New inversion methods for the Lorentz Integral Transform

Andreasi, D.; Leidemann, Winfried; Reiss, Cora; Schwamb, M.

doi:10.1140/epja/i2005-10009-3

Cited by 61 publications

(61 citation statements)

References 12 publications

(61 reference statements)

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“…For the inversion of the LIT various methods have been devised [13,14]. In particular the issue of the inversion of the LIT is discussed extensively in Ref.…”

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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“…For the inversion of the LIT various methods have been devised [13,14]. In particular the issue of the inversion of the LIT is discussed extensively in Ref.…”

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 three-nucleon ground states and the various LITs are calculated using expansions in correlated hyperspherical harmonics [4]. given basis functions, where also the threshold behavior is incorporated (see [4,18,19]). …”

Section: Resultsmentioning

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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“…(5) using the method outlined in Refs. [7,8], which looks for the regularized solution of the integral transform equation. Below we highlight some of our recent calculations obtained for photoabsorption and electron scattering reactions using as only ingredient an Hamiltonian H that contains, besides kinetic energy, a two-nucleon force derived in chiral effective field theory at next-to-next-to-next-to-next-to-leading (N 3 LO) order [9].…”

Section: Theoretical Formulationmentioning

confidence: 99%