Combining the recent lattice calculation of $a_0(1450)$ and $\sigma(600)$ mesons with the overlap fermion in the chiral regime with the pion mass less than $300 {\rm MeV}$, the quenched lattice calculation of the scalar glueball, and the phenomenological s
PatternofLightScalarMesons5
model15)whichillustrateshowthescatteringstatemixeswiththeboundstateandgivesrisetothephaseshiftasthevolumeisincreased.Inasense,byvaryingthelatticevolume,hencethemomentum,onecanuseascatteringstatetomixwiththeboundstateandscantheenergyrangetoobtainthephaseshiftandthereforethewidthoftheresonance.Theinformationofthewidthcanalsobeobtainedbydetermininghowfarapartinenergythescatteringandboundstatestarttoavoidthelevelcrossing.
Tocalculatea0onthesamelattices,thetwo-quarkinterpolation eld
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