FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2017247967> ?p ?o ?g. }

• W2017247967 abstract "In this paper we construct Born amplitudes for a theory of nonstrange meson interactions. It is convenient to summarize our results in two parts. (i) Four-particle Born amplitude, ${A}_{4}$ Here we decide to retain two and reject two of four properties possessed by the unit-intercept Euler-$B$-function model. We retain (a) no odd daughters and (b) summability over permutations; we reject (c) the supplementary condition on the sum of trajectory functions and (d) the Plahte phase identities. The reason for rejecting (c) is simply that the physical masses do not in general fulfill such a condition; one is then forced to reject (d) because without (c) the phase identies are inconsistent. Having made these decisions, we show that retention of (a) and (b) guarantees that there be new singularities in the integrand. Reggc behavior dictates that these singularities be at the fixed points $x={e}^{ifmmodepmelsetextpmfi{}frac{iensuremath{pi}}{3}}$ of a six-element ${mathrm{S}}_{3}$ group with elements $xensuremath{rightarrow}(1ensuremath{-}x)ensuremath{rightarrow}frac{x}{(xensuremath{-}1)}$. The general form of ${A}_{4}$ is given; it contains a function which is (1) invariant under an ${mathrm{S}}_{3}$ group and (2) analytic everywhere except for possible simple or multiple poles at the fixed points. Some examples lead to the selection of a particularly simple form for ${A}_{4}$ as a physically interesting model for $ensuremath{pi}ensuremath{pi}$ elastic scattering. Some phenomenological consequences of this model are given including the elastic-resonance widths and the status of the soft-pion consistency condition. (ii) $N$-particle Born amplitude, ${A}_{N}$. By introducing redundant variables and rewriting ${A}_{4}$ in terms of projective-invariant anharmonic ratios, the integrand becomes invariant under a larger ${mathrm{S}}_{4}$ group. This is convenient because it enables us to extend all factors, including those with fixed-point singularities, from ${A}_{4}$ to ${A}_{N}$. The general formula for ${A}_{N}$ is given; its integrand is ${mathrm{S}}_{N}$-invariant. An extension of the specific physically interesting four-pion model is constructed. Evident in the multipionic amplitude is an anticommutative algebra which we interpret as the signature of underlying fermionic quarks. In our final remarks we urge that the spectrum uniquely implied by these multipionic amplitudes be analyzed and compared in detail with experimental observations of the nonstrange mesonic spectrum. In an appendix we point out that the symmetric group may be used to unify three different previous proposals. Special cases, extrapolated to unphysical mass values, of the present approach include (1) the unit-$ensuremath{rho}ensuremath{-}ensuremath{pi}$-intercept ${A}_{4}$ of Veneziano and its ${A}_{N}$ extension in the Bardakci-Chan-Goebel-Koba-Nielsen-Ruegg-Sakita-Tsun-Virasoro theory; (2) the unit-p-intercept ${A}_{4}$ of Lovelace and Shapiro and its ${A}_{N}$ extension by Neveu and Schwarz; (3) the equal-$ensuremath{rho}ensuremath{-}ensuremath{pi}$-intercept ${A}_{4}$ of Mandelstam and its ${A}_{N}$ extension by Gervais and Neveu." @default.
• W2017247967 created "2016-06-24" @default.
• W2017247967 creator A5039317513 @default.
• W2017247967 date "1973-05-15" @default.
• W2017247967 modified "2023-09-25" @default.
• W2017247967 title "Symmetric Group and Meson Born Amplitudes" @default.
• W2017247967 cites W1622494512 @default.
• W2017247967 cites W1986376964 @default.
• W2017247967 cites W1988927472 @default.
• W2017247967 cites W2002556358 @default.
• W2017247967 cites W2003827983 @default.
• W2017247967 cites W2007108059 @default.
• W2017247967 cites W2018882233 @default.
• W2017247967 cites W2021016469 @default.
• W2017247967 cites W2028919547 @default.
• W2017247967 cites W2035795580 @default.
• W2017247967 cites W2042129873 @default.
• W2017247967 cites W2048535125 @default.
• W2017247967 cites W2064054463 @default.
• W2017247967 cites W2068417027 @default.
• W2017247967 cites W2076135667 @default.
• W2017247967 cites W2076637450 @default.
• W2017247967 cites W2079592648 @default.
• W2017247967 cites W2092371207 @default.
• W2017247967 cites W2094184207 @default.
• W2017247967 cites W2117414617 @default.
• W2017247967 cites W2136826226 @default.
• W2017247967 cites W49720085 @default.
• W2017247967 doi "https://doi.org/10.1103/physrevd.7.3077" @default.
• W2017247967 hasPublicationYear "1973" @default.
• W2017247967 type Work @default.
• W2017247967 sameAs 2017247967 @default.
• W2017247967 citedByCount "16" @default.
• W2017247967 crossrefType "journal-article" @default.
• W2017247967 hasAuthorship W2017247967A5039317513 @default.
• W2017247967 hasBestOaLocation W20172479672 @default.
• W2017247967 hasConcept C109214941 @default.
• W2017247967 hasConcept C111472728 @default.
• W2017247967 hasConcept C114614502 @default.
• W2017247967 hasConcept C121332964 @default.
• W2017247967 hasConcept C12843 @default.
• W2017247967 hasConcept C138885662 @default.
• W2017247967 hasConcept C153013531 @default.
• W2017247967 hasConcept C180205008 @default.
• W2017247967 hasConcept C190470478 @default.
• W2017247967 hasConcept C200006409 @default.
• W2017247967 hasConcept C2780586882 @default.
• W2017247967 hasConcept C2781311116 @default.
• W2017247967 hasConcept C33923547 @default.
• W2017247967 hasConcept C37914503 @default.
• W2017247967 hasConcept C62520636 @default.
• W2017247967 hasConceptScore W2017247967C109214941 @default.
• W2017247967 hasConceptScore W2017247967C111472728 @default.
• W2017247967 hasConceptScore W2017247967C114614502 @default.
• W2017247967 hasConceptScore W2017247967C121332964 @default.
• W2017247967 hasConceptScore W2017247967C12843 @default.
• W2017247967 hasConceptScore W2017247967C138885662 @default.
• W2017247967 hasConceptScore W2017247967C153013531 @default.
• W2017247967 hasConceptScore W2017247967C180205008 @default.
• W2017247967 hasConceptScore W2017247967C190470478 @default.
• W2017247967 hasConceptScore W2017247967C200006409 @default.
• W2017247967 hasConceptScore W2017247967C2780586882 @default.
• W2017247967 hasConceptScore W2017247967C2781311116 @default.
• W2017247967 hasConceptScore W2017247967C33923547 @default.
• W2017247967 hasConceptScore W2017247967C37914503 @default.
• W2017247967 hasConceptScore W2017247967C62520636 @default.
• W2017247967 hasLocation W20172479671 @default.
• W2017247967 hasLocation W20172479672 @default.
• W2017247967 hasLocation W20172479673 @default.
• W2017247967 hasOpenAccess W2017247967 @default.
• W2017247967 hasPrimaryLocation W20172479671 @default.
• W2017247967 isParatext "false" @default.
• W2017247967 isRetracted "false" @default.
• W2017247967 magId "2017247967" @default.
• W2017247967 workType "article" @default.