Consistent treatment of relativistic effects in electrodisintegration of the deuteron

Ritz, Frank; Goeller, H.; Wilbois, T.; Arenhoevel, H.

doi:10.1103/physrevc.55.2214

Cited by 50 publications

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“…This is possibly achieved by taking into account boost corrections. This could be done in a way similar to that used in deuteron electrodisintegration [13,14]. In right-hand panels results with relativistic one-body current + MEC without (dash-dotted) and with (solid) use of two-fragment model.…”

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confidence: 99%

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Frame dependence ofHe3transverse(e,e′
Efros
¹
,
Leidemann
²
,
Orlandini
³

et al. 2011
Phys. Rev. C
9
2
16
0
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The transverse electron scattering response function of 3 He was recently studied by us in the quasi-elastic peak region for momentum transfers q between 500 and 700 MeV/c. Those results, obtained using the Active Nucleon Breit frame (ANB), are here supplemented by calculations in the laboratory, Breit and ANB frames using the two-fragment model discussed in our earlier work on the frame dependence of the the longitudinal response function R L (q, ω). We find relatively frame independent results and good agreement with experiment especially for the lower momentum transfers. This agreement occurs when we neglect an ω-dependent piece of the one-body current relativistic correction. An inclusion of this term leads however to a rather pronounced frame dependence at q = 700 MeV/c. A discussion of this term is given here. This report also includes a correction to our previous ANB results for R T (q, ω).PACS numbers: 25.30.Fj, 21.30 showed that the ANB frame appeared to diminish the effects of using non-relativistic nuclear dynamics. In addition, a two-fragment model was introduced which was found to significantly reduce frame dependence. In that model one assumes a quasi-elastic knock-out of a nucleon such that the residual nucleus remains in its lowest energy state. The relative momentum of the two fragments is determined in a relativistically correct way and the energy that is used as input to the non-relativistic calculation is obtained from that momentum by the usual non-relativistic relation. Considering for example the lab system, the quasielastically knocked out nucleon has momentum q, thus a difference between non-relativistic and relativistic kinetic energies ofTaking for example q = 700 MeV/c one has ∆T 1b = 29 MeV. This relativistic effect is automatically taken into account in the two-fragment model. It is important to state that this model only fixes a kinematical input while the full three-nucleon dynamics is still treated completely via the LIT technique. Thus a comparison of calculations done in the ANB frame with those done in any other frame (including the ANB frame) but with the two-fragment model provides some indication of uncertainties due to non-covariance.In dealing with the transverse response function of 3 He near the quasi-elastic peak where the energy-momentum of the virtual photon is absorbed predominantly by the single ejected nucleon one can again adopt the two-fragment model. Compared to the longitudinal response function there is however a slight difference in applying the two-fragment model to the transverse response. For the former we did not include a two-body charge operator, while for the latter we do consider, as mentioned above, an MEC. It is not evident that such a two-body current should be taken into account in the two-fragment model, since it violates the assumption of a quasi-elastic knock-out. Instead one may assume the following scenario (lab-system): initially two nucleons have opposite and equal momenta p and −p while the 2 third nucleon is at rest. If the photo...

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mentioning

confidence: 99%

“…This is possibly achieved by taking into account boost corrections. This could be done in a way similar to that used in deuteron electrodisintegration [13,14]. …”

mentioning

confidence: 99%

Frame dependence ofHe3transverse(e,e′
Efros
¹
,
Leidemann
²
,
Orlandini
³

et al. 2011
Phys. Rev. C
9
2
16
0
View full text Add to dashboard Cite

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“…The figure shows that inclusion of the D state is essential to obtain a fair description of the data for the higher missing momenta. The other curves are predictions of the model of Arenhövel et al [6,22] for the Bonn NN potential [7] and with different descriptions for the spin-dependent reaction mechanism. We have investigated the dependence of the predictions on the NN potential for the Bonn [7], Nijmegen [8], Paris [9], and Argonne …”

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confidence: 99%

“…It is therefore possible to calculate A V ed with high precision. However, the naive PWIA results must be modified to include the contributions from the neutron (plane-wave Born approximation or PWBA) and to account for spin-dependent reaction mechanism effects such as final-state interactions (FSI), meson-exchange currents (MEC), and isobar configurations (IC), while relativistic corrections (RC) need to be applied [6]. In this Letter, we report on the first measurement of A V ed in the 2 H͑e, e 0 p͒n reaction.…”

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confidence: 99%

Spin-Momentum Correlations in Quasielastic Electron Scattering from Deuterium

Passchier¹,

Buuren²,

Szczerba³

et al. 2002

Phys. Rev. Lett.

