Ab initio Folding Potentials for Nucleon-Nucleus Scattering based on NCSM One-Body Densities

Burrows, M.; Elster, Ch.; Weppner, S. P.; Launey, K. D.; Maris, P.; Nogga, A.; Popa, G.

doi:10.48550/arxiv.1810.06442

Cited by 10 publications

(33 citation statements)

References 57 publications

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“…Crespo and Moro calculated dσ/dΩ and A y for the p+ 4,6,8 He scattering at E lab = 297 MeV, using the Multiple Scattering expansion [9]. Microscopic optical potentials derived from NN t matrix and nonlocal density was applied to the p+ 4 He scattering at E lab = 200 MeV [10], and reproduced the data of Ref.…”

Section: Introductionmentioning

confidence: 69%

“…The model predicted dσ/dΩ and A y for 6 He, but not does account for the data [7] for 4 He in q > 3.3 fm −1 (θ cm > 80 • ). Ab initio folding potentials based on no-core shell-model [8] were constructed and applied for p+ 4,6 He scattering at E lab = 200 MeV. The model reproduces the data on dσ/dΩ for 6 He, but not dσ/dΩ for 4 He in q > 2.5 fm −1 (θ cm > 60 • ).…”

Section: Introductionmentioning

confidence: 99%

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Prediction of the analyzing power for $\vec{p}$+$^{6}$He elastic scattering at 200 MeV from $\vec{p}$+$^{4}$He elastic scattering at 200 MeV

Ishii,

Iseri,

Yahiro

2020

Preprint

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We apply the cluster-folding (CF) model for p+ 6 He scattering at 200 MeV, where the potential between p and 4 He is fitted to data on p+ 4 He scattering at 200 MeV. For p+ 6 He scattering at 200 MeV, the CF model reproduces measured differential cross section with no free parameter, We then predict the analyzing power Ay(q) with the CF model, where q is the transfer momentum. Johnson, Al-Khalili and Tostevin construct a theory for one-neutron halo scattering, taking (1) the adiabatic approximation and (2) neglecting the interaction between a valence neutron and a target, and yield a simple relationship between the elastic scattering of a halo nucleus and of its core under certain conditions. We improve their theory with (3) the eikonal approximation in order to determine Ay(q) for 6 He from the data on Ay(q) for 4 He. The improved theory is accurate, when approximation (1)-( 3) are good. Among the three approximations, approximation ( 2) is most essential. The CF model shows that approximation (2) is good in 0.9 < q < 2.4 fm −1 . In the improved theory, the Ay(q) for 6 He is the same as that for 4 He. In 0.9 < q < 2.4 fm −1 , we then predict Ay(q) for p+ 6 He scattering at 200 MeV from measured Ay(q) for p+ 4 He scattering at 200 MeV. We thus predict Ay(q) with the model-dependent and the model-independent prescription. The ratio of differential cross sections measured for 6 He to that for 4 He is related to the wave function of 6 He. We then determine the radius between 4 He and the center-of-mass of valence two neutrons in 6 He. The radius is 5.77 fm.

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Section: Introductionmentioning

confidence: 69%

Section: Introductionmentioning

confidence: 99%

Prediction of the analyzing power for $\vec{p}$+$^{6}$He elastic scattering at 200 MeV from $\vec{p}$+$^{4}$He elastic scattering at 200 MeV

Ishii,

Iseri,

Yahiro

2020

Preprint

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“…[31] and implemented in Refs. [20,32], in Fig. 13(b) we see these two quantities are strongly correlated with a correlation coefficient of 0.99.…”

Section: E Neutron-nucleus Scattering In Forward Directionmentioning

confidence: 79%

Ab initio nucleon-nucleus elastic scattering with chiral effective field theory uncertainties

