A graphical method for multi-soft-pion processes

Henry D.I. Abarbanel; Shmuel Nussinov

doi:10.1016/0003-4916(67)90136-4

A graphical method for multi-soft-pion processes

Henry D.I. Abarbanel^*
, Shmuel Nussinov

^*Corresponding author for this work

Princeton University

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

5 Scopus citations

Abstract

A set of graphical rules is established for writing down all the contributions to the hadron process α → β + n soft pions dictated by the algebra of current commutators of Gell-Mann and PCAC. Explicit results are given for n = 3. An example of n = 4 is treated in the form of soft π-π scattering, where the small s-wave scattering lengths found by Weinberg are rederived.

Original language	English
Pages (from-to)	467-475
Number of pages	9
Journal	Annals of Physics
Volume	42
Issue number	3
DOIs	https://doi.org/10.1016/0003-4916(67)90136-4
State	Published - May 1967
Externally published	Yes

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10.1016/0003-4916(67)90136-4

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title = "A graphical method for multi-soft-pion processes",

abstract = "A set of graphical rules is established for writing down all the contributions to the hadron process α → β + n soft pions dictated by the algebra of current commutators of Gell-Mann and PCAC. Explicit results are given for n = 3. An example of n = 4 is treated in the form of soft π-π scattering, where the small s-wave scattering lengths found by Weinberg are rederived.",

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N2 - A set of graphical rules is established for writing down all the contributions to the hadron process α → β + n soft pions dictated by the algebra of current commutators of Gell-Mann and PCAC. Explicit results are given for n = 3. An example of n = 4 is treated in the form of soft π-π scattering, where the small s-wave scattering lengths found by Weinberg are rederived.

AB - A set of graphical rules is established for writing down all the contributions to the hadron process α → β + n soft pions dictated by the algebra of current commutators of Gell-Mann and PCAC. Explicit results are given for n = 3. An example of n = 4 is treated in the form of soft π-π scattering, where the small s-wave scattering lengths found by Weinberg are rederived.

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VL - 42

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JO - Annals of Physics

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A graphical method for multi-soft-pion processes

Abstract

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