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The spin-momentum correlation parameter A V ed was measured for the 2 H͑e, e 0 p͒n reaction for missing momenta up to 350 MeV͞c at Q 2 0.21 ͑GeV͞c͒ 2 for quasielastic scattering of polarized electrons from vector-polarized deuterium. The data give detailed information about the deuteron spin structure and are in good agreement with the results of microscopic calculations based on realistic nucleon-nucleon potentials and including various spin-dependent reaction mechanism effects. The experiment reveals in a most direct manner the effects of the D state in the deuteron ground-state wave function and shows the importance of isobar configurations for this reaction. DOI: 10.1103/PhysRevLett.88.102302 PACS numbers: 25.30.Fj, 21.45. +v, 24.70. +s, 27.10. +h The deuteron serves as a benchmark for testing nuclear theory. Observables such as its binding energy, static magnetic dipole and charge quadrupole moment, asymptotic D͞S ratio, and the elastic electromagnetic form factors place strong constraints on any realistic nuclear model. Its simple structure allows reliable calculations to be performed in both nonrelativistic and relativistic frameworks [1 -6]. Such calculations are based upon state-of-the-art nucleon-nucleon (NN) potentials [7][8][9][10], and the resulting ground-state wave function is dominated by the S state, especially at low relative proton-neutron momentum p in the center of mass system. Because of the tensor part of the NN interaction a D-state component is generated (see, e.g., [5,11]). The models predict that the S-and D-state components strongly depend on p and are sensitive to the repulsive core of the NN interaction at short distances [5].Traditionally, the spin structure of the deuteron has been studied through measurements of the tensor analyzing power T 20 [12][13][14][15][16][17][18] in elastic electron-deuteron scattering. Complementary information can be obtained by electrodisintegration studies in the region of quasielastic scattering. In the 2 H͑e, e 0 p͒n reaction, energy n and three-momentum q are transferred to the nucleus and the nuclear response can be mapped as a function of missing momentum p m and missing energy. Here, p m ϵ q 2 p f and p f represents the momentum of the ejected proton. In the planewave impulse approximation (PWIA) the neutron is a spectator only during the scattering process, and p m is equal to the initial proton momentum in the deuteron, while the missing energy equals the binding energy. In this way the ͑e, e 0 p͒ reaction has been employed to probe the proton inside the deuteron for momenta up to 1.0 GeV͞c [19][20][21].To enhance the sensitivity to the spin structure of the deuteron, spin dependent observables in quasielastic scattering can be used [5,22,23]. The polarization of a proton P p z inside a deuteron with a vector polarization P d 1 , is given by [24]where P S and P D , respectively, represent the S-and D-state probability densities of the ground-state wave function. Note that the polarization of a nucleon in the D state is opposite to that of...

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“…it includes the spin and convection current terms which are of order M −1 plus all the terms of order M −3 . We have calculated this operator from the expression for the corresponding single-particle matrix element of the form p f |J|p i given in [16].…”

Section: One-body and Two-body Currentsmentioning

confidence: 99%

Threshold 3He and 3H Transverse Electron Scattering Response Functions

et al. 2009

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The threshold transverse response functions R T (q, ω) for 3 He and 3 H are calculated using the AV18 nucleon-nucleon potential, the UrbanaIX three-body force, and the Coulomb potential. Final states are completely taken into account via the Lorentz integral transform technique. Consistent two-body π-and ρ-meson exchange currents as deduced using the Arenhövel-Schwamb technique are included. The convergence of the method is shown and a comparison of the corresponding MEC contribution is made to that of a consistent MEC for the meson theoretical r-space BonnA potential. The response R T is calculated in the threshold region at q=174, 324, and 487 MeV/c and compared with available data. The strong MEC contributions in the threshold region are nicely confirmed by the data at q=324 and 487 MeV/c although some differences between theoretical and experimental results remain. A comparison is also made with other calculations, where the same theoretical input is used. The agreement is generally rather good, but leaves also some space for further improvement.

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Consistent treatment of relativistic effects in electrodisintegration of the deuteron

Cited by 50 publications

References 50 publications

Frame dependence ofHe3transverse(e,e′
Efros
¹
,
Leidemann
²
,
Orlandini
³

et al. 2011
Phys. Rev. C
9
2
16
0
View full text Add to dashboard Cite

Frame dependence ofHe3transverse(e,e′
Efros
¹
,
Leidemann
²
,
Orlandini
³

et al. 2011
Phys. Rev. C
9
2
16
0
View full text Add to dashboard Cite

Spin-Momentum Correlations in Quasielastic Electron Scattering from Deuterium

Threshold 3He and 3H Transverse Electron Scattering Response Functions

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Consistent treatment of relativistic effects in electrodisintegration of the deuteron

Cited by 50 publications

References 50 publications

Frame dependence ofHe3transverse(e,e′Efros1, Leidemann2, Orlandini3 et al. 2011Phys. Rev. C92160View full textAdd to dashboardCite

Frame dependence ofHe3transverse(e,e′Efros1, Leidemann2, Orlandini3 et al. 2011Phys. Rev. C92160View full textAdd to dashboardCite

Spin-Momentum Correlations in Quasielastic Electron Scattering from Deuterium

Threshold 3He and 3H Transverse Electron Scattering Response Functions

Contact Info

Product

Resources

About

Frame dependence ofHe3transverse(e,e′
Efros
¹
,
Leidemann
²
,
Orlandini
³

et al. 2011
Phys. Rev. C
9
2
16
0
View full text Add to dashboard Cite

Frame dependence ofHe3transverse(e,e′
Efros
¹
,
Leidemann
²
,
Orlandini
³

et al. 2011
Phys. Rev. C
9
2
16
0
View full text Add to dashboard Cite