Second order slip flow and heat transfer over a stretching sheet with non-linear Navier boundary condition (original) (raw)
Related papers
Inelastic neutrino-nucleus scattering in the superscaling model
Proceedings of The 22nd International Workshop on Neutrinos from Accelerators — PoS(NuFact2021)
Charged-current inclusive neutrino cross sections on 12 C and 40 Ar target are analyzed using the susperscaling model SuSAv2, for the first time extended to the full inelastic region. The model contains two new ingredients: the first is a scaling function used to describe the Δ resonance region, built after subtracting from (, ′) experimental cross sections the quasielastic, two-particle two-hole, higher resonances and deep inelastic scattering (DIS) contributions arising from the SuSAv2-MEC model [1]; the second is the description of the resonance and DIS regimes through the extension to the neutrino sector of the SuSAv2-inelastic model already available for (, ′) reactions, which combines phenomenological structure functions with a nuclear scaling function. Two different options for the description of the Δ region are presented and discussed. The results of the model are tested against (, ′) data and inclusive neutrino cross-section measurements from the T2K and ArgoNEUT experiments, thus covering several kinematical regions.
Using electron scattering superscaling to predict charge-changing neutrino cross sections in nuclei
Physical Review C, 2005
Superscaling analyses of few-GeV inclusive electron scattering from nuclei are extended to include not only quasielastic processes, but now also into the region where ∆-excitation dominates. It is shown that, with reasonable assumptions about the basic nuclear scaling function extracted from data and information from other studies of the relative roles played by correlation and MEC effects, the residual strength in the resonance region can be accounted for through an extended scaling analysis. One observes scaling upon assuming that the elementary cross section by which one divides the residual to obtain a new scaling function is dominated by the N → ∆ transition and employing a new scaling variable which is suited to the resonance region. This yields a good representation of the electromagnetic response in both the quasielastic and ∆ regions. The scaling approach is then inverted and predictions are made for charge-changing neutrino reactions at energies of a few GeV, with focus placed on nuclei which are relevant for neutrino oscillation measurements. For this a relativistic treatment of the required weak interaction vector and axialvector currents for both quasielastic and ∆-excitation processes is presented.
Neutrino-nucleus cross section in the impulse approximation regime
Nuclear Physics B - Proceedings Supplements, 2005
In the impulse approximation regime the nuclear response to a weakly interacting probe can be written in terms of the measured nucleon structure fuctions and the target spectral function, yielding the energy and momentum distribution of the constituent nucleons. We discuss a calculation of charged current neutrino-oxygen interactions in the quasielastic channel, carried out within nuclear many body theory. The proposed approach, extensively and successfully employed in the analysys of electron-nucleus scattering data, allows for a parameter free prediction of the neutrino-nucleus cross section, whose quantitative understanding will be critical to the analysis of the next genaration of high precision neutrino oscillation experiments.
Superscaling Predictions for Neutral Current Quasielastic Neutrino-Nucleus Scattering
Physical Review Letters, 2008
The application of superscaling ideas to predict neutral-current (NC) quasielastic (QE) neutrino cross sections is investigated. The relativistic impulse approximation (RIA) using the same relativistic mean field potential (RMF) for both initial and final nucleons-a model that reproduces the experimental e; e 0 scaling function-is used to illustrate our findings. While NC reactions are apparently not well suited for scaling analyses, to a large extent, the RIA-RMF predictions do exhibit superscaling. Independence of the scaled response on the nuclear species is very well fulfilled. The RIA-RMF NC superscaling function is in good agreement with the experimental e; e 0 one. The idea that electroweak processes can be described with a universal scaling function, provided that mild restrictions on the kinematics are assumed, is shown to be valid.
Modeling neutrino-nucleus interactions in the quasi-elastic regime
2008
In the energy region below 1 GeV, neutrino-scattering off nuclei is dominated by quasi-elastic processes. Several effects influence the outcome of these reactions, and the result of cross section calculations depends on choices in model and parameterization. We discuss the main sensitivities of quasi-elastic processes and their influence on cross section results.
