Scattering and Bound States of Duffin-Kemmer-Petiau Particles for 𝑞-Parameter Hyperbolic Pöschl-Teller Potential

Table 1

Table for some definitions used in calculations of 𝑇 and 𝑅.

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𝑆₁=−(1+𝑞)²(2𝛼𝜂)[𝑚(1+𝑞)²+8𝜆(𝜆−1)]𝑞−11+𝑞

𝑆₂=−(1+𝑞)²(2𝛼)[𝑚(1+𝑞)²𝑞+8𝜆(𝜆−1)](1+𝑞)²

𝑆₃=(1+𝑞)²(2𝛼𝜂)[𝑚(1+𝑞)²+8𝜆(𝜆−1)]

𝐹₁=₂𝐹₁12𝜂+𝜎+21,2𝜂−𝜎+21;1+2𝜂;1+𝑞

𝐹₂=(2𝜂+𝜎+1/2)(2𝜂−𝜎+1/2)1+2𝜂²𝐹₁32𝜂+𝜎+23,2𝜂−𝜎+21;2+2𝜂;1+𝑞

𝐹₃=₂𝐹₁1𝜎+21,−𝜎+21;1−2𝜂;1+𝑞

𝐹₄=(𝜎+1/2)(−𝜎+1/2)1−2𝜂²𝐹₁3𝜎+23,−𝜎+21;2−2𝜂;1+𝑞

𝐹₅=₂𝐹₁1𝜎+21,−𝜎+2𝑞;1−2𝜂;1+𝑞

𝐹₆=(𝜎+1/2)(−𝜎+1/2)1−2𝜂²𝐹₁3𝜎+23,−𝜎+2𝑞;2−2𝜂;1+𝑞

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