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Register a new userCoupled-channel approach in hadron-hadron scattering
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J.A. Oller
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Coupled-channel dynamics for scattering and production processes in partial-wave amplitudes is discussed from a perspective that emphasizes unitarity and analyticity. We elaborate on several methods that have driven to important results in hadron physics, either by themselves or in conjunction with effective field theory. We also develop and compare with the use of the Lippmann-Schwinger equation in near-threshold scattering. The final(initial)-state interactions are discussed in detail for the elastic and coupled-channel case. Emphasis has been put in the derivation and discussion of the methods presented, with some applications examined as important examples of their usage.
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The $f_0(1710)$ was previously proposed to be dynamically generated state by interactions between vector mesons. We extend the study of $f_0(1710)$ by including its coupling to channels of pseudoscalar mesons within coupled-channel approach. The channels involved are $K^*bar{K}^*,rhorho,omegaomega,phiphi, omegaphi,pipi,Kbar{K},etaeta$. We show that the pole assigned to $f_0(1710)$ does not change much. Then we calculate the partial decay widths of $f_0(1710) to K^*bar{K}^* to pipi,Kbar{K},etaeta$ as the coupled channel dynamically generated state as well as assuming it to be pure $K^*bar{K}^*$ molecule. In both cases the ratios of partial decay widths agree fairly with that in PDG.
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