Question
Write down the wave function for . Use the isospin raising operator to derive the wavefunctions for
and
.
Answer :
Word Count : 211
The pion triplet forms an isospin (I = 1) multiplet with third component (I_3 = +1, 0, -1). We start with the wavefunction of (\pi^-), which has (I_3 = -1). In terms of isospin states (|I, I_3\rangle): [ |\pi^-\rangle = |1, -1\rangle _______ ________ _____ _______ __________ ________ ___ ______.
__________ _______ _____ ____ _____ ___ _______ ______ _____ ______.
________ ____ ________ ____ ___ _______ _____ _____ _______ __________ __________ ____.
_________ ______ ____ __________ _____ _______ _______.
____ _____ _______ _________ ________.
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__________ ____ _________ ___ ___ _____.
______ ___ ____ ______ ___ ______ __________ ________ ________ _________.
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__________ _________ _________ ______ _____ _________ ____ __________ _____ ____.
______ ______ _______ ___ ___ _________ ________ _______.
_______ ____ ______ _____ _______ _____ __________.
________ ___ _____ _____ _______ ___ ________ __________ _____ ________ _____ _____.
_________ _________ __________ ___ ________ ____ ______ __________ _________ _______ _______ _______.
__________ ________ ________ ________ _____ _______.
_____ ___ ______ _______ ____ _______ _____ ____ __________ ___ _____.
__________ ____ _____ _____ __________ _____ ___ ____.
_________ ______ ___ ____ ____.
____ ___ ___ ____ ____.
_________ _________ ___ _____ __________ ________ __________.
_______ _________.
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The pion triplet forms an isospin (I = 1) multiplet with third component (I_3 = +1, 0, -1). We start with the wavefunction of (\pi^-), which has (I_3 = -1). In terms of isospin states (|I, I_3\rangle): [ |\pi^-\rangle = |1, -1\rangle _______ ________ _____ _______ __________ ________ ___ ______.
__________ _______ _____ ____ _____ ___ _______ ______ _____ ______.
________ ____ ________ ____ ___ _______ _____ _____ _______ __________ __________ ____.
_________ ______ ____ __________ _____ _______ _______.
____ _____ _______ _________ ________.
__________ __________ _________ ______ _________ ____ _______ _________ _________ ________.
__________ ____ _________ ___ ___ _____.
______ ___ ____ ______ ___ ______ __________ ________ ________ _________.
_____ ______ _______ _________ ______ _____ ____ _________.
__________ _________ _________ ______ _____ _________ ____ __________ _____ ____.
______ ______ _______ ___ ___ _________ ________ _______.
_______ ____ ______ _____ _______ _____ __________.
________ ___ _____ _____ _______ ___ ________ __________ _____ ________ _____ _____.
_________ _________ __________ ___ ________ ____ ______ __________ _________ _______ _______ _______.
__________ ________ ________ ________ _____ _______.
_____ ___ ______ _______ ____ _______ _____ ____ __________ ___ _____.
__________ ____ _____ _____ __________ _____ ___ ____.
_________ ______ ___ ____ ____.
____ ___ ___ ____ ____.
_________ _________ ___ _____ __________ ________ __________.
_______ _________.
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