Energy Resolution with the Lorentz integral transform

Abstract

A brief outline of the Lorentz Integral Transform (LIT) method is given. The method is well established and allows to treat reactions into the many-body continuum with bound-state like techniques. The energy resolution that can be achieved is studied by means of a simple two-body reaction. From the discussion it will become clear that the LIT method is an approach with a controlled resolution and that there is no principle problem to even resolve narrow resonances in the many-body continuum. As an example the isoscalar monopole resonance of 4He is considered. The importance of the choice of a proper basis for the expansion of the LIT states is pointed out. Employing such a basis a width of 180(70) keV is found for the 4He isoscalar monopole resonance when using a simple central nucleon-nucleon potential model.

8 pages, 6 figures, some additional explanations

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

Cited by in corpus (7)

• Spectral density reconstruction with Chebyshev polynomials
• On calculating response functions via their Lorentz integral transforms
• Integral transform methods: a critical review of various kernels
• Calculation of expectation values of operators in the Complex Scaling method
• Calculation of the astrophysical S-factor S_12 with the Lorentz integral transform
• Determination of S-factors with the LIT method
• Ab initio calculations for non-strange and strange few-baryon systems