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This work investigates whether the observed 1^-+ exotic mesons are molecularstates. We first use a potential model to calculate the spectra and lifetimesof the f_0(980) and a_0(980), taken to be loosely bound molecular states of KKbar, then apply the same scenario to the 1^-+ exotic states pi_1(1400) andpi_1(1600), assuming them to be pi eta(1295) and pi eta(1440) moleculesrespectively. We derive the effective potential in the framework of fieldtheory at the hadronic level. Our results indicate that the present data onpi_1(1400) and pi_1(1600) rule out the specific molecular ansatz. We show thatthe lifetime of a loosely bound heavy-light molecule with enough angularmomentum is fully determined by the lifetimes of its constituent mesons.Comment: 23 pages, 1 figure, LaTe

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Molecular states and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>−</mml:mi><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>exotic mesons

Molecular states and1−+exotic mesons