Vortex nucleons with fixed m_L = ℓ impose a selection rule L ≥ |ℓ| on NN partial waves, excluding lower-L contributions while leaving phase shifts unchanged.
Rutherford scattering of electron vortices
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abstract
By considering a cylindrically symmetric generalization of a plane wave, the first Born approximation of screened Coulomb scattering unfolds two new dimensions in the scattering problem: transverse momentum and orbital angular momentum of the incoming beam. In this paper, the elastic Coulomb scattering amplitude is calculated analytically for incoming Bessel beams. This reveals novel features occurring for wide angle scattering when the incoming beam is correctly prepared. The result successfully generalizes the well known Rutherford formula, incorporating transverse and orbital angular momentum into the formalism.
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Vortex Nucleons as Partial-Wave Filters in Nucleon--Nucleon Scattering
Vortex nucleons with fixed m_L = ℓ impose a selection rule L ≥ |ℓ| on NN partial waves, excluding lower-L contributions while leaving phase shifts unchanged.