First order optical potentials and 25 to 40 MeV proton elastic scattering

Deb, Pradip; Amos, K.; Karataglidis, S.

doi:10.1103/physrevc.62.037601

Cited by 9 publications

(8 citation statements)

References 25 publications

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“…The question now arises as to whether one can incorporate additional corrections so as to consistently improve these low energy results within the framework of the RIA. Various authors [4,30,31] have stressed that importance of nuclear medium modifications to the NN interaction at lower energies. In particular, a number of theoretical models [13,32,33,34] predict density-dependent corrections to meson-nucleon coupling constants as well as nucleon-and meson-masses in normal nuclear matter.…”

Section: Relativistic Mean Field Theory (Rmf)mentioning

confidence: 99%

“…The Melbourne group have already developed a highly predictive microscopic Schrödinger model for describing elastic scattering at energies between 20 and 800 MeV [3,4]. Here, however, we focus on the RIA which is based on the relativistic Dirac equation, and is more attractive in the sense that the microscopic scalar and vector optical potentialsand consequently the corresponding Schrödinger-equivalent central and spin-orbit optical potentials [1]-are directly related to the Lorentz properties of the mesons mediating the strong nuclear force, a connection lacking in nonrelativistic models.…”

Section: Introductionmentioning

confidence: 99%

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Validity of the relativistic impulse approximation for elastic proton-nucleus scattering at energies lower than 200 MeV

Hillhouse

Meng

2008

Phys. Rev. C

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We present the first study to examine the validity of the relativistic impulse approximation (RIA) for describing elastic proton-nucleus scattering at incident laboratory kinetic energies lower than 200 MeV. For simplicity we choose a 208 Pb target, which is a spin-saturated spherical nucleus for which reliable nuclear structure models exist. Microscopic scalar and vector optical potentials are generated by folding invariant scalar and vector scattering nucleon-nucleon (NN) amplitudes, based on our recently developed relativistic meson-exchange model, with Lorentz scalar and vector densities resulting from the accurately calibrated PK1 relativistic mean field model of nuclear structure. It is seen that phenomenological Pauli blocking (PB) effects and density-dependent corrections to σN and ωN meson-nucleon coupling constants modify the RIA microscopic scalar and vector optical potentials so as to provide a consistent and quantitative description of all elastic scattering observables, namely total reaction cross sections, differential cross sections, analyzing powers and spin rotation functions. In particular, the effect of PB becomes more significant at energies lower than 200 MeV, whereas phenomenological density-dependent corrections to the NN interaction also play an increasingly important role at energies lower than 100 MeV.

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Section: Relativistic Mean Field Theory (Rmf)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Validity of the relativistic impulse approximation for elastic proton-nucleus scattering at energies lower than 200 MeV

Hillhouse

Meng

2008

Phys. Rev. C

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“…In principle, one may be able to use microscopic calculations to derive the form of the optical potential. An example of such studies is the microscopic proton optical potentials based on the g matrix approach [19,20] which provide good predictions for several reaction observables. However, more recent ab initio efforts [21,22] demonstrate the difficulties of computing the optical potential from first principles, both due to model space truncations as well as deficiencies in the NN force.…”

Section: Introductionmentioning

confidence: 99%

Exploration of the energy dependence of proton nonlocal optical potentials

2018

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Background: Given the importance of including nonlocality in the effective interactions in reaction models, a recent phenomenological study focusing on neutron-target non-local optical potentials suggests the need for the inclusion of explicit energy dependence (Phys. Rev. C 96, 051601). Purpose: In this work, we inspect whether the same is true for proton non-local optical potentials. Method: Similarly to the earlier work (Phys. Rev. C 96, 051601), we perform a χ 2 analysis of proton elastic scattering data on 40 Ca, 90 Zr and 208 Pb at energies ranging E ≈ 10 − 45 MeV, assuming the Tian, Pang, and Ma non-local form for the optical potential. We introduce energy and asymmetry dependencies in the imaginary part of the potential and refit the data to obtain a global parameterization. Results: No matter which starting point is used, or whether we include backward angles in the fitting procedure, our results show the emergence of a strong energy dependence in the potential. We also show that while our parameterization represents only a modest improvement over the original energy-independent potential for those cases included in the fit, our new energy-dependent potential extrapolates much better for nuclei not included in the fit and for energies above those included. Conclusions: As for the neutron case, we conclude that non-locality alone cannot provide a complete description of proton elastic scattering data and that a significant energy dependence is required.

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“…[34] for the 58 Ni nucleus, Zenihiro et al [40] and Terashima et al [41] have deduced the neutron density distributions of Pb and Sn isotopes, respectively, in the form of a model-independent sum-of-Gaussians distribution. The Melbourne group has developed a highly predictive microscopic Schrödinger model for describing elastic scattering at energies between 20 and 800 MeV [32,42,43], where the complex OPs were formed by folding effective NN interactions with the density matrices of the nuclear ground state.…”

Section: Introductionmentioning

confidence: 99%

“…Microscopical optical potentials can be obtained by folding realistic nuclear densities with an effective nuclear interaction fitted only to NN phase shifts [32,38,39,[42][43][44][45][46] and also within the framework of the Dirac-Brueckner-Hartree-Fock approach [47]. These OPs are in general able to give a good description of elastic proton-nucleus scattering data, although not as good as with purely phenomenological OPs, which, on the other hand, suffer from ambiguities in the interpretation of the parameters, since different parametrizations, that is different optical potentials, may fit the data equally well.…”

Section: Introductionmentioning

confidence: 99%

Global relativistic folding optical potential and the relativistic Green's function model

et al. 2016

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Optical potentials provide critical input for calculations on a wide variety of nuclear reactions, in particular, for neutrino-nucleus reactions, which are of great interest in the light of the new neutrino oscillation experiments. We present the global relativistic folding optical potential (GRFOP) fits to elastic proton scattering data from 12 C nucleus at energies between 20 and 1040 MeV. We estimate observables, such as the differential cross section, the analyzing power, and the spin rotation parameter, in elastic proton scattering within the relativistic impulse approximation. The new GRFOP potential is employed within the relativistic Green's function model for inclusive quasielastic electron scattering and for (anti)neutrino-nucleus scattering at MiniBooNE kinematics.

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First order optical potentials and 25 to 40 MeV proton elastic scattering

Cited by 9 publications

References 25 publications

Validity of the relativistic impulse approximation for elastic proton-nucleus scattering at energies lower than 200 MeV

Validity of the relativistic impulse approximation for elastic proton-nucleus scattering at energies lower than 200 MeV

Exploration of the energy dependence of proton nonlocal optical potentials

Global relativistic folding optical potential and the relativistic Green's function model

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