Analytical solutions for the Bohr Hamiltonian with the Woods-Saxon potential

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Atıf İçin Kopyala

Capak M., Petrellis D., Gonul B., BONATSOS D.

JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, cilt.42, sa.9, 2015 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 42 Sayı: 9
• Basım Tarihi: 2015
• Doi Numarası: 10.1088/0954-3899/42/9/095102
• Dergi Adı: JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• İstanbul Üniversitesi Adresli: Hayır

Özet

Approximate analytical solutions in closed form are obtained for the five-dimensional Bohr Hamiltonian with the Woods-Saxon potential, taking advantage of the Pekeris approximation and the exactly solvable one-dimensional extended Woods-Saxon potential with a dip near its surface. Comparison with the data for several gamma-unstable and prolate deformed nuclei indicates that the potential can describe well the ground state and gamma(1) bands of many prolate deformed nuclei corresponding to a large enough 'well size' and diffuseness, while it fails in describing the beta(1) bands, due to its lack of a hard core, as well as in describing gamma-unstable nuclei, because of the small 'well size' and diffuseness they exhibit.