Abstract
Starting from an effective three-body Hamiltonian consisting of realistic two-body potentials, we solve the Faddeev-AGS equations for \(d+\alpha \) scattering using the separable expansion method. First, we construct separable representations of the two-body interactions and solve one-dimensional integral equations to obtain angular distributions for elastic scattering. We find that the latter converge rapidly with the number of separable terms. Moreover, we observe that these cross sections are in excellent agreement with those calculated by directly solving the Faddeev-AGS equations using the original interactions. This result demonstrates that the separable expansion method can be used to obtain accurate solutions of the Faddeev-AGS equations.
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Acknowledgements
This work was in part supported by the U.S. NSF under contracts NSF-PHY-1520972, NSF-PHY-1520929, the U.S. DoE under contracts DE-FG02-93ER40756, DE-AC02-05CH11231, NSFC under Grant No. 11621131001, and DFG under Grant No. TRR110.
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Hlophe, L., Lei, J., Elster, C., Nogga, A., Nunes, F.M. (2020). Three-Body Approach to Deuteron-Alpha Scattering Using Realistic Forces in a Separable or Non-separable Representation. In: Orr, N., Ploszajczak, M., Marqués, F., Carbonell, J. (eds) Recent Progress in Few-Body Physics. FB22 2018. Springer Proceedings in Physics, vol 238. Springer, Cham. https://doi.org/10.1007/978-3-030-32357-8_47
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DOI: https://doi.org/10.1007/978-3-030-32357-8_47
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