Lower bounds to the I = 0, I = 2 ππ s-wave scattering lenghts |
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Authors: | C Lopez G Mennessier |
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Institution: | Department of Applied Mathematics and Theoretical Physics, Cambridge University, England |
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Abstract: | Roy's exact partial wave equations allow us to find bounds for any linear combination of the isospin I = 0 and s-wave scattering lengths, with positive coefficients. The bound is a function of the quantity aD = a2(0) + a2(2), where a2(I) are the D-wave sacttering lengths. Thus, we can draw on the (a0(0), a0(2)) plane an allowed domain whose boundary is fairly close to the phenomenological region. For a value of aD = 1.7×10?3, we find the following particular bounds: a0(0)??0.49, a0(2)??0.29. |
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