  Concerning the non-strange particle systems the low-energy excitation spectra
of the three- and four-body helium isotopes are studied. Objects of the study
are the astrophysical $S$-factor $S_{12}$ of the radiative proton deuteron
capture $d(p,\gamma)^3$He and the width of the $^4$He isoscalar monopole
resonance.Both observables are calculated using the Lorentz integral transform
(LIT) method. The LIT equations are solved via expansions of the LIT states on
a specifically modified hyperspherical harmonics (HH) basis. It is illustrated
that at low energies such a modification allows to work with much higher LIT
resolutions than with an unmodified HH basis. It is discussed that this opens
up the possibility to determine astrophysical $S$-factors as well as the width
of low-lying resonances with the LIT method. In the sector of strange baryon
systems binding energies of the hypernucleus $^3_\Lambda$H are calculated using
a nonsymmetrized HH basis. The results are compared with those calculated by
various other groups with different methods. For all the considered non-strange
and strange baryon systems it is shown that high-precision results are
obtained.
