The Transverse Electron Scattering Response Function of 3He

Abstract

The transverse response function R_T(q,omega) for 3He is calculated using the configuration space BonnA nucleon-nucleon potential, the Tucson-Melbourne three-body force, and the Coulomb potential. Final states are completely taken into account via the Lorentz integral transform technique. Non-relativistic one-body currents plus two-body pi- and rho-meson exchange currents as well as the Siegert operator are included. The response R_T is calculated for q=174, 250, 400, and 500 MeV/c and in the threshold region at q=174, 324, and 487 MeV/c. Strong MEC effects are found in low- and high-energy tails, but due to MEC there are also moderate enhancements of the quasi-elastic peak (6%-10%). The calculation is performed both directly and via transformation of electric multipoles to a form that involves the charge operator. The contribution of the latter operator is suppressed in and below the quasielastic peak while at higher energies the charge operator represents almost the whole MEC contribution at the lowest q value. The effect of the Coulomb force in the final state interaction is investigated for the threshold region at q=174 MeV/c. Its neglect enhances R_T by more than 10% in the range up to 2 MeV above threshold. In comparison to experimental data one finds relatively good agreement at q=250 and 400 MeV/c, while at q=500 MeV/c, presumably due to relativistic effects, the theoretical quasi-elastic peak position is shifted to somewhat higher energies. The strong MEC contributions in the threshold region are nicely confirmed by data at q=324 and 487 MeV/c.

21 pages, 4 figures

References in corpus (15)

• An accurate nucleon-nucleon potential with charge-independence breaking
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Response Functions from Integral Transforms with a Lorentz Kernel
• The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
• Electromagnetic structure of A=2 and 3 nuclei and the nuclear current operator
• Longitudinal and Transverse Quasi-Elastic Response Functions of Light Nuclei
• Electron and Photon Scattering on Three-Nucleon Bound States
• New inversion methods for the Lorentz Integral Transform
• Trinucleon photonuclear reactions with $\Delta$-isobar excitation: Processes below pion-production threshold
• Longitudinal response functions of 3H and 3He
• Three-body electrodisintegration of the three-nucleon bound state with $\Delta$-isobar excitation: Processes below pion-production threshold
• Improved (e,e') response functions at intermediate momentum transfers: the 3He case
• Inclusive electron scattering off 4He
• Construction of Consistent Meson Exchange Currents by Laplace Transform

Cited by in corpus (8)

• Role of final state interaction and of three-body force on the longitudinal response function of 4He
• The Lorentz Integral Transform and its Inversion
• Improved transverse (e,e') response function of 3He at intermediate momentum transfers
• Case study: calculation of a narrow resonance with the LIT method
• Transverse electron scattering response function of ${}^3$He with $\Delta$-isobar degrees of freedom
• Threshold 3He and 3H Transverse Electron Scattering Response Functions
• The Lorentz integral transform (LIT) method
• Some relativistic aspects of nuclear dynamics at the electrodisintegration of nuclei