### Abstract

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 Schrödinger 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 Schrödinger 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-1/2-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.

Original language | English |
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Pages (from-to) | 2955-2962 |

Number of pages | 8 |

Journal | Physical Review C |

Volume | 50 |

Issue number | 6 |

DOIs | |

Publication status | Published - 1994 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)
- Nuclear and High Energy Physics

### Cite this

*Physical Review C*,

*50*(6), 2955-2962. https://doi.org/10.1103/PhysRevC.50.2955

}

*Physical Review C*, vol. 50, no. 6, pp. 2955-2962. https://doi.org/10.1103/PhysRevC.50.2955

**Salient features of scattering amplitudes in intermediate energy nucleon-nucleus scattering.** / Susan, P.; Shastry, C. S.; Gambhir, Y. K.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Salient features of scattering amplitudes in intermediate energy nucleon-nucleus scattering

AU - Susan, P.

AU - Shastry, C. S.

AU - Gambhir, Y. K.

PY - 1994

Y1 - 1994

N2 - 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 Schrödinger 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 Schrödinger 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-1/2-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.

AB - 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 Schrödinger 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 Schrödinger 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-1/2-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.

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U2 - 10.1103/PhysRevC.50.2955

DO - 10.1103/PhysRevC.50.2955

M3 - Article

VL - 50

SP - 2955

EP - 2962

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 6

ER -