Case study: calculation of a narrow resonance with the LIT method

Abstract

The possibility to resolve narrow structures in reaction cross sections in calculations with the Lorentz integral transform (LIT) method is studied. To this end we consider a fictitious two-nucleon problem with a low-lying and narrow resonance in the ${}^3{P}_1$ nucleon-nucleon partial wave and calculate the corresponding ``deuteron photoabsorption cross section''. In the LIT method the use of continuum wave functions is avoided and one works instead with a localized function \tildeΨ. In this case study it is investigated how far into the asymptotic region \tildeΨhas to be determined in order to obtain a precise resolution of the artificially introduced E1 resonance. Comparing with the results of a conventional calculation with explicit neutron-proton continuum wave functions it is shown that the LIT approach leads to an excellent reproduction of the cross section in the resonance region and of further finer cross section details at higher energies. To this end, however, for \tildeΨone has to take into account two-nucleon distances up to at least 30 fm.

18 pages, 11 figures

References in corpus (9)

• 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
• Ab initio calculation of Li7 photodisintegration
• Improved (e,e') response functions at intermediate momentum transfers: the 3He case
• Low-Energy Inelastic Neutrino Reactions on 4He
• Inclusive electron scattering off 4He
• Test of J-matrix inverse scattering potentials on electromagnetic reactions of few-nucleon systems
• The Transverse Electron Scattering Response Function of 3He

Cited by in corpus (10)

• The isoscalar monopole resonance of the alpha particle: a prism to nuclear Hamiltonians
• Role of final state interaction and of three-body force on the longitudinal response function of 4He
• Calculating few-body resonances using an oscillator trap
• Energy Resolution with the Lorentz integral transform
• On calculating response functions via their Lorentz integral transforms
• Calculation of the astrophysical S-factor S_12 with the Lorentz integral transform
• How to increase the applicability of integral transform approaches in physics?
• A small parameter approach for few-body problems
• Ab initio calculations for non-strange and strange few-baryon systems
• Neutrino Induced 4He Break-up Reaction -- Application of the Maximum Entropy Method in Calculating Nuclear Strength Function