupling potential which has been remarkably successful in reproducing the experimental data for the 12 C+ 12 C, 12 C+ 24 Mg and 16 O+ 28 Si reactions over a wide range of energies. This coupling potential has the effect of deepening the real elastic potential in the surface region, thereby explaining a common feature of many phenomenological potentials. It is suggested that one can relate this deepening to the super-deformed state of the compound nucleus, 24 Mg.

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“…This method has been described in detail in the references [7,8,9,10,11,12,13] and relevant points and required definitions are simply noted below.…”

Section: The Methodsmentioning

confidence: 99%

Investigation of the coupling potential by means ofS-matrix inversion

Boztosun

Mackintosh

2002

Phys. Rev. C

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“…Note also that the final potentials of Ref. [37] were for protons on 16 O for which the OM potential is parity dependent [38]; enforcement of parity independence leads to a more undulatory structure. An example of a highly undulatory potential that is required to give a precise fit to deuteron scattering data is given in Ref.…”

Section: -3mentioning

confidence: 99%

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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“…The relative contributions of the Feshbach and Pauli nonlocalities can also be studied using the technique of Ref. [8].…”

Section: Nonlocality In Nuclear Reactionsmentioning

confidence: 99%

Green's function for nonlocal potentials

Balantekin

Beacom

Ribeiro

1998

J. Phys. G: Nucl. Part. Phys.

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The single-particle nuclear potential is intrinsically nonlocal. In this paper, we consider nonlocalities which arise from the many-body and fermionic nature of the nucleus. We investigate the effects of nonlocality in the nuclear potential by developing the Green's function for nonlocal potentials. The formal Green's function integral is solved analytically in two different limits of the wavelength as compared to the scale of nonlocality. Both results are studied in a quasi-free limit. The results illuminate some of the basic effects of nonlocality in the nuclear medium.

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Energy dependent potentials determined by inversion: Thep+α potential up to 65 MeV

Cited by 40 publications

References 28 publications

Investigation of the coupling potential by means ofS-matrix inversion

Investigation of the coupling potential by means ofS-matrix inversion

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

Green's function for nonlocal potentials

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