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A reciprocal bootstrap mechanism for quarks

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Il Nuovo Cimento (1955-1965)

Summary

We have considered theP-wave quark-pseudoscalar meson scattering and calculated the appropriate crossing matrix, which shows a reciprocal bootstrap relationship between quarks, Q, and some other particles, Q*, having the baryon number 1/3, spin 3/2 and belonging to the 15-dimensional representation ofSU 3. Using the determinantal method we have obtained self-consistent values which areM Q⋍2429 MeV,M*Q⋍5251 MeV,g 21 ⋍22,g 22 ⋍32, whereM Q,M*Q andg 21 ,g 22 are respectively the masses and couplings of Q and Q*.

Riassunto

Si è studiato lo scattering di mesoni quark-pseudoscalari in ondaP e calcolata la matrice incrociata appropriata, che indica una relazione di bootstrap reciproco fra i quarks, Q, e certe altre particelle, Q*, che hanno numero barionico 1/3, spin 3/2 ed appartengono alla rappresentazione a 15 dimensioni dell’SU 3. Usando il metodo dei determinanti si sono ottenuti valori autocoerenti che sonoM Q⋍2429 MeV,M*Q⋍5251 MeV.g 21 ⋍22,g 22 ⋍32, doveM Q,M*Q,g 21 eg 22 sono rispettivamente le masse e gli accoppiamenti di Q e Q*.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Durham, Durham

    A. Wazed

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  1. A. Wazed
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Wazed, A. A reciprocal bootstrap mechanism for quarks. Nuovo Cim 39, 292–299 (1965). https://doi.org/10.1007/BF02814279

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  • DOI: https://doi.org/10.1007/BF02814279

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