Phenomenological analysis of dispersion corrections for neutron and proton scattering from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>208</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>

Finlay, R.W.; Wierzbicki, J.; Das, R. K.; Dietrich, Frank

doi:10.1103/physrevc.39.804

Cited by 22 publications

(28 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It has been extended to include inelastic scattering by the coupled-channels formalism [4,5] and consideration of dispersion effects allows us to describe both bound and scattering states by the same nuclear mean field [6][7][8][9][10][11][12][13][14][15][16]. These dispersion effects follow from the requirement of causality, namely that the scattering wave is not emitted before the incident wave arrives [7].…”

Section: Introductionmentioning

confidence: 99%

Dispersive coupled-channel analysis of nucleon scattering fromTh232up to 200 MeV

et al. 2005

View full text Add to dashboard Cite

An isospin-dependent coupled-channels optical model potential containing a dispersive term (including nonlocal contribution) is used to simultaneously fit the available experimental database (including strength functions and scattering radius) for neutron and proton scattering on strongly deformed 232 Th nucleus. The energy range 0.001-200 MeV is covered. A dispersive coupled-channel optical model potential with parameters that show a smooth energy dependence and energy independent geometry are determined from fits to the entire data set. Dispersive contribution is shown to be the dominant Coulomb correction to the proton real potential below the Coulomb barrier. Inclusion of nonlocality effects in the absorptive volume potential and its corresponding dispersive contribution to the real potential is needed to achieve an excellent agreement above 100 MeV.

show abstract

Section: Introductionmentioning

confidence: 99%

Dispersive coupled-channel analysis of nucleon scattering fromTh232up to 200 MeV

et al. 2005

View full text Add to dashboard Cite

show abstract

“…While the optical models were being developed in the work to be reported in the present paper, Finlay et al [8] presented optical-model analyses of o (8) and A~ (8) data for Pb(p, p) for 9(E 61 MeV and of o(8) for Pb(n, n) for 4(E (40 MeV. In addition to conventional SOM analyses, they performed analyses first involving the dispersion relation (but without considering the bound-state information in the region E (0) and then involving non-Woods-Saxon shape potentials via a Fourier-Bessel description.…”

Section: Introductionmentioning

confidence: 99%

Measurement ofAy(θ) forn+208Pb from 6 to 10 MeV and the

et al. 1991

View full text Add to dashboard Cite

High-accuracy measurements of A~(0) data for elastic scattering and inelastic scattering to the first excited state for n+ Pb have been performed at 6, 7, 8, 9, and 10 MeV. In addition, o(0) was rneasured at 8 MeV. These data provide an important subset for the growing database for the n+ 'Pb system from bound-state energies to energies above 40 MeV, the limit of the range of interest here. This database has been interpreted via several approaches. First, a conventional %'oods-Saxon spherical optical was used to obtain three potential representations for the energy range from 4 to 40 MeV: "best fits" at each energy, constant-geometry global fit with linear energy dependences for the potential strengths for the range 4.0 -40 MeV, and an extension of the latter model to allow a linear energy dependence on the radii and diffuseness. A preference for a complex spin-orbit interaction was observed in all cases. Second, the dispersion relation was introduced into the spherical optical model to obtain a more "realistic" representation. In our approach, the strength and shape of the real potential was modified by calculating the dispersion-relation contributions that originate from the presence of the surface and volume imaginary terms. Two potentials were developed, one based only on the scattering data (from 4.0 to 40 MeV) and another based additionally on single-particle and single-hole information down to a binding energy of 17 MeV. In addition, the o. (0) and A~(8) measurements were compared to earlier conventional and dispersion-relation models. One of the latter of these included an l dependence in the absorptive surface term, and we applied this model in the 6to 10-MeV region to describe all the o. (0) and the new A~(0). A reasonably good overall description was obtained by all the models; however, only the Idependent model came close to giving a detailed agreement to the data around 7 MeV, a region where some abnormal angular dependences occur in the data. numerous reasons for this. First, there exists a wealth of high-accuracy differential cross-section o. (0) and total cross-section O. z-data over a wide energy range. Second, there also exists a large amount of complementary information about bound states, both particle and hole states, for the n+ Pb system. In addition, many phenomenological models have been developed which have shown that Pb(n, n) is a good candidate for a sphericaloptical-mode (SOM) representation. Last, there is a large amount of complementary Pb(p, p) data; this feature permits detailed comparison between models for the two scattering systems and allows investigation of isospin and Coulomb effects.Detailed information about Pb(n, n) elastic-scattering differential cross sections cr(0) have been obtained in a set of careful measurements performed at Ohio University [3 -5). From a comprehensive analysis of this work in 1985, Armand, Finlay, and Dietrich [5] found that the data set could not be 6t at all energies using Woods-Saxon (WS) form factors with constant geometry. The fits to the dif...

