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

P. Susan, C. S. Shastry, Y. K. Gambhir

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 languageEnglish
Pages (from-to)2955-2962
Number of pages8
JournalPhysical Review C
Volume50
Issue number6
DOIs
Publication statusPublished - 1994

Fingerprint

scattering amplitude
nuclei
scattering
energy
cross sections
Dirac equation
nucleons
angular momentum
matrices

All Science Journal Classification (ASJC) codes

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

Cite this

@article{b320675f830a44e6818fe4bcea4e064d,
title = "Salient features of scattering amplitudes in intermediate energy nucleon-nucleus scattering",
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 Schr{\"o}dinger 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 Schr{\"o}dinger 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.",
author = "P. Susan and Shastry, {C. S.} and Gambhir, {Y. K.}",
year = "1994",
doi = "10.1103/PhysRevC.50.2955",
language = "English",
volume = "50",
pages = "2955--2962",
journal = "Physical Review C - Nuclear Physics",
issn = "0556-2813",
publisher = "American Physical Society",
number = "6",

}

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

In: Physical Review C, Vol. 50, No. 6, 1994, p. 2955-2962.

Research output: Contribution to journalArticle

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.

UR - http://www.scopus.com/inward/record.url?scp=33750211013&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33750211013&partnerID=8YFLogxK

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 -