Feasibility of perturbative generation of bound-states from resonances or virtual states
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866914808838750208 |
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| author | Yang, C. -J. |
| author_facet | Yang, C. -J. |
| contents | I investigate whether it is possible to generate bound-states from resonances or virtual states through first-order perturbation theory. Using contact-type potentials as those appeared in pionless effective field theory, I show that it is possible to obtain negative-energy states by sandwiching a next-to-leading order (NLO) interaction with the leading-order (LO) wavefunctions, under the presence of LO resonances or virtual states. However, at least under the framework of time-independent Schrödinger equation and Hermitian Hamiltonian, there is an inability to create bound-states with structure similar to those formed by the non-perturbative treatments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_05085 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Feasibility of perturbative generation of bound-states from resonances or virtual states Yang, C. -J. Nuclear Theory Quantum Physics I investigate whether it is possible to generate bound-states from resonances or virtual states through first-order perturbation theory. Using contact-type potentials as those appeared in pionless effective field theory, I show that it is possible to obtain negative-energy states by sandwiching a next-to-leading order (NLO) interaction with the leading-order (LO) wavefunctions, under the presence of LO resonances or virtual states. However, at least under the framework of time-independent Schrödinger equation and Hermitian Hamiltonian, there is an inability to create bound-states with structure similar to those formed by the non-perturbative treatments. |
| title | Feasibility of perturbative generation of bound-states from resonances or virtual states |
| topic | Nuclear Theory Quantum Physics |
| url | https://arxiv.org/abs/2312.05085 |