Renormalization of the isovector πN amplitude in pionic atoms

Eli Friedman; A. Gal

doi:10.1016/S0375-9474(03)01476-3

Renormalization of the isovector πN amplitude in pionic atoms

Eli Friedman^*, A. Gal

^*Corresponding author for this work

Racah Institute of Physics

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

27 Scopus citations

Abstract

The extraction of the isovector s-wave πN amplitude from pionic atoms is studied with special emphasis on uncertainties and their dependence on the assumptions made regarding the neutron density distributions in nuclei and on the size of the data base used. Only 'global' analyses of pionic-atom data reveal a discrepancy between the extracted isovector s-wave πN amplitude b₁=(-0.108±0.007)m_π^-1 and its free πN counterpart b₁^free=-0.0885 ^+0.0010_-0.0021 m_π^-1, where the uncertainty in the neutron densities is included in the error analysis. The role of 'deeply bound' pionic atom states is discussed and the reason for failure of these states to provide new information is explained.

Original language	English
Pages (from-to)	143-156
Number of pages	14
Journal	Nuclear Physics A
Volume	724
Issue number	1-2
DOIs	https://doi.org/10.1016/S0375-9474(03)01476-3
State	Published - 25 Aug 2003

Keywords

Pionic atoms
s-wave repulsion

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10.1016/S0375-9474(03)01476-3

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abstract = "The extraction of the isovector s-wave πN amplitude from pionic atoms is studied with special emphasis on uncertainties and their dependence on the assumptions made regarding the neutron density distributions in nuclei and on the size of the data base used. Only 'global' analyses of pionic-atom data reveal a discrepancy between the extracted isovector s-wave πN amplitude b1=(-0.108±0.007)mπ-1 and its free πN counterpart b1free=-0.0885 +0.0010-0.0021 mπ-1, where the uncertainty in the neutron densities is included in the error analysis. The role of 'deeply bound' pionic atom states is discussed and the reason for failure of these states to provide new information is explained.",

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AU - Gal, A.

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N2 - The extraction of the isovector s-wave πN amplitude from pionic atoms is studied with special emphasis on uncertainties and their dependence on the assumptions made regarding the neutron density distributions in nuclei and on the size of the data base used. Only 'global' analyses of pionic-atom data reveal a discrepancy between the extracted isovector s-wave πN amplitude b1=(-0.108±0.007)mπ-1 and its free πN counterpart b1free=-0.0885 +0.0010-0.0021 mπ-1, where the uncertainty in the neutron densities is included in the error analysis. The role of 'deeply bound' pionic atom states is discussed and the reason for failure of these states to provide new information is explained.

AB - The extraction of the isovector s-wave πN amplitude from pionic atoms is studied with special emphasis on uncertainties and their dependence on the assumptions made regarding the neutron density distributions in nuclei and on the size of the data base used. Only 'global' analyses of pionic-atom data reveal a discrepancy between the extracted isovector s-wave πN amplitude b1=(-0.108±0.007)mπ-1 and its free πN counterpart b1free=-0.0885 +0.0010-0.0021 mπ-1, where the uncertainty in the neutron densities is included in the error analysis. The role of 'deeply bound' pionic atom states is discussed and the reason for failure of these states to provide new information is explained.

KW - Pionic atoms

KW - s-wave repulsion

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EP - 156

JO - Nuclear Physics A

JF - Nuclear Physics A

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Renormalization of the isovector πN amplitude in pionic atoms

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