Scattering and bound states of fermions in a mixed vector-scalar smooth step potential
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Elsevier B.V.
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The scattering of a fermion in the background of a smooth step potential is considered with a general mixing of vector and scalar Lorentz structures with the scalar coupling stronger than or equal to the vector coupling. Charge-conjugation and chiral-conjugation transformations are discussed and it is shown that a finite set of intrinsically relativistic bound-state solutions appears as poles of the transmission amplitude. It is also shown that those bound solutions disappear asymptotically as one approaches the conditions for the realization of the so-called spin and pseudospin symmetries in a four-dimensional space-time. (C) 2014 Elsevier Inc. All rights reserved.
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Smooth step potential, Spin symmetry, Isolated solution, Effective mass
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Inglês
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Annals Of Physics. San Diego: Academic Press Inc Elsevier Science, v. 346, p. 164-181, 2014.
