Nonrelativistic Arbitrary l-States of Quarkonium through Asymptotic Iteration Method


ÇİFTCİ H. , KIŞOĞLU H. F.

ADVANCES IN HIGH ENERGY PHYSICS, cilt.2018, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2018
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1155/2018/4549705
  • Dergi Adı: ADVANCES IN HIGH ENERGY PHYSICS

Özet

The energy eigenvalues with any l not equal 0 states and mass of heavy quark-antiquark system (quarkonium) are obtained by using Asymptotic Iteration Method in the view of nonrelativistic quantum chromodynamics, in which the quarks are considered as spinless for easiness and are bounded by Cornell potential. A semianalytical formula for energy eigenvalues and mass is achieved via the method in scope of the perturbation theory. The accuracy of this formula is checked by comparing the eigenvalues with the ones numerically obtained in this study and with exact ones in literature. Furthermore, semianalytical formula is applied to c (c) over bar, b (b) over bar and c (b) over bar meson systems for comparing the masses with the experimental data.