Physical review, 2022
In this work we obtain the analytical expressions for the boundaries of the charged current quasielastic double differential cross section in terms of dimensionless energy and momentum transfers, for the Relativistic Fermi Gas (RFG) and the Super-Scaling approach with relativistic effective mass (SuSAM*) models, within the scaling formalism. In addition, we show that this double differential cross section in the scaling formalism has very good properties to be implemented in the Monte Carlo (MC) neutrino event generators, particularly because its peak is almost flat with the (anti)neutrino energy. This makes it especially well-suited for the event generation by the acceptance-rejection method usually used in the neutrino generators. Finally, we analyze the total charged current quasi-elastic (CCQE) cross section σ(Eν) for both models and attribute the enhancement observed in the SuSAM* total cross section to the high-momentum components which are present, in a phenomenological way, in its scaling function, while these are absent in the RFG model.
Relativistic models for quasi-elastic neutrino-nucleus scattering
2011
We present quasi-elastic neutrino-nucleus cross sections in the energy range from 150 MeV up to 5 GeV for the target nuclei 12 C and 56 Fe. A relativistic description of the nuclear dynamics and the neutrino-nucleus coupling is adopted. For the treatment of final-state interactions (FSI) we rely on two frameworks succesfully applied to exclusive electron-nucleus scattering: a relativistic optical potential and a relativistic multiple-scattering Glauber approximation. At lower energies, the optical-potential approach is considered to be the optimum choice, whereas at high energies a Glauber approach is more natural. Comparing the results of both calculations, it is found that the Glauber approach yields valid results down to the remarkably small nucleon kinetic energies of 200 MeV. We argue that the nuclear transparencies extracted from A(e, e ′ p) measurements can be used to obtain realistic estimates of the effect of FSI mechanisms on quasi-elastic neutrinonucleus cross sections. We present two independent relativistic plane-wave impulse approximation (RPWIA) calculations of quasi-elastic neutrino-nucleus cross sections. They agree at the percent level, showing the reliability of the numerical techniques adopted and providing benchmark RPWIA results.
AIP Conference Proceedings, 2007
Superscaling analyses of inclusive electron scattering from nuclei are extended from the quasielastic processes to the delta-excitation region. The calculations of both quasielastic and delta longitudinal and transverse response functions, as well as of (e, e ) cross sections for 12 C at various incident electron energies are performed in approaches going beyond the mean-field approximation, such as the coherent density fluctuation model and that one based on the light-front dynamics method. The obtained scaling functions are used to predict charge-changing neutrino-nucleus cross sections. The analysis makes it possible to gain information about the nucleon correlation effects on both basic quantities of the nuclear ground state, the local density and the nucleon momentum distributions.
Physical Review C, 2006
Superscaling analyses of inclusive electron scattering from nuclei are extended from the quasielastic processes to the delta excitation region. The calculations of (e, e ′ ) cross sections for the target nucleus 12 C at various incident electron energies are performed using scaling functions f (ψ ′ ) obtained in approaches going beyond the mean-field approximation, such as the coherent density fluctuation model (CDFM) and the one based on the light-front dynamics (LFD) method. The results are compared with those obtained using the relativistic Fermi gas (RFG) model and the extended RFG model (ERFG). Our method utilizes in an equivalent way both basic nuclear quantities, density and momentum distributions, showing their role for the scaling and superscaling phenomena. The approach is extended to consider scaling function for medium and heavy nuclei with Z = N for which the proton and neutron densities are not similar. The asymmetry of the CDFM quasielastic scaling function is introduced, simulating in a phenomenological way the effects which violate the symmetry for ψ ′ ≥ 0 including the role of the final-state interaction (FSI). The superscaling properties of the electron scattering are used to predict charge-changing neutrinonucleus cross sections at energies from 1 to 2 GeV. A comparison with the results of the ERFG model is made. The analyses make it possible to gain information about the nucleon correlation effects on both local density and nucleon momentum distributions.