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

Wethus ndthatΠ00(Π00)arisesfromexcitationsofquarkparticle-holepairs,accompaniedbythechangeinthe

(¯qq)(vp)angularmomentumofthescatteredquark j≡j2 j1=±1( j=0);Π00(Π00)arisesfromexcitationsof

quark-antiquarkpairsviascatteringofthequarkinthe lledFermi(Dirac)sea,accompaniedby j=0,±1,onto

(so)(¯qq)(vp)thevacantDirac(Fermi)sea.ThequantitiesΠ00,Π00,andΠ00areassociatedwithe ectsofrelativity:the

spin-orbitinteractions, uctuationsoftheFermiseainvolvingquark-antiquarkpairs,andthesecond-ordervacuumpolarization,respectively.

III.DISPERSIONRELATION(0)(so)

Thedispersionrelationofthelongitudinalcolorplasmaoscillationhasbeenobtainedfromtheone-looppolarizationΠ00givenbyEqs.(13)and(16).Bynotingthecompleteanalogywiththecaseofametalnanoparticleinadielectricmedium[10],sucharelationcanbewrittenas

21+q2

colorplasmafrequencyofbulkquarkmatter[7,8].|ReΠ00|/q2(|ReΠ00+ReΠ00|/q2)issuppressedbyonepower

(0)1/kF,iR(αs)withrespectto|ReΠ00|/q2(unity),whereαs=g2/4πistheQCD nestructureconstant.Wethus

obtainthemodefrequencyω≈ωp.Itsagreementwiththebulkvaluestemsfromabsenceofthesurfacecolorchargedueto vac=0.Thevaluesofωpcalculatedasafunctionofηs=ms/µforαs=0.4havebeenexhibitedinFig.1.Wehavefoundthatωpdependsonmsonlyweakly.

IV.DAMPINGRATE(so)(¯qq)(vp) ig2ni/6µiisthe

WithintheframeworkoftheRPA,thedampingofthelongitudinalcoloroscillationmodeisdeterminedbyitsresonantenergytransferintoindividualexcitationsofparticle-holepairsofthequarkswhoseeigenenergiesaremadediscretebytheboundary.ThecorrespondingdampingratemaybederivedfromthepolarizationΠ00obtainedaboveas[8]

ΓRPA= 3ωp

π4µRq2 h(ν,ηi)

i

2 ln 1 64z(2z+ν)

222π2ν(8z3+16νz2+12ν2z+3ν3)z ηi+π 22.1+ln z2 ηiµR 1+32z(z+ν)

ν 1dzmax(1 ν,ηi) 2(z+ν)2 ηiz2 (26)