【摘 要】
：
The matrix elements along the reduction chain Sp(12,R)? SU(1,1)? SO(6)? U(1)? SUpn(3)? SO(2)? SO(3)of the proton-neutron symplectic model(PNSM)are considered.Closed analytical expressions are obtained for the matrix elements of the basic building blocks o
【机 构】
：
Joint Institute for Nuclear Research,Dubna,Russia
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The matrix elements along the reduction chain Sp(12,R)? SU(1,1)? SO(6)? U(1)? SUpn(3)? SO(2)? SO(3)of the proton-neutron symplectic model(PNSM)are considered.Closed analytical expressions are obtained for the matrix elements of the basic building blocks of the PNSM and the Sp(12,R)symplectic generators,allowing the computation of matrix elements of other physical operators as well.The computational technique developed in the present study generally provides us with the required algebraic tool for performing realistic symplectic-based shell-model calculations of nuclear collective excitations.Utilizing two simple examples,we illustrate the applica-tion of the theory.
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