Color plasma oscillation in strangelets(5)

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

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

2 1

2 iξ1ξ2κ1κ2ω+iη ωk1i ωk2i

2

2[(ωk1i+ωk2i)2R2+(κ1+κ2)(ωk1i+ωk2i)R]2

(k21 k22)2R

2[(ωk1i+ωk22i)2R+(κ1+κ2)(ωk1i+ωk2i)R]2

(k21 k22)2R

22mi

k2 (ωk1i ωk2i)R+,

1 k22 [2ωk1iR(κ1+ωk1iR)+miR][2ωk2iR(κ2+ωk2iR)+miR]

| k1,j1,κ1=±(j1+1/2),i,+|r|k2,j2=j1+1,κ2=±(j1+3/2),i, |2

= 2k1k2

[2ωκ,k1iR(1+ωk1iR)+miR][2ωk2iR( κ2+ωk2iR)+miR]

| k1,j1,κ1=±(j1+1/2),i,+|r|k2,j2=j1 1,κ2=±(j1 1/2),i, |2

= 2k1k2

[2ω,k1iR(κ1+ωk1iR)+miR][2ωk2iR( κ2+ωk2iR)+miR]

| k1,j1,κ1=±(j1+1/2),i,+|r|k2,j2=j1,κ2= (j1+1/2),i, |2

= 2k1k2Rω+(κk1 κ2)

1i+ωk2i 2(19)(20)(21)

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