• Effect of correlations on nuclear muon capture

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    • Keywords

       

      Muon capture; Hartree-Fock wave functions; unitary model operator approach; partial capture rates; total capture rates; recoil polarisation; short range correlations; induced pseudoscalar coupling constant; tensor coupling constant; beta decay ‘ft’ value

    • Abstract

       

      The process μ+12C→12B+vμ is studied using the modified Hartree Fock wavefunction obtained with the unitary-model-operator-approach starting from the realistic hardcore nucleon-nucleon interaction, with the aim of testing the wavefunctions and obtaining a numerical value for the induced pseudoscalar coupling constant (gP). These observables, namely, the partial capture rate to the12B(1+; g.s), its recoil nuclear polarisation and the total capture rate, which exhaust the available experimental data in the above process have been calculated and compared with the other theoretical and experimental results.

      As far as the partial capture rate is concerned the use of the unitary-model operator approach wave functions for12C withb=2.09 fm and Cohen-Kurath wave function for12B(1+; g.s) reduces the pure shell model capture rate by about 30%. The effect of strong configuration mixing in the ground state of12C in taken into account by introducing a scale factor ξ similar to the ‘amplitude reduction factor’ of Donnelly and Walecka. With this ξ the agreement with the experiment both for the partial capture rate and the beta decay ‘ft’ value is found to be satisfactory.

      The12B(1+; g.s) recoil polarisation is found to be insensitive to the use of the unitary-model-operator-approach wave functions. When compared with the experimental data, we obtaingP=(14.9±1.9)gA.

      The total capture rate is found to be sensitive to the use of the unitary-modeloperator-approach wave functions which contain the effect of nucleon-nucleon short range correlations and we obtain a satisfactory agreement with the experiment for16O and12C, thereby revealing the importance of the effect of such correlations in the total capture rate studies.

    • Author Affiliations

       

      R Parthasarathy1 2 Y R Waghmare1

      1. Department of Physics, Indian Institute of Technology, Kanpur - 208 016
      2. Matscience, Institute of Mathematical Sciences, Madras - 600 020
    • Dates

       
  • Pramana – Journal of Physics | News

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