Baker¹,

McClung²,

Elster³

et al. 2021

Preprint

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Background: Effective interactions for nucleon-nucleus elastic scattering from first principles require the use of the same nucleon-nucleon interaction in the structure and reaction calculations, and a consistent treatment of the relevant operators at each order.Purpose: Systematic investigations of the effect of truncation uncertainties of chiral nucleon-nucleon (N N ) forces have been carried out for scattering observables in the two-and three-nucleons system as well as for bound state properties of light nuclei. Here we extend this type of study to proton and neutron elastic scattering for 16 O and 12 C.Methods: Using the frameworks of the spectator expansion of multiple scattering theory as well as the no-core shell model, we employ one specific chiral interaction from the LENPIC collaboration and consistently calculate the leading order effective nucleon-nucleus interaction up to the third chiral order (N2LO), from which we extract elastic scattering observables. Then we apply pointwise as well as correlated uncertainty quantification for the estimation of the chiral truncation error.Results: We calculate and analyze proton elastic scattering observables for 16 O and neutron elastic scattering observables for 12 C between 65 and 185 MeV projectile kinetic energy. We find qualitatively similar results for the chiral truncation uncertainties as in few-body systems, and assess them using similar diagnostic tools. The orderby-order convergence of the scattering observables for 16 O and 12 C is very reasonable around 100 MeV, while for higher energies the chiral expansion parameter becomes too large for convergence. We also find a nearly perfect correlation between the differential cross section for neutron scattering and the N N Wolfenstein amplitudes for small momentum transfers. Conclusions:The diagnostic tools for studying order-by-order convergence of a chiral N N interaction in observables in few-body systems can be employed for observables in nucleon-nucleus scattering with only minor modifications provided the momentum scale in the problems is not too large. We also find that the chiral N N interaction on which our study is based on, gives a very good description of differential cross sections as well as spin observables for 16 O and 12 C as low as 65 MeV projectile energy. In addition, the very forward direction of the neutron differential cross section mirrors the behavior of the N N interaction amazingly well.

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“…[51] and illustrated in Ref. [52]. Briefly, we treat each calculation of µ and S n (for different values of hΩ and N max ) as elements of two separate vectors.…”

Section: Resultsmentioning

confidence: 99%

Nuclear spin features relevant to ab initio nucleon-nucleus elastic scattering

Baker,

Burrows,

Elster

et al. 2021

Preprint

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Background: Effective interactions for elastic nucleon-nucleus scattering from first principles require the use of the same nucleon-nucleon interaction in the structure and reaction calculations, as well as a consistent treatment of the relevant operators at each order.Purpose: Previous work using these interactions has shown good agreement with available data. Here, we study the physical relevance of one of these operators, which involves the spin of the struck nucleon, and examine the interpretation of this quantity in a nuclear structure context.Methods: Using the framework of the spectator expansion and the underlying framework of the no-core shell model, we calculate and examine spin-projected, one-body momentum distributions required for effective nucleonnucleus interactions in J = 0 nuclear states. Results:The calculated spin-projected, one-body momentum distributions for 4 He, 6 He, and 8 He display characteristic behavior based on the occupation of protons and neutrons in single particle levels, with more nucleons of one type yielding momentum distributions with larger values. Additionally, we find this quantity is strongly correlated to the magnetic moment of the 2 + excited state in the ground state rotational band for each nucleus considered.Conclusions: We find that spin-projected, one-body momentum distributions can probe the spin content of a J = 0 wave function. This feature may allow future ab initio nucleon-nucleus scattering studies to inform spin properties of the underlying nucleon-nucleon interactions. The observed correlation to the magnetic moment of excited states illustrates a previously unknown connection between reaction observables such as the analyzing power and structure observables like the magnetic moment.

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Ab initio Folding Potentials for Nucleon-Nucleus Scattering based on NCSM One-Body Densities

Cited by 10 publications

References 57 publications

Prediction of the analyzing power for $\vec{p}$+$^{6}$He elastic scattering at 200 MeV from $\vec{p}$+$^{4}$He elastic scattering at 200 MeV

Prediction of the analyzing power for $\vec{p}$+$^{6}$He elastic scattering at 200 MeV from $\vec{p}$+$^{4}$He elastic scattering at 200 MeV

Ab initio nucleon-nucleus elastic scattering with chiral effective field theory uncertainties

Nuclear spin features relevant to ab initio nucleon-nucleus elastic scattering

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