Sensitivity of phase shifts to the optical potentials in heavy ion scattering

Shastry, C. S.; Gambhir, Y. K.

doi:10.1103/physrevc.28.1109

Cited by 4 publications

(4 citation statements)

References 14 publications

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“…The regionwise absorption pattern in the relativistic collision shows very striking similarity with the absorption process in heavy ion scattering [16], leading to the conclusion that surface The functional dependence of~S&+~is akin to the corresponding result in heavy ion scattering as far as the smooth Fermi-function-type behavior is concerned. How 5(b) shows that variation of b& is also strongly energy dependent.…”

Section: Regionwise Absorption In Optical Modelmentioning

confidence: 78%

“…In [16,17] a procedure was formulated to obtain the contribution to the reaction cross section from a shell of radius r and thickness 4 around the scattering center within the &amework of the nuclear optical model. Here we summarize the essential and relevant mathematical results appropriately modified for spin-2 -spin-0 systems.…”

Section: A Mathematical Formalismmentioning

confidence: 99%

“…For example, one can seek information regarding the finer details and differences in the scattering and reaction process involved in the DS and RK approaches. In a set of papers [16,17] …”

Section: Introductionmentioning

confidence: 99%

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Salient features of scattering amplitudes in intermediate energy nucleon-nucleus scattering

1994

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Phenomenological relativistic optical models for scattering of nucleons from a spin-0 nucleus mainly use two difFerent approaches. In the first, one essentially uses the Schrodinger equation incorporating appropriate relativistic kinematical terms. In the second approach, which is superior especially in reproducing spin observables, one starts with the Dirac equation and obtains an equivalent Schrodinger equation which forms a convenient basis for the calculation of experimental observables. Adopting a mathematical procedure developed earlier within the framework of potential scattering, we calculate the regionwise contribution to the reaction cross section for spin-~-spin-0 systems using both these types of relativistic optical models. The relative importance of different regions of intermediate energy optical potential in generating the total reaction cross section is examined using the method of regionwise absorption and it is found that reaction process is surface dominant. These findings are further elaborated by depicting the general features of S matrix and scattering amplitudes as a function of angular momentum. PACS number(s): 24.1G.Ht, 24.10.Jv, 25.40.Cm

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Section: Regionwise Absorption In Optical Modelmentioning

confidence: 78%

Section: A Mathematical Formalismmentioning

confidence: 99%

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Salient features of scattering amplitudes in intermediate energy nucleon-nucleus scattering

1994

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“…However, note that the way of transparency to estimate the contribution of absorption in each part of the effective potential with this MP method is highly popular. This is why we use the MP method instead of the most successful Runge-Kutta method [23], which requires re-normalization of the wave function at different stages of the phase shift calculations [24]. To examine the feasibility and pertinence of this MP method, we studied both scattering and fusion phenomena of O+ Zr systems simultaneously and also applied the same to the isotopes of the projectile.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Scattering and fusion reaction dynamics of O + Zr system around Coulomb barrier

Dash¹,

Swain²,

Tripathy³

et al. 2022

Chinese Phys. C

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A partial wave scattering matrix for the total effective complex potential of nucleus nucleus collisions is used to handily analyze the angular variations of elastic scattering and fusion cross-sections simultaneously with a unique potential. The expectation value of the imaginary part of the potential calculated using the distorted waves from the full potential in the elastic channel accounts for σr. This is equated as the sum of the cross-sections due to absorption in different regions of the potential where the imaginary part is actively present. The potential is taken as energy independent and its weakly absorbing nature, which supports the resonance states in various partial wave trajectories. Therefore, these resonances show oscillatory behavior changes with respect to energy D(Ec.m) = d2(Ec.mσfus) dE2 c.m . In this paper, we have successfully discussed the elastic scattering and fusion cross-sections simultaneously with the results of D(Ec.m.) for 16O+92Zr system.

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Regionwise absorption, interaction time, and annihilation cross-section in antiproton-nucleus collision

Dey

Shastry

1990

Nuov Cim A

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Sensitivity of phase shifts to the optical potentials in heavy ion scattering

Cited by 4 publications

References 14 publications

Salient features of scattering amplitudes in intermediate energy nucleon-nucleus scattering

Salient features of scattering amplitudes in intermediate energy nucleon-nucleus scattering

Scattering and fusion reaction dynamics of O + Zr system around Coulomb barrier

Regionwise absorption, interaction time, and annihilation cross-section in antiproton-nucleus collision

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