Differential cross sections and analyzing powers for small angle neutron-proton elastic scattering between 378 and 1135 MeV

Silverman, B.H.; Lugol, J.C.; Saudinos, J.; Terrien, Y.; Wellers, F.; Dobrovolsky, A. V.; Khanzadeev, A.; Korolev, G.A.; Petrov, G.E.; Spiridenkov, E.; Vorobyov, A.A.

doi:10.1016/0375-9474(89)90062-6

Cited by 35 publications

(9 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[11], (dot-dash line) is compared to the result of the calculation including FSI, carried out with the parametrization of the NN scattering amplitude of refs. [15,16] (solid line labelled σ tot ). Note that the PWIA F (q, y) approaches y-scaling from below, whereas the occurrence os FSI leads to a convergence from above.…”

Section: Figmentioning

confidence: 99%

See 1 more Smart Citation

Interpretation ofyScaling of the Nuclear Response

Benhar

1999

Phys. Rev. Lett.

View full text Add to dashboard Cite

The behavior of the nuclear matter response in the region of large momentum transfer, in which plane wave impulse approximation predicts the onset of y-scaling, is discussed. The theoretical analysis shows that scaling violations produced by final state interactions are driven by the momentum dependence of the nucleon-nucleon scattering cross section. Their study may provide valuable information on possible modifications of nucleon-nucleon scattering in the nuclear medium.PACS numbers: 13.60. Hb, 13.75.Cs, 25.30.Fj Inclusive scattering of high energy electrons off nuclear targets has long been recognized as a powerful tool to measure the nucleon momentum and removal energy distribution [1]. The underlying picture is that at large momentum transfer electron-nucleus scattering reduces to the incoherent sum of elementary scattering processes involving individual nucleons, distributed in momentum and removal energy according to the spectral function P (k, E). In the early seventies, West first pointed out [2] that, if the electron-nucleon processes are elastic and the final state state interactions between the struck particle and the spectator system can be neglected, the nuclear response S(q, ω), which generally depends upon both momentum (q) and energy (ω) transfer, exhibit scaling, i.e. it can be simply related to a function of only one kinematical variable, denoted y. Within the simplest nonrelativistic approximation, y can be identified with the minimum projection of the nucleon momentum along the direction of the momentum transfer, while the scaling function F (y) = (q/m)S(q, ω), where m denotes the nucleon mass, can be directly written in terms of the nucleon momentum distribution.The approach to y-scaling in few-nucleon systems [3,4] and medium-heavy nuclei [5] has been experimentally investigated at SLAC in the kinematical domain extending up to Q 2 = q 2 − ω 2 ∼ 3 (GeV/c) 2 . Recent measurements carried out at TJNAF using Carbon, Iron and Gold targets have extended the Q 2 range up to ∼ 7 (GeV/c) 2 [6]. The available data, plotted as a function of y, display a striking overall scaling behavior at y < 0, corresponding to ω < ω QE (ω QE = Q 2 /2m, is the energy transfer associated with elastic scattering off a free nucleon at rest), indicating that elastic scattering off individual nucleons is indeed the dominant reaction mechanism in that region. However, the analysis of the Q 2 -dependence at fixed y shows sizeable scaling violations at y < −0.2 GeV/c and Q 2 < 3 (GeV/c) 2 , to be ascribed mainly to final state interactions (FSI). Recenlty, Donnelly and Sick [7] have also shown that the y-scaling functions of different nuclei exhibit scaling of the second kind in the new variable ψ ′ = y/k F , k F being the Fermi momentum.The relevance of FSI in the kinematical regime of the SLAC data has been systematically studied in refs. [8][9][10], within a microscopic many-body approach in which nucleon-nucleon (NN) correlations are consistently taken into account in both the initial and final state. The results of...

show abstract

Section: Figmentioning

confidence: 99%

“…( 3)-( 6) and the parametrization of the NN scattering amplitude of refs. [15,16]. The solid line and the diamonds correspond to q = 2.2 and 3.4 GeV/c, respectively.…”

mentioning

confidence: 99%

Interpretation ofyScaling of the Nuclear Response

Benhar

1999

Phys. Rev. Lett.

