The Lorentz Integral Transform and its Inversion

Barnea, Nir; Efros, V.D.; Leidemann, Winfried; Orlandini, Giuseppina

doi:10.1007/s00601-009-0081-0

Cited by 30 publications

(28 citation statements)

References 30 publications

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“…Thus, one can apply bound-state techniques for its solution. Here we use the effective interaction hyperspherical harmonics (EIHH) method [11,12].…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Search for three-nucleon force effects on the longitudinal response function ofHe4

et al. 2009

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A detailed study of the 4 He longitudinal response function RL(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 RL on the three-nucleon force model itself with differences up to 10%. Thus a Rosenbluth separation of the inclusive electron scattering cross section of 4 He at low momentum transfer would be of high value in view of a discrimination between different three-nucleon force models.

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“…Thus, one can apply bound-state techniques for its solution. Here we use the effective interaction hyperspherical harmonics (EIHH) method [11,12].…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Search for three-nucleon force effects on the longitudinal response function ofHe4

et al. 2009

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“…The HH expansion is truncated beyond a maximum value K max of the HH grand-angular momentum quantum number. The convergence of the HH expansion is improved by introducing a K max -dependent effective interaction (EIHHmethod) [20,21]. In order to evaluate L L we have calculated the norm Ψ algorithm [22].…”

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confidence: 99%

Role of the Final-State Interaction and Three-Body Force on the Longitudinal Response Function ofHe4

et al. 2009

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We present an ab-initio calculation of the longitudinal electron scattering response function off 4 He with two-and three-nucleon forces and compare to experimental data. The full four-body continuum dynamics is considered via the Lorentz integral transform method. The importance of the final state interaction is shown at various energies and momentum transfers q. The three-nucleon force reduces the quasi-elastic peak by 10% for q between 300 and 500 MeV/c. Its effect increases significantly at lower q, up to about 40% at q=100 MeV/c. At very low q, however, data are missing.PACS numbers: 25.30.Fj, 27.10.+h, 31.15.xj Inelastic electron scattering off nuclei provides important informations on nuclear dynamics. Varying the momentum q, transferred by the electron to the nucleus, one can focus on different dynamical regimes. At lower q the collective behavior of nucleons is studied. As q increases one probes properties of the single nucleon in the nuclear medium and its correlations to other nucleons from longto short-range. Thus the inclusive longitudinal R L and transverse R T response functions are of particular importance. Different from R T , in a non-relativistic framework R L does not require the knowledge of implicit degrees of freedom (exchange currents), providing a clean leptonic probe of the nuclear Hamiltonian. In addition, the theoretical study of inclusive processes is important to help planning further investigations, for selected kinematics, via exclusive scattering experiments.In the '80 and '90's an intense experimental activity has been devoted to inclusive electron scattering, (e, e ′ ), in the so called quasi-elastic (q.e.) regime, corresponding to q-values of several hundred MeV/c and energy transfers ω around the q.e. peak (ω ≃ q 2 /2m). Here one can envisage that the electron has scattered elastically with a single nucleon of mass m. Various nuclear targets have been considered, from very light to heavy ones [1]. At these q one enters a very challenging regime, where nuclear and subnuclear degrees of freedom interwine. A very alive debate has taken place about the interpretation of those data. The two most discussed topics have been: (i) short-range correlations, i.e. the dynamical properties of nucleons at short distances; (ii) in medium modifications of the nucleon form factor. To date the debate is still open. More experiments are planned at Jefferson Laboratory (E05.110 at Hall A) which will contribute to those issues and a theoretical effort is needed to help interpreting old and new experimental results.The reason for concentrating on the q.e. regime has been the conviction that for such a kinematics the plane wave impulse approximation (PWIA) might be a reliable framework to describe the reaction. The neglect of the final state interaction (FSI) has the advantage to allow a simple interpretation of the cross section in terms of the dynamical properties of the nucleons in the ground state. Thus it is important to clarify the reliability of the PWIA (as well as of further refinements...

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“…Thus, one can apply bound-state techniques for its solution. The results presented here use the effective interaction hyperspherical harmonics (EIHH) method [8,9].…”

Section: Formalismmentioning

confidence: 99%

Three-body Force Effects on the Longitudinal Response Function of⁴He

Bacca

Barnea

Leidemann

et al. 2010

EPJ Web of Conferences

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Abstract. In this contribution we summarize recent results on the longitudinal response function of 4 He. It is intended to give an important contribution to one of the most interesting and much discussed topics in nuclear physics at present, i.e. the nuclear many-body forces. The longitudinal response is considered as a possible observable, involving many body scattering states, sensitive to the three-nucleon force (3NF). Such a sensitivity is predicted by ab initio calculations performed using the Lorentz Integral transform (LIT) method. The kinematics that are more interesting to measure are discussed.

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The Lorentz Integral Transform and its Inversion

Cited by 30 publications

References 30 publications

Search for three-nucleon force effects on the longitudinal response function ofHe4

Search for three-nucleon force effects on the longitudinal response function ofHe4

Role of the Final-State Interaction and Three-Body Force on the Longitudinal Response Function ofHe4

Three-body Force Effects on the Longitudinal Response Function of⁴He

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The Lorentz Integral Transform and its Inversion

Cited by 30 publications

References 30 publications

Search for three-nucleon force effects on the longitudinal response function ofHe4

Search for three-nucleon force effects on the longitudinal response function ofHe4

Role of the Final-State Interaction and Three-Body Force on the Longitudinal Response Function ofHe4

Three-body Force Effects on the Longitudinal Response Function of4He

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Product

Resources

About

Three-body Force Effects on the Longitudinal Response Function of⁴He