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Recently many authors have performed shell-model calculations of nuclearmatrix elements determining the rates of the ordinary muon capture in lightnuclei. These calculations have employed well-tested effective interactions inlarge scale shell-model studies. For one of the nuclei of interest, namely$^{28}$Si, there exists recent experimental data which can be used to deducethe value of the ratio $C_{P}/C_{A}$ by using the calculated matrix elements.Surprisingly enough, all the abovementioned shell-model results suggest a verysmall value ($\simeq 0$) for $C_{P}/C_{A}$, quite far from the PCAC predictionand recent data on muon capture in hydrogen. We show that this ratherdisturbing anomaly is solved by employing effective transition operators. Thisfinding is also very important in studies of the scalar coupling of the weakcharged current of leptons and hadrons.Comment: Revtex, 6 pages, 2 figs include

physical review. c. nuclear physics/physical review. c, nuclear physics

Towards the solution of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>P</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mo>/</mml:mo><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>A</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>anomaly in shell-model calculations of muon capture

Towards the solution of theCP/CAanomaly in shell-model calculations of muon capture