The S11-P11 phase shifts of pion-nucleon scattering

Robert H. Barron; Jamil Daboul

doi:10.1007/BF01434055

The S₁₁-P₁₁ phase shifts of pion-nucleon scattering

Robert H. Barron
, Jamil Daboul

Department of Physics

Research output: Contribution to journal › Article › peer-review

Abstract

The S₁₁ and P₁₁ partial amplitude is calculated using the N/D method. The present calculation differs from the previous ones in the handling of the divergent behavior of the forces due to first-order diagrams, by parameterizing the short-range forces, and in the way of including inelasticity. We obtain the nucleon as a bound state with correct mass and residue and the correct S₁₁ and P₁₁ scattering lengths. The calculated S-wave and P-wave phase shifts and absorption coefficients are in substantial agreement with those from the CERN Theoretical and Almehed-Lovelace phase shift analyses.

Original language	English
Pages (from-to)	399-406
Number of pages	8
Journal	Zeitschrift für Physik A: Atoms and Nuclei
Volume	274
Issue number	4
DOIs	https://doi.org/10.1007/BF01434055
State	Published - 1 Dec 1975

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1007/BF01434055

Cite this

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title = "The S11-P11 phase shifts of pion-nucleon scattering",

abstract = "The S11 and P11 partial amplitude is calculated using the N/D method. The present calculation differs from the previous ones in the handling of the divergent behavior of the forces due to first-order diagrams, by parameterizing the short-range forces, and in the way of including inelasticity. We obtain the nucleon as a bound state with correct mass and residue and the correct S11 and P11 scattering lengths. The calculated S-wave and P-wave phase shifts and absorption coefficients are in substantial agreement with those from the CERN Theoretical and Almehed-Lovelace phase shift analyses.",

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AU - Daboul, Jamil

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Y1 - 1975/12/1

N2 - The S11 and P11 partial amplitude is calculated using the N/D method. The present calculation differs from the previous ones in the handling of the divergent behavior of the forces due to first-order diagrams, by parameterizing the short-range forces, and in the way of including inelasticity. We obtain the nucleon as a bound state with correct mass and residue and the correct S11 and P11 scattering lengths. The calculated S-wave and P-wave phase shifts and absorption coefficients are in substantial agreement with those from the CERN Theoretical and Almehed-Lovelace phase shift analyses.

AB - The S11 and P11 partial amplitude is calculated using the N/D method. The present calculation differs from the previous ones in the handling of the divergent behavior of the forces due to first-order diagrams, by parameterizing the short-range forces, and in the way of including inelasticity. We obtain the nucleon as a bound state with correct mass and residue and the correct S11 and P11 scattering lengths. The calculated S-wave and P-wave phase shifts and absorption coefficients are in substantial agreement with those from the CERN Theoretical and Almehed-Lovelace phase shift analyses.

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DO - 10.1007/BF01434055

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JO - Zeitschrift für Physik A: Atoms and Nuclei

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