MULTIPLE ELASTIC SCATTERING π--7 LI IN CLUSTER MODEL

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JAHANSHIR A.

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Journal: JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY) Year:2009 | Volume:19 | Issue:71 (PHYSIC ISSUE) Page(s): 92-100

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Title

MULTIPLE ELASTIC SCATTERING π--7 LI IN CLUSTER MODEL

Author(s)

JAHANSHIR A. | Issue Writer Certificate

Keywords

GLAUBER'S MULTIPLE SCATTERING THEORYQ3

GREEN FUNCTIONQ3

PROFILE FUNCTIONQ3

ALPHA-TRITIUM CLUSTERQ3

πN- AMPLITUDEQ3

DIFFERENTIAL ELASTIC CROSS SECTIONQ3

Abstract

Introduction: A theoretical analysis of the collision of particles with hadrons (wavelength of the incident particle is much smaller than the ranges of its interaction with nucleons), is carried out in the high energy approximation. This approximation, which corresponds to a generalized from of diffraction theory, takes explicit account of n-collision processes as well as single ones. It is used to express the amplitudes for elastic scattering by hadrons in terms of the elastic-scattering amplitudes of the hadrons components and hadrons wave functions.Aim: Elastic scattering of negative pions by nuclei in cluster model (a, t) has been studied by means of GLAUBER'S MULTIPLE SCATTERING THEORY. DIFFERENTIAL ELASTIC CROSS SECTIONs have been calculated.Materials and Method: Various authors have investigated pion-nucleus scattering for the purpose of studying nuclear structure and the pion-nucleon interaction inside the nucleus. The main purpose of such investigations is to understand the mean field encountered by the pion while traversing the target nucleus. This field is usually described in terms of either multiple scattering processes, which depend upon the nuclear charge distributions, or the complex optical model potential. We will restrict ourselves here to the first one where the projectile undergoes multiple scatterings during its passage through the nucleus. The independent multiple scattering theory have been used to describe the pion elastic scatterings from nuclei, is the well known GLAUBER'S MULTIPLE SCATTERING THEORY, which is under discussion here. The theory is based on high-energy Eikonal approximation, in which the interacting particles are almost frozen in their instantaneous positions during the passage of the projectile through the target and the trajectory is nearly straightforward.Results: The resulting expressions are used to evaluate differential cross section for elastic and the contributions to these cross sections of various single and n-rescattering processes of pion-lithium in ALPHA-TRITIUM CLUSTER model in the energy ~164MeV are exhibited individually. The results clearly agree and much more closely with the experimental values of the cross sections of (a, t).Conclusion: We have accurately calculated scattering amplitude of pion collision with clusters of Lithium nucleuses, and result from surveying theoretical diagrams, clarifies that it is only fourth diagram ( åp,7Li) from diagram-1, which encompasses all once and twice repeated collision between clusters and pion, while other diagrams only illustrate collision of pion with single clusters separately.

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APA: Copy

JAHANSHIR, A.. (2009). MULTIPLE ELASTIC SCATTERING π^--⁷ LI IN CLUSTER MODEL. JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY), 19(71 (PHYSIC ISSUE)), 92-100. SID. https://sid.ir/paper/70276/en

Vancouver: Copy

JAHANSHIR A.. MULTIPLE ELASTIC SCATTERING π^--⁷ LI IN CLUSTER MODEL. JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY)[Internet]. 2009;19(71 (PHYSIC ISSUE)):92-100. Available from: https://sid.ir/paper/70276/en

IEEE: Copy

A. JAHANSHIR, “MULTIPLE ELASTIC SCATTERING π^--⁷ LI IN CLUSTER MODEL,” JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY), vol. 19, no. 71 (PHYSIC ISSUE), pp. 92–100, 2009, [Online]. Available: https://sid.ir/paper/70276/en

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