The nuclear modification factors ($$R_{AA}$$
R
AA
) of d and $$\bar{d}$$
d
¯
have been studied using the parton and hadron cascade model plus the dynamically constrained phase space coalescence model in peripheral (40–60%) and central (0–5%) Pb–Pb collisions at $$\sqrt{s_{NN}}=2.76\,\hbox {TeV}$$
s
NN
=
2.76
TeV
with $$|y|<0.5, p_T<20.0 \,\hbox {GeV}/\hbox {c}$$
|
y
|
<
0.5
,
p
T
<
20.0
GeV
/
c
. It is found that the $$R_{AA}$$
R
AA
of $$d, \bar{d}$$
d
,
d
¯
is similar to that of hadrons ($$\pi ^\pm , p, \bar{p}$$
π
±
,
p
,
p
¯
) and the $$R_{AA}$$
R
AA
of antiparticles is the same as that of particles. The suppression effect of d is more significant than that of baryons and mesons in the high-$$p_T$$
p
T
region. The suppression of $$R_{AA}$$
R
AA
at high-$$p_T$$
p
T
strongly depends on event centrality and mass of the particles, i.e., the central collision is more suppressed than the peripheral collision. Besides, the yield ratios and double ratios for different particle species, and the coalescence parameter $$B_2$$
B
2
for ($$d, \bar{d}$$
d
,
d
¯
) in pp and Pb–Pb collisions are discussed, respectively. It is observed that the yield ratios and double ratios of d to p and p to $$\pi $$
π
are similar to those of their anti-particles in three different collision systems, suggesting that the suppressions of matter ($$\pi ^{+}, p, d$$
π
+
,
p
,
d
) and the corresponding antimatter ($$\pi ^{-},\bar{p},\bar{d}$$
π
-
,
p
¯
,
d
¯
) are around the same level.