Abstract
For calculations involving the deuteron $S$-state wave function it is common to use the asymptotic form for a rough approximation and the ad hoc Hulthen form for a better estimate. The two parameters of the Hulth\'en function are determined by the deuteron binding energy and the singlet effective range. In like manner we propose an ad hoc analytic form for the $D$-state wave function, which contains two parameters which are determined by the deuteron quadrupole moment and $D$-state percentage. The resultant function coincides very closely with the functions obtained from several widely used potential models. Since the chief value of such an analytic wave function is to calculate matrix elements quickly and easily we explicitly calculate a form of integral that allows a large class of matrix elements to be evaluated immediately.NUCLEAR STRUCTURE $^{2}\mathrm{H}$$D$-state wave function, calculated electromagnetic moments.
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