Approximate analytic solutions of spin dependent coupled Altarelli–Parisi equations using method of successive iteration

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In order to obtain analytic solutions of the spin dependent coupled Altarelli–Parisi equations at leading order (LO) in the small x limit we have applied here the method of successive iterations. We have shown that barring the small x limit of the splitting functions at LO, this method does not require any other adhoc assumptions to obtain analytic solutions of the coupled AP equations. We have observed that, after successive iterations our solutions come closer to the exact numerical results.