Low-lying states of A = 6 hypernuclear doublets (He-6(Lambda) and Li-6
(Lambda)) and A = 7 triplets (He-7(Lambda), Li-7(Lambda), and Be-7(Lam
bda)) are studied with an accurate three-body model calculation in whi
ch all the rearrangement Jacobian coordinates are equally taken into a
ccount. Since most of the hypernuclear states concerned are weakly bou
nd states, focus is placed on the binding energies with respect to the
particle breakup thresholds and on the density distributions in the s
urface and exterior regions. With the alpha + Lambda + N model, the ob
served binding energies of the ground state of He-6(Lambda) and Li-6(L
ambda) are well reproduced. He-6(Lambda) is found to have a three-laye
r structure of the matter distribution: the alpha nuclear core, a Lamb
da skin, and a neutron halo. The A = 7 hypernuclei are shown to be wel
l described with the He-5(Lambda) + N + N model. Using a realistic NN
interaction, the correlation between the valence nucleons is fully tak
en into account; this is essentially important to make the proton-rich
three-body system Be-7(Lambda) = He-5(Lambda) + p + p bound although
none of the two-body subsystems is bound. The observed binding energie
s of Li-7(Lambda) and Be-7(Lambda) are well reproduced, and energies a
re predicted for He-7(Lambda) whose core nucleus is a neutron halo nuc
leus, He-6. We discuss the validity of the assumption of frozen deuter
ons adopted in the previous alpha + d + Lambda models for the T = 0 st
ates of Li-7(Lambda).