Deuteron Form Factors Research Articles

Deuteron Form Factor and the Short-Distance Behavior of the Nuclear Force

The large-${q}^{2}$ falloff of the elastic deuteron form factor is used to relate meson exchange to underlying quark currents, to relate the deuteron form factor to large-angle $n\ensuremath{-}p$ scattering, to demonstrate scale-invariant behavior of the nucleon-nucleon potential, and to determine the deuteron wave function at small $n\ensuremath{-}p$ separation.

Can we see a six quark component of the deuteron in inclusive pion production?

We present evidence that in deuteron-nucleus scattering, the production of pions with momenta greater than the average momentum per nucleon in the projectile can be explained by the assumption of a six quark component at short distances in the deuteron. The size of this component is shown to agree with data on the large momentum transfer deuteron form factor.

Elastic Electron-Deuteron Scattering at High Momentum Transfer

We show that a careful conventional treatment of exchange currents in the calculation of the deuteron form factor [$0<~{q}^{2}<~8$ ${(\mathrm{G}\mathrm{e}\mathrm{V}/\mathit{c})}^{2}$] is not in contradiction with experiment. It rather shows an overall good agreement. We propose measurements of the deuteron form factor at momentum transfer much higher than ${q}^{2}\ensuremath{\cong}100$ ${\mathrm{fm}}^{\ensuremath{-}2}$ in order to obtain valuable information on the neutron form factor.

Super-soft-core nucleon-nucleon interaction with π-, ρ- and gw-exchange contributions

An improved version of the super-soft-core interaction is presented. The known π-, ρ- and gw-exchange contributions are incorporated, while the core and the remainder of the intermediate range are treated phenomenologically. The potential gives a high-quality fit to the two-body bound-state and scattering data up to 350 MeV. The amplitudes are weak in the sense that in nuclear matter, the ratio of second-order to first-order energy perturbations (for the scalar components) are in the region 20–30%. The wound integral κ = 0.077 at k F = 1.4 fm −1. The triplet-even tensor component is weaker than in other phenomenological potentials, but the deuteron form factor is well reproduced. The percentage D-state is 5.92%.

An attractive potential with forbidden states for the N-N interaction

A potential model with forbidden states for describing the nucleon-nucleon interaction in the inner region is suggested. Forbidden states in the N-N system may occur due to the composite structure of nucleons as a consequence of the Pauli exclusion principle. A consistent description of singlet even phase shifts at energies up to 400 MeV has been obtained. The generalization of Levinson's theorem taking forbidden states into account permits a new interesting interpretation of the phase shift data at higher energies and as a result gives a “smooth matching” of the low-energy phase shifts with those of the asymptotic regionE ≳ 10 MeV. The loop which the wave function has in the inner region provides a considerable contribution to the deuteron form factors at large momentum transfers. This leads to a better agreement of the electron-deuteron inelastic backward scattering cross sections with experiment. A comparison is made with the repulsive core model. Possible consequences for the three- and many-nucleon systems are discussed.

Attractive potential with forbidden states for theN−Ninteraction

A potential model with forbidden states for describing the nucleon-nucleon interaction in the inner region is suggested. Forbidden states in the $N\ensuremath{-}N$ system may occur due to the composite structure of nucleons as a consequence of the Pauli exclusion principle. A consistent description of singlet even phase shifts at energies up to 400 MeV has been obtained. The generalization of Levinson's theorem taking forbidden states into account permits a new interesting interpretation of the phase-shift analysis data at higher energies and as a result gives a "smooth matching" of the low-energy phase shifts with the asymptotic region $E\ensuremath{\gtrsim}10$ GeV. The loop which the wave function has in the inner region provides a considerable contribution to the deuteron form factor at great momentum transfers. A comparison is made with the repulsive core model. Possible consequences for the three- and many-nucleon systems are discussed.NUCLEAR REACTIONS $N$ $(N, N)N$, potential model with forbidden states, $^{1}S_{0}$ phase shift to 400 MeV.

Relativistic effects on the tensor polarization in electron-deuteron scattering

The tensor analysing power P e in electron deuteron scattering is calculated including relativistic corrections to the deuteron form factor as determined by Friar and Gross. These effects are found to be quite comparable to the differences between various potentials, and should therefore not be ignored.

Triton binding energies with two-body radial-distortion unitary transforms

We determine the triton binding energies for a class of potentials that arise from radial-distortion unitary transformations. These potentials are phase-shift equivalent to a two-term Yukawa potential, which represents an average of the $^{3}S_{1}$ and $^{1}S_{0}$ nucleon-nucleon potentials. We solve an angular-momentum-decomposed version of the Faddeev-Lovelace equations that we have developed, in order to obtain the three-body binding energy ${E}_{T}$. We observe that ${E}_{T}$ varies slightly with these potentials and we find that they yield similar deuteron wave functions in accord with the results reported by Haftel. We discuss some evidence on the sensitivity of nuclear matter and three-body calculations to off-shell variations of the two-body $t$ matrices.[NUCLEAR STRUCTURE $^{3}\mathrm{H}$; calculated binding energy. Solved Faddeev-Love-lace equations, angular-momentum decomposed. Deduced deuteron form factors.]

