Multiple scattering theory of proton elastic scattering at intermediate energies

Crespo, R.; Johnson, Ronald C.; Tostevin, J. A.

doi:10.1103/physrevc.46.279

Cited by 43 publications

(40 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…II C. The SRG-evolved NN-N4LO(500)+3Nlnl interaction was used in all results discussed in the section. As a test of the importance of COM removal, we computed for 4,6,8 He, 12 To appreciate the significance of spurious COM removal in light nuclei, consider the comparison between the wiCOM and trinv nonlocal density of 4 He shown in Fig. 1.…”

Section: Nonlocal Density Resultsmentioning

confidence: 99%

Microscopic optical potentials derived from ab initio translationally invariant nonlocal one-body densities

et al. 2018

View full text Add to dashboard Cite

Background: The nuclear optical potential is a successful tool for the study of nucleon-nucleus elastic scattering and its use has been further extended to inelastic scattering and other nuclear reactions. The nuclear density of the target nucleus is a fundamental ingredient in the construction of the optical potential and thus plays an important role in the description of the scattering process. Purpose: In this work we derive a microscopic optical potential for intermediate energies using ab initio translationally invariant nonlocal one-body nuclear densities computed within the no-core shell model (NCSM) approach utilizing two-and three-nucleon chiral interactions as the only input. Methods: The optical potential is derived at first-order within the spectator expansion of the nonrelativistic multiple scattering theory by adopting the impulse approximation. Nonlocal nuclear densities are derived from the NCSM one-body densities calculated in the second quantization. The translational invariance is generated by exactly removing the spurious center-of-mass (COM) component from the NCSM eigenstates. Results: The ground state local and nonlocal densities of 4,6,8 He, 12 C, and 16 O are calculated and applied to optical potential construction. The differential cross sections and the analyzing powers for the elastic proton scattering off these nuclei are then calculated for different values of the incident proton energy. The impact of nonlocality and the COM removal is discussed. Conclusions: The use of nonlocal densities has a substantial impact on the differential cross sections and improves agreement with experiment in comparison to results generated with the local densities especially for light nuclei. For the halo nuclei 6 He and 8 He, the results for the differential cross section are in a reasonable agreement with the data although a more sophisticated model for the optical potential is required to properly describe the analyzing powers.

show abstract

Section: Nonlocal Density Resultsmentioning

confidence: 99%

Microscopic optical potentials derived from ab initio translationally invariant nonlocal one-body densities

et al. 2018

View full text Add to dashboard Cite

show abstract

“…contribution is a simple analytic function of q 2 , the numerical effort in computing the ti nonlocal density is the computation of the sf nonlocal density as a function of q and K in Eq. (21). This is an important advantage of the current method, and avoids the need for transforming NCSM's OBDM elements to relative (Jacobi) coordinates.…”

Section: B Translationally Invariant Nonlocal Densitiesmentioning

confidence: 98%

Ab initio translationally invariant nonlocal one-body densities from no-core shell-model theory

et al. 2018

View full text Add to dashboard Cite

Background: It is well known that effective nuclear interactions are in general nonlocal. Thus if nuclear densities obtained from ab initio no-core-shell-model (NCSM) calculations are to be used in reaction calculations, translationally invariant nonlocal densities must be available.Purpose: Though it is standard to extract translationally invariant one-body local densities from NCSM calculations to calculate local nuclear observables like radii and transition amplitudes, the corresponding nonlocal one-body densities have not been considered so far. A major reason for this is that the procedure for removing the center-of-mass component from NCSM wavefunctions up to now has only been developed for local densities.Results: A formulation for removing center-of-mass contributions from nonlocal one-body densities obtained from NCSM and symmetry-adapted NCSM (SA-NCSM) calculations is derived, and applied to the ground state densities of 4 He, 6 Li, 12 C, and 16 O. The nonlocality is studied as a function of angular momentum components in momentum as well as coordinate space. Conclusions:We find that the nonlocality for the ground state densities of the nuclei under consideration increases as a function of the angular momentum. The relative magnitude of those contributions decreases with increasing angular momentum. In general, the nonlocal structure of the one-body density matrices we studied is given by the shell structure of the nucleus, and can not be described with simple functional forms. PACS numbers: 21.60De,27.20.+n arXiv:1711.07080v1 [nucl-th] 19 Nov 2017where R nl (r) is the radial component of the single-particle harmonic oscillator wave function (defined in Appendix A). Using Eq. (7), the matrix elements of ρ sf ( r, r ) can be expressed as a sum over all tensors ρ ll K (r, r ), ρ sf ( r, r ) = Kll (−1) J −M J K J −M 0 M Y * l l K0 (r,r )ρ ll K (r, r ),separating out the radial and angular components of the nonlocal density.

show abstract

“…[3], the differential cross sections for elastic neutron scattering from the light 12 C and the heavy 208 Pb were measured at 96 MeV incident energy in the interval 10 • -70 • . The authors compared their measured angular distributions with phenomenological [2,4,5] and microscopic [6][7][8] optical model calculations. All the models resulted in good agreements with the 208 Pb data.…”

Section: Introductionmentioning

confidence: 99%

Velocity-dependent optical potential for neutron elastic scattering from1p-shell nuclei

Ghabar

Jaghoub

2015

Phys. Rev. C

View full text Add to dashboard Cite

Background: The conventional optical model is quite successful in describing the nucleon elastic scattering data from medium and heavy nuclei. However, its success in describing the light 1p-shell nuclei is somewhat limited. The velocity-dependent optical potential resulted in a significant improvement in describing the elastic angular distributions for light nuclei in the low energy region. Purpose: To extend the formalism of the velocity-dependent potential to higher energies, and to assess its importance in describing neutron elastic scattering data from light 1p-shell nuclei at high energies. Method: We fit the angular distribution data for neutron elastic scattering from 12 C and 16 O using (i) the velocity-dependent optical potential and (ii) the conventional optical potential. The results of the two models are then compared. At low energies, we compare our angular distribution fits with the fits of other works that exist in the literature. Furthermore, the total integrated cross sections in addition to the analyzing power are calculated using the velocity-dependent optical potential and compared to the experimental data. Results: The velocity-dependent potential resulted in significant improvements in describing the angular distributions particularly in the large-angle scattering region and for certain energy ranges. This model is important where the experimental data show structural effects from nuclear surface deformations, which are important in light nuclei. Furthermore, the calculated total elastic cross sections and analyzing power are in good agreement with the experimental data. Conclusions:The velocity-dependent potential gives rise to surface-peaked real terms in the optical model. Such terms account, at least partly, for the structural effects seen in the angular distribution data. The energy range over which the surface terms are needed is found to depend on the target nucleus. Other works that have introduced real surface terms in the optical potential are discussed.

show abstract

Multiple scattering theory of proton elastic scattering at intermediate energies

Cited by 43 publications

References 47 publications

Microscopic optical potentials derived from ab initio translationally invariant nonlocal one-body densities

Microscopic optical potentials derived from ab initio translationally invariant nonlocal one-body densities

Ab initio translationally invariant nonlocal one-body densities from no-core shell-model theory

Velocity-dependent optical potential for neutron elastic scattering from1p-shell nuclei

Contact Info

Product

Resources

About