Bound states of the Dirac equation for the generalized Woods-Saxon potential in pseudospin and spin symmetry limits

CANDEMIR N., Bayrak O.

MODERN PHYSICS LETTERS A, cilt.29, sa.35, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 35
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1142/s0217732314501806
  • Dergi Adı: MODERN PHYSICS LETTERS A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Pseudospin and spin symmetry, analytical solution, Woods-Saxon potential, NUCLEI, MODEL
  • Akdeniz Üniversitesi Adresli: Evet

Özet

Bound state solutions of the Dirac equation for the generalized Woods-Saxon potential are examined for arbitrary. states by using the approximation to the Coulomb and centrifugal potentials in pseudospin symmetry (PSS) and spin symmetry (SS) limits, respectively. The energy eigenvalues and corresponding eigenfunctions are obtained in closed forms. Some numerical examples are given for proton or anti-proton in a nucleus. The correlations between the energy splitting and some parameters of the effective potential in PSS limit are examined for several pseudospin doublets.