Contributions to the electromagnetic form factors of the deuteron from isobar configurations

A nonrelativistic calculation of the elastic electron deuteron scattering has been performed in which the effects arising from nucleon polarization have been systematically investigated. These effects have been taken into account by admixing isobar configurations into the deuteron wave function. Explicit expressions for the various contributions to the respective deuteron form factors have been given. At higher momentum transfers inclusion of the isobar configurations leads to a substantial increase in the form factors which qualitatively appears to account for at least some of the discrepancies between theory and experiment.

On the Production of s-Wave Pions in Threshold p + p → π + d

Using a number of nonlocal, two-term, separable, nucleon–nucleon interactions and their phase-equivalent transforms, it is shown that the production of s-wave pions near the threshold in the reaction p + p → π+ + d is sensitive, not only to the D-state probability of the deuteron and the nonlocality of the interaction, but also to the off-shell behavior of the interaction. The reaction, therefore, cannot serve, in the context of simple two-term separable potentials, as an effective criterion to constrain the value of the D-state probability of the deuteron to better than the present range of 3–8%. Results are presented also for Reid soft-core local interaction where we find that the off-shell effects are constrained by the deuteron form factor.

Construction d'un potentiel nucléon-nucléon à cȩur très mou (ssc)

A phenomenologieal local nucleon-nucleon potential has been constructed satisfying the following criteria: a high-quality fit to two-body bound-state and scattering data up to 350 MeV; the amplitudes of all components are weak in the sense that perturbation theory in nuclear matter converges rapidly; the tensor force in the triplet even state is much weaker than in other potential models. Close agreement is found between Brueckner-theory and perturbation-theory calculations in nuclear matter. The deuteron form factor is well reproduced with P D = 5.5%.

On the relationship between the deuteron form factors and the physical S matrix. III

The present paper has been devoted primarily to kinematics. In the next paper the results we have obtained will be used for a realistic calculation of the form factors of the bound state of the n-p system-the deuteron.

On the relationship between the deuteron form factors and the physical S matrix. II

On the relationship between the deuteron form factors and the physical S matrix. II

On the relationship between the deuteron form factors and the physical S matrix. I

On the relationship between the deuteron form factors and the physical S matrix. I

Effect of baryon resonance admixtures on elastic electron deuteron scattering

The deuteron form factors for elastic e-d scattering have been calculated with the inclusion of baryon resonance admixtures in the deuteron wave function in the range 0.1 ⩽ q 2 50 fm −2 of the squared four momentum transfer. The inclusion of the resonance configurations leads to an increase of about 10% in the charge and of about 20–30% in the enhancement dipole form factor for 10 ⩽ q 2 ⩽ 20 fm −2. This enhancement stems mainly from the Δ(1236) − Δ(1236) configuration. These findings seem to be consistent with recent experimental results.

Deuteron Electromagnetic Form Factor

A vector-mesonic correction to the deuteron form factors is considered which is analogous to the Glauber double-scattering process. This correction dominates the form factors at large momentum transfer. A fit to the static magnetic moment of the deuteron yields a satisfactory fit to the magnetic scattering at large momentum transfer.

Role of the Repulsive Core in theS13Potential and the Electromagnetic Form Factors of the Deuteron

Role of the Repulsive Core in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow /><mml:mrow /><mml:mrow /><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>Potential and the Electromagnetic Form Factors of the Deuteron

Threshold Electrodisintegration of the Deuteron

The electrodisintegration of the deuteron near threshold has been investigated by inelastic electron scattering at momentum transfers $q=0.35$ ${\mathrm{F}}^{\ensuremath{-}1}$ and $q=0.66$ ${\mathrm{F}}^{\ensuremath{-}1}$ and scattering angles $\ensuremath{\theta}=125\ifmmode^\circ\else\textdegree\fi{}, 140\ifmmode^\circ\else\textdegree\fi{}, \mathrm{and} 155\ifmmode^\circ\else\textdegree\fi{}$. The longitudinal and transverse matrix elements to the final $^{1}S_{0}$ and $^{3}S_{1}$ states have been compared with the Jankus-Durand theory using repulsive-core wave functions. The repulsive-core parameter, corresponding to a radius of about 0.2 F, has been adjusted to fit the elastic deuteron form factors up to $q=6$ ${\mathrm{F}}^{\ensuremath{-}1}$. The computed inelastic cross sections give a statisfactory description of the existing data in the whole momentum-transfer range experimentally investigated: ($0.35 {\mathrm{F}}^{\ensuremath{-}1}\ensuremath{\le}q\ensuremath{\le}3{\mathrm{F}}^{\ensuremath{-}1}$).

The connection of the deuteron form factor with the physical s-matrix

Using a method developed in ref. [1] the electrical form factor of the deuteron is expressed in terms of the phase shift of the neutron-proton scattering taken in the physical region only. The anomalous cut contribution is calculated exactly. The contributions of the other singularities are neglected. No arbitrary subtraction constants enter the final result.

Analysis of single π− and π+ photoproduction on deuterium at high energies and low momentum transfers

Using impulse approximation and accounting for the complete spin-isospin structure of the deuteron, it is shown that the photoproduction of single charged pions on the deuteron is suppressed by a factor of about 1− 1 3 S(q) ( S, q denote the deuteron form factor and the momentum transfer to the pion) with respect to the photoproduction on the free nucleon. For π + photoproduction the Glauber correction is estimated to be less than 12%.