2023
DOI: 10.21203/rs.3.rs-2773536/v1
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Exact and approximate solutions of Dirac-Morse problem in curved space-time

Abstract: In this work, we analyze the Dirac-Morse problem with spin and pseudo-spin symmetries in deformed nuclei. So, we consider the Dirac equation with the scalar U (r) and vector V (r) Morse-type potentials and tensor Hellmann-type potential in curved space-time whose line element is of type ds2 = (1 + α2 U (r))2 (dt2 − dr2 )− r2 dθ2 − r2 sin2θdφ2 . From the effective tensor potential Aeff(r) = λ/r + α2 λU(r)/r + A(r), that contain terms of spin-orbit coupling, line element and electromagnetic field, we analyze dir… Show more

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