Description of coupled-channel in Semiclassical treatment of heavy ion fusion reactions

Abstract

Fusion cross sections were measured for the systems 40Ar+144Sm, 40Ar+148Sm and 40Ar+ 154Sm above and under Coulomb barrier to understand the role of coupled channels effects involved in barriers fusion. The fusion barriers distributions and fusion probabilities were analyzed using the semiclassical mechanical code which called Sequential Complete Fusion (SCF) as well as Full Coupled Channel code (CCFULL). These calculations show that the observed fusion cross sections fusion barrier distribution and fusion probabilities for these systems are reproduced clearly in the semiclassical mechanical for all excitation states above and under Coulomb barrier.

Study of Fusion Reactions of Light Projectiles on Light and Medium Targets

“…In the above equation, u γl (𝚔 γ ,𝚛) refers to the wave function of the radial part in γ channel, and the potential imaginary part denoted by 𝑊 (𝚛) . The using of semiclassical theory to compute heavy ions fusion cross section by approximating the trajectory 𝑟, and the projectile intrinsic states ( ƹ ) using the Coupled-Channel Continuum Discretized (CCCD) method with the helpful of Winther and Alder (AW) theory [21,22,23,24,25]. The Hamiltonian of the projectile is,…”

“…The relative motion between the colliding nuclei in addition to the nuclear intrinsic degrees of freedom need to be studied quantum mechanically by assuming Ψ(𝐫, 𝜉) to be the entire wave function for the reaction with r represents the separation vector of the projectile and target while 𝜉 refers to their intrinsic coordinates set. By the Hamiltonian, the reaction dynamics can be determined as [18], 𝐻 = 𝐻 + 𝑇 + 𝑈 (23).…”