Scattering State Solutions of Vector Bosons Interacting with Sun Potential

Abstract

For vector bosons with spin-1, scattering state solutions have been attained by considering the Duffin-Kemmer-Petiau equation with the Sun interaction field. Based on the obtained solution, relations for phase shift and scattering amplitude have been derived. Furthermore, the bound state energy eigenvalue relation has been derived by taking the scattering amplitude to infinity. The results obtained through the Mathematica software program are presented graphically and numerically. In addition, the effects of the variables in the interaction function on the obtained results are discussed.

Keywords

• Scattering States
• Bound States
• Duffin-Kemmer-Petiau Equation
• Sun Potential

Sun Potansiyel ile Etkileşen Vektör Bozonlarının Saçılma Durumu Çözümleri

Abstract

Spini-1 olan vektör bozonlar için Sun potansiyeli varlığında Duffin-Kemmer-Petiau denklemi ele alınarak saçılma durumu çözümleri elde edilmiştir. Elde edilen çözümler kullanılarak faz kayması ve saçılma genliği için bağıntılar türetilmiştir. Ayrıca saçılma genliğini sonsuza götürerek bağlı durum enerji özdeğerleri denklemi elde edilmiştir. Mathematica yazılım programı aracılığıyla elde edilen sonuçlar grafiksel ve nümerik olarak verilmiştir. Bunlara ek olarak etkileşme fonksiyonunda yer alan değişkenlerin elde edilen sonuçlara olan etkileri tartışılmıştır.

Keywords

• Saçılma durumları
• Bağlı Durumlar
• Duffin-Kemmer-Petiau denklemi
• Sun Potansiyeli

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