The atomic nucleus of transitional area have complex nuclear shape and energy spectra, the research of the nuclear shape and energy spectra is far less sufficient than the research of the big deformed area. It's quite difficult to apply the strict shell model or the interactive boson model to these nucleus. Therefore, we put forward a way that we can project a good angle momentum from the deformed HF intrinsic state and a blend way of two bands to three kinds of even-even nucleus.As the projected energy is only be computed by numerical value integral, and the sum of integrated function is computed as a function of 9 by computer will consume a long time, so we adopt the Gauss approximation of the projected integal. In order to further simplify the compute of projected energy spectra, and to make the computed energy spectra according with the experimental energy spectra, we can reform the reference lightly. As the strict deformed configuration blending method will consume a lot of time ,we consider the approximate theory of two blending bands.In the computation, we use 40Ca as nuclear core, and we take 1f7/22p3/21f5/22p1/2 as value nucleus space. Taking the modified surface deltainteraction ( MSDI) and using a spherical shell model basis set, we carry out the deformed HF calculation in the fp space, and obtain the deformed HF intrinsic states, which are the Slater determinants constructing from the HF single-particle states. Comparing the computed energy spectra with the experimental energy spectra, we obtain a lot of information.The approximate angular momentum projected deformed Hartree-Fork (PDHF) Method and the configuration blending method is effective and useful ways, it make a foundation of the research to the bigger mass nucleus of transitional area. At the same time, we point out the further questions considered, and bring forward the future object.
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