Fundamental and dressed annular solitons in saturable nonlinearity with parity–time symmetric Bessel potential**Project supported by the National Natural Science Foundation of China (Grant No. 61308019), the Guangdong Provincial Natural Science Foundation, China (Grant Nos. 2015A030313650 and 2014A030310262), and the Guangdong Provincial Science and Technology Planning Program, China (Grant No. 2017A010102019).

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We theoretically study the existence and stability of optical solitons in saturable nonlinearity with a two-dimensional parity–time (PT) symmetric Bessel potential. Besides the fundamental solitons, a novel type of dressed soliton, whose intensity looks like a ring dressed on an intensity hump, are presented. It is found that both the fundamental solitons and dressed solitons can exist when the propagation constant is beyond a certain critical value. The propagation stability is investigated with a linear stability analysis corroborated by a beam propagation method. All the fundamental solitons are stable, while dressed solitons are unstable for low values of saturable parameter. As the value of saturable parameter increases, the dressed solitons tend to be stable at high powers.