Both the no-core shell model and the effective interaction hyperspherical harmonic approaches are applied to the calculation of different response functions to external electromagnetic probes, using the Lorentz integral transform method. The test is performed on the four-body nuclear system, within a simple potential model. The quality of the agreement in the various cases is discussed, together with the perspectives for rigorous ab initio calculations of cross sections of heavier nuclei.
Bibliographical noteFunding Information:
I.S., S.Q., and B.R.B. acknowledge partial support by NSF grants PHY0070858 and PHY0244389. The work was performed in part under the auspices of the US Department of Energy by the University of California, Lawrence Livermore National Laboratory under contract No. W-7405-Eng-48. P.N. received support from LDRD contract 04-ERD-058. W.L. and G.O. acknowledge support by the grant COFIN03 of the Italian Ministry of University and Research. The work of N.B. was supported by the ISRAEL SCIENCE FOUNDATION (Grant No. 361/05). C.W.J. acknowledges USDOE grant No. DE-FG02-03ER41272. We thank the Institute for Nuclear Theory at the University of Washington for its hospitality and the Department of Energy for partial support during the development of this work.