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In this work, we tested the effect of adding a volume term to the surface term in our modified optical potential in the case of elastic neutron scattering of spin-zero [sup.40]Ca nucleus in the incident energy range between 30-50 MeV. This is achieved in two steps. First, we fit our theoretical elastic angular distribution scattering using the surface term in our velocity-dependent optical potential concerning the experimental data. Then, we adjust our theoretical elastic angular distribution scattering with the experimental data after adding the volume term into our velocity-dependent optical potential. The second step is comparing the two fits and noticing the effect of adding a volume term to the surface term. Clearly, the modified optical potential using the volume term resulted in excellent fits to the experimental data, most notably the pronounced large angle, backscattering minima, which depend sensitively on the incident energies and which have long been associated with nonlocalities. We assume the nonlocality to be due to interaction between the incident neutrons and the nucleons inside the target. Key words: neutron elastic scattering, velocity-dependent optical potential, nonlocality, surface term, volume term. Nous testons ici les effets d'ajouter un terme de volume au terme de surface deja present dans notre potentiel optique modifie pour etudier la diffusion elastique de neutrons par des noyaux sans spin de [sup.40]Ca dans le domaine d'energie de 30 a 50 MeV. Le travail se fait en deux etapes. D'abord nous procedons a un ajustage numerique (fit) de notre distribution angulaire elastique theorique utilisant notre potentiel optique avec dependance sur la vitesse et le seul terme de surface et nous refaisons l'exercice d'ajustement numerique apres avoir ajoute un terme de volume. Dans la deuxieme etape, nous comparons les deux ajustements numeriques et notons l'effet de l'ajout du terme de volume. Nous constatons alors clairement que le potentiel contenant le terme de volume donne un meilleur ajustement aux valeurs experimentales, particulierement en ce qui a trait a la diffusion aux grands angles, la diffusion arriere, qui depend beaucoup de l'energie incidente et a longtemps ete associee a la non localite, que nous supposons etre due a l'interaction entre le neutron incident et les nucleons a l'interieur du noyau. [Traduit par la Redaction] Mots-cles: diffusion elastique de neutrons, potentiel optique dependant de la vitesse, non localite, terme de surface, terme de volume., 1. Introduction It has been about 60 years since it was first suggested that the interaction of nucleons with nuclei could be represented by a complex potential, and since then [...]

In this paper, the Schrodinger equation for quaternionic quantum mechanics with a Dirac delta potential has been investigated. The derivative discontinuity condition for the quaternionic wave function has been derived and the boundary conditions for the quaternionic wave function have been applied. Probability current densities for different regions of the problem have been determined along with reflection and transmission coefficients. Key words: quaternionic quantum mechanics, Dirac delta potential, Schrodinger equation, reflection and transmission coefficients. Nous etudions ici l'equation de Schrodinger pour la mecanique quantique des quaternions avec un potentiel en fonction delta. Nous derivons la condition de discontinuite derivative pour la fonction d'onde de quaternion et appliquons les conditions limites a cette fonction d'onde. Les densites de courant de probabilite sont evaluees pour differentes regions du probleme et de meme pour les coefficients de reflexion et de transmission. [Traduit par la Redaction] Mots-cles : mecanique quantique des quaternions, potentiel en fonction delta, equation de Schrodinger, coefficients de reflexion et de transmission. PACS Nos.: 02.30.Tb, 03.65.Ca., 1. Introduction It is well-known that quaternions were discovered for the first time by Sir William Rovan Hamilton in 1843. They are suitable options to express some classical phenomena. The [...]