The dispersion relation and damping rate of longitudinal color plasmons in finite strange quark matter (strangelets) are evaluated in the limits of weak coupling, low temperature, and long wavelength. The property of the QCD vacuum surrounding a strangelet

fkκi(r)=(±)k

j m+1Yj+1/2( )√

m 1/2m 1/2j+mYj 1/2( )

and

with√√|j3/2[±2ωkiR(κ±ωkiR)+miR] 1/2,κ=j+1/2,κ(kR)|R0,κ= (j+1/2),B(±)kκi= 0,κ=j+1/2, kRE+mjforκ=±il=j 1/2(kR) j+121i)θ(ωk2iiξ1ξ µi2κ1κ2 ωk µi)× 2 1 θ(ω+iη ωk M(qq)iξ1ξ2κ1κ2(q)+θ(µi1i+ωk2i× 1ω+iη ω1i ωk2i ωk1i)M(¯qq)iξ1ξ2κ1κ2(q) ,k

M(qq)1

iξ1ξ2κ1κ2=

4V| k1,j1,κ1,i,+|r|k2,j2,κ2,i,+ |2 (j1 m1+1)(j1+m1+1)

j2δj1 1,j2δm1,m2θ(κ1κ2)

1

+m21(10)(13)