View full text Add to dashboard Cite

show abstract

“…The data are from Refs. [43] (proton-neutron) and [44] (proton-proton) and are determined from the small-angle t dependence of the measured differential cross sections.…”

Section: Glauber Parametersmentioning

confidence: 99%

Relativistic formulation of Glauber theory for A(e,e′p) reactions

et al. 2003

View full text Add to dashboard Cite

At sufficiently large proton energies, Glauber multiple-scattering theory offers good opportunities for describing the final state interactions in electro-induced proton emission off nuclear targets. A fully unfactorized relativistic formulation of Glauber multiple-scattering theory is presented. The effect of truncating the Glauber multiple-scattering series is discussed. Relativistic effects in the description of the final-state interactions are found not to exceed the few percent level. Also the frequently adopted approximation of replacing the wave functions for the individual scattering nucleons by some average density, is observed to have a minor impact on the results when obtained in the independent-particle model. Predictions for the separated 4 He(e, e p) response functions are given in quasi-elastic kinematics and a domain corresponding with 1 Q 2 2 (GeV) 2 .

show abstract

“…[84] for a review of the data. Neutron-proton scattering measures directly the strong-interaction cross section; in proton-proton scattering one also has to account for electromagnetic interactions (Coulomb scattering) [85,86]. For both channels (np, pp) the differential strong-interaction cross section for elastic scattering at forward angles can be parametrized as…”

Section: Appendix C: Elastic Scattering Amplitudementioning

confidence: 99%

Electron-deuteron deep-inelastic scattering with spectator nucleon tagging and final-state interactions at intermediate x

Strikman

Weiß

2018

Phys. Rev. C

View full text Add to dashboard Cite

We consider electron-deuteron deep-inelastic scattering (DIS) with detection of a proton in the nuclear fragmentation region ("spectator tagging") as a method for extracting the free neutron structure functions and studying their nuclear modifications. Such measurements could be performed at a future Electron-Ion Collider (EIC) with suitable forward detectors. The measured proton recoil momentum ( < ∼ 100 MeV in the deuteron rest frame) specifies the deuteron configuration during the high-energy process and permits a controlled theoretical treatment of nuclear effects. Nuclear and nucleonic structure are separated using methods of light-front quantum mechanics. The impulse approximation (IA) to the tagged DIS cross section contains the free neutron pole, which can be reached by on-shell extrapolation in the recoil momentum. Final-state interactions (FSI) distort the recoil momentum distribution away from the pole. In the intermediate-x region 0.1 < x < 0.5 FSI arise predominantly from interactions of the spectator proton with slow hadrons produced in the DIS process on the neutron (rest frame momenta < ∼ 1 GeV, target fragmentation region). We construct a schematic model describing this effect, using final-state hadron distributions measured in nucleon DIS experiments and low-energy hadron scattering amplitudes. We investigate the magnitude of FSI, their dependence on the recoil momentum (angular dependence, forward/backward regions), their analytic properties, and their effect on the on-shell extrapolation. We comment on the prospects for neutron structure extraction in tagged DIS with EIC. We discuss possible extensions of the FSI model to other kinematic regions (large/small x). In tagged DIS at x ≪ 0.1 FSI resulting from diffractive scattering on the nucleons become important and require separate treatment.deuteron using LF quantum mechanics, including the IA and FSI amplitudes. We use empirical hadron distributions, measured in ep/ed DIS, to describe the slow part of the hadronic final state produced on the nucleon in the deuteron. The interactions of the slow hadrons with the spectator are treated as on-shell scattering with an effective cross section. Off-shell effects can be absorbed into the effective cross section and the slow hadron distribution; they are physically indistinguishable from effects of the finite hadron formation time and can consistently be accounted for in this way. This model amounts to a minimal description of FSI based on the space-time evolution of the DIS process and empirical hadron distributions.In the present study we use the apparatus of LF quantum mechanics to describe the initial-state nuclear structure and final-state interactions in tagged DIS. High-energy processes such as DIS effectively probe a strongly interacting system at fixed LF time x + = x 0 + x 3 , along the direction defined by the reaction axis. In LF quantization one follows the time evolution of the system in x + and describes its structure by wave functions and densities at x + = const. [32][33][34][35][36]....

show abstract

Differential cross sections and analyzing powers for small angle neutron-proton elastic scattering between 378 and 1135 MeV

Cited by 35 publications

References 46 publications

Interpretation ofyScaling of the Nuclear Response

Interpretation ofyScaling of the Nuclear Response

Relativistic formulation of Glauber theory for A(e,e′p) reactions

Electron-deuteron deep-inelastic scattering with spectator nucleon tagging and final-state interactions at intermediate x

Contact Info

Product

Resources

About