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Visualization of Jacobi coordinates for two-proton correlations

Three-body phenomena, like two-proton radioactivity, are described theoretically in the Jacobi coordinates. In the case of the 2p emission, the complete correlation picture is depends on two parameters. The interactive manipulation illustrates how the values of these two Jacobi parameters translate to the laboratory system. Two tabs allow to chose one of the two Jacobi systems used: T or Y. The image on the left shows definitions for the chosen Jacobi system. The coordinates in the Jacobi system are selected in the middle panel by a Locator movable by the mouse. The graph on the right illustrates the momenta of both protons in the lab system. Lengths of the lines are proportional to the momentum values. The momentum of the recoiling daughter is not shown. The distribution shown in the middle represents the predicted correlations for the case of 45Fe calculated in the three-body model by L. Grigorenko et al. Phys. Rev. C82, 014615 (2010). 








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