show abstract

“…The data points at E>0 refer to the potential given in Table 1 of (Mahaux and Sartor, 1991b) (the light squares), to the potentials of (Chiba et al, 1992) (the light rhombi), of (Delaroche et al 1989) (the crosses), and of (Roberts et al 1991) (the light circles). refer to the OM potentials contained in the compilation of Perey and Perey (1976) (the triangles open upwards), to the potential given by Wang et al (1993) in Table I (the black triangles), and the grid-search results of Finlay et al (1989) (the bars) . ,10,15-18,20,21).…”

Section: Panel Bmentioning

confidence: 99%

“…One can also use the empirical dependence of E F on relative neutron excess N-Z/A found by Jeukenne et al (1990) Bauer et al (1982), and with the results of the various individual OM analyses, including the volume integrals obtained in (Delaroche et al, 1989;Chiba et al, 1992;Wang et al, 1993;Roberts et al, 1991;Finlay et al, 1989;Perey and Perey, 1976) were analyzed in terms of the dispersive OM. Note also that the real potential (Bauer et al, 1982) was defined in the energy range less the region near the Fermi energy.…”

Section: The Real Potential Of Woods-saxon Shape From -60 To +60 Mevmentioning

confidence: 99%

Nucleon–nucleus real potential of Woods–Saxon shape between 60 and 60 MeV for the 40 A 208 nuclei

Беспалова

Romanovsky

Spasskaya

2003

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

View full text Add to dashboard Cite

The nucleon differential elastic scattering cross sections, the total proton reaction cross sections, and the single-particle energies of nucleon bound states for 40 Ca, 90 Zr, and 208 Pb nuclei are reanalyzed in terms of the dispersive optical model at energies ranging from -75 MeV to 60 MeV. The resultant real effective Woods-Saxon potential, which corresponds to the dispersive potential, is studied as dependent on A, Z, and E and on projectile specie (proton or neutron). For the first time, a parameterization of the Woods-Saxon real part of the nucleonnucleus optical potential is proposed for the 208 40 A nuclei at energy ranging from -60 MeV to +60 MeV, including a range near the Fermi energy. The parameterization reflects the dispersion relation between the real and imaginary parts of the optical model potential through the energy dependence of the radius parameter of the real part of the potential. The method to determine the imaginary part of the optical model potential, which is symmetrical relative to the Fermi energy, is also proposed for the 208 40 A nuclei. The differential elastic scattering cross sections, the total neutron interaction cross sections, the total proton reaction cross sections, and the single-particle energies of the nucleon bound states calculated in terms of the proposed nucleon-nucleus potential parameterization for some of the n,p+A ( 40 A) systems are compared with the available experimental data, yielding a fairly good agreement.

show abstract

Phenomenological analysis of dispersion corrections for neutron and proton scattering fromPb208

Cited by 22 publications

References 33 publications

Dispersive coupled-channel analysis of nucleon scattering fromTh232up to 200 MeV

Dispersive coupled-channel analysis of nucleon scattering fromTh232up to 200 MeV

Measurement ofAy(θ) forn+208Pb from 6 to 10 MeV and the

Nucleon–nucleus real potential of Woods–Saxon shape between 60 and 60 MeV for the 40 A 208 nuclei

Contact Info

Product

Resources

About