Search for three-nucleon force effects on the longitudinal response function of 4He

Abstract

A detailed study of the 4He longitudinal response function R_L(ω,q) is performed at different kinematics, with particular emphasis on the role of three-nucleon forces. The effects shown are the results of an ab initio calculation where the full four-body continuum dynamics is considered via the Lorentz integral transform method. The contributions of the various multipoles to the longitudinal response function are analyzed and integral properties of the response are discussed in addition. The Argonne V18 nucleon-nucleon interaction and two different three-nucleon force models (Urbana IX, Tucson-Melbourne') are used. At lower momentum transfer (q<= 200$ MeV/c) three-nucleon forces play an important role. One even finds a dependence of R_L on the three-nucleon force model itself with differences up to 10%. Thus a Rosenbluth separation of the inclusive electron scattering cross section of 4He at low momentum transfer would be of high value in view of a discrimination between different three-nucleon force models.

11 pages, 8 figures

References in corpus (13)

• The two-nucleon system at next-to-next-to-next-to-leading order
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Inclusive quasi-elastic electron-nucleus scattering
• The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
• alpha-particle photoabsorption with a realistic nuclear force
• New inversion methods for the Lorentz Integral Transform
• Role of final state interaction and of three-body force on the longitudinal response function of 4He
• Improved (e,e') response functions at intermediate momentum transfers: the 3He case
• Inclusive electron scattering off 4He
• Photonuclear sum rules and the tetrahedral configuration of ${}^4$He
• Low-momentum interactions in three- and four-nucleon scattering
• Incorporation of three-nucleon force in the effective interaction hyperspherical harmonic approach

Cited by in corpus (12)

• Charge form factor and sum rules of electromagnetic response functions in Carbon-12
• Modern Ab Initio Approaches and Applications in Few-Nucleon Physics with A \ge 4
• Variational calculation of the ground state of closed-shell nuclei up to $A=40$
• The isoscalar monopole resonance of the alpha particle: a prism to nuclear Hamiltonians
• Relativistic effects in ab-initio electron-nucleus scattering
• Coulomb sum rule for ${}^4$He and ${}^{16}$O from coupled-cluster theory
• Transverse electron scattering response function of ${}^3$He with $\Delta$-isobar degrees of freedom
• Electromagnetic Observables in Few-Nucleon Systems
• Electromagnetic reactions from coupled-cluster theory
• Self-consistent continuum random phase approximation calculations of ${}^4$He electromagnetic responses
• Electromagnetic Reactions and Few-Nucleon Dynamics
• Few-Nucleon Systems: Notes about the Status and Results of Investigations