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Abstract |
We have carried out an evaluation of the pi(+)pi(-) and D-s(+)pi(+) mass distributions in the D-s1(2536) decay to D-s(+)pi(+)pi(-), from the perspective that the D-s1(2536) is a molecular state, mostly made from K*D in I = 0. We are able to obtain not only the mass distributions, but also the branching ratio of this decay. The shape of the mass distributions differs appreciably from those of the analogous reaction D-s1(2460) -> D-s(+)pi(+)pi(-), which has been measured by the LHCb Collaboration and analyzed theoretically from the perspective that the D-s1(2460) is a molecular state of D*K, showing good agreement with the data. In spite of the analogy with the D-s1(2460) decay, the dynamical differences in the decay mechanism are important, since now the f(0)(500) resonance is not generated, while it was the dominant mechanism in the D-s1(2460) -> D-s(+)pi(+)pi(-) decay. Nonetheless, we find striking differences in the mass distributions compared with phase space as a consequence of the decay mechanism. The branching ratio obtained is an order of magnitude bigger than the one of the D-s1(2460) -> D-s(+)pi(+)pi(-) reaction, mostly due to the larger available phase space. We also show that the shape of the distributions obtained from the molecular picture is quite different from those obtained based on a qq picture. We conclude that measuring the shape of the mass distributions and the total strength of the decay mode should be very valuable to learn about the structure of the D-s1(2536). |
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