New Treatment of Resonances with Bound State Approximation by Using Pseudo Potential

Details New Treatment of Resonances with Bound State Approximation by Using Pseudo Potential New Treatment of Resonances with Bound State Approximation by Using Pseudo Potential

2005-05-29

arxiv.org/abs/nucl-th/0505077v2

Prog.Theor.Phys. 115 (2006) 115-127

Physics

Nuclear Physics

Nuclear Theory

10pages, 2figures, submitted to Prog. Theor. Phys, changed content, added references

Scientific paper

10.1143/PTP.115.115

We propose a new approach to extract the wave functions of resonances by the bound state approximation which gives the mixed states of the resonance components and the continuum ones. In our approach, on the basis of the method of analytic continuation in the coupling constant (ACCC), we construct Pad\'e rational function by adopting the positive energies as well as the negative ones. We report the result of the application of this new method to the second $2^+$ state of $^{12}$C which was studied with the ACCC method in our previous work. It is found that the resonance parameters obtained by the ACCC method are well reproduced by the new method. Some advantages over the ACCC method are also shown.

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