AbstractWe investigate the existence of bound $$\varXi $$
Ξ
states in systems with $$A=4-7$$
A
=
4
-
7
baryons using the Jacobi NCSM approach in combination with chiral NN and $$\varXi $$
Ξ
N interactions. We find three shallow bound states for the NNN$$\varXi $$
Ξ
system (with $$(J^\pi ,T)=(1^+,0)$$
(
J
π
,
T
)
=
(
1
+
,
0
)
, $$(0^+,1)$$
(
0
+
,
1
)
and $$(1^+,1)$$
(
1
+
,
1
)
) with quite similar binding energies. The $$^5_{\varXi }\mathrm {H}(\frac{1}{2}^+,\frac{1}{2})$$
Ξ
5
H
(
1
2
+
,
1
2
)
and $$^7_{\varXi }\mathrm {H}(\frac{1}{2}^+,\frac{3}{2})$$
Ξ
7
H
(
1
2
+
,
3
2
)
hypernuclei are also clearly bound with respect to the thresholds $$^4\mathrm {He} + \varXi $$
4
He
+
Ξ
and $$^6\mathrm {He} +\varXi $$
6
He
+
Ξ
, respectively. The binding of all these $$\varXi $$
Ξ
systems is predominantly due to the attraction of the chiral $$\varXi $$
Ξ
N potential in the $$^{33}S_1$$
33
S
1
channel. A perturbative estimation suggests that the decay widths of all the observed states could be rather small.