dorsal/arxiv
View SchemaNew Treatment of Resonances with Bound State Approximation by Using Pseudo Potential
| Authors | Y. Funaki, H. Horiuchi, A. Tohsaki |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0505077 |
| URL | https://arxiv.org/abs/nucl-th/0505077 |
| DOI | 10.1143/PTP.115.115 |
| Journal | Prog.Theor.Phys. 115 (2006) 115-127 |
Abstract
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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"abstract": "We propose a new approach to extract the wave functions of resonances by the\nbound state approximation which gives the mixed states of the resonance\ncomponents and the continuum ones. In our approach, on the basis of the method\nof analytic continuation in the coupling constant (ACCC), we construct Pad\\\u0027e\nrational function by adopting the positive energies as well as the negative\nones. We report the result of the application of this new method to the second\n$2^+$ state of $^{12}$C which was studied with the ACCC method in our previous\nwork. It is found that the resonance parameters obtained by the ACCC method are\nwell reproduced by the new method. Some advantages over the ACCC method are\nalso shown.",
"arxiv_id": "nucl-th/0505077",
"authors": [
"Y. Funaki",
"H. Horiuchi",
"A. Tohsaki"
],
"categories": [
"nucl-th"
],
"doi": "10.1143/PTP.115.115",
"journal_ref": "Prog.Theor.Phys. 115 (2006) 115-127",
"title": "New Treatment of Resonances with Bound State Approximation by Using Pseudo Potential",
"url": "https://arxiv.org/abs/nucl-th/0505077"
},
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