Particle tunneling and scattering in a three-dimensional potential with a hard core and an external potential barrier
The non-relativistic particle tunneling and scattering through a spherical three-dimensional potential barrier (either rectangular, or Coulomb repulsion), containing a spherical potential rectangular well with a hard core inside, had been studied. The explicit analytical expressions for the S-matrix...
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| Format: | Article |
| Language: | English |
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Institute for Nuclear Research, National Academy of Sciences of Ukraine
2009-09-01
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| Series: | Ядерна фізика та енергетика |
| Subjects: | |
| Online Access: | http://jnpae.kinr.kiev.ua/10.3/Articles_PDF/jnpae-2009-10-0273-Olkhovsky.pdf |
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| _version_ | 1850257807912206336 |
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| author | V. S. Olkhovsky M. V. Romaniuk |
| author_facet | V. S. Olkhovsky M. V. Romaniuk |
| author_sort | V. S. Olkhovsky |
| collection | DOAJ |
| description | The non-relativistic particle tunneling and scattering through a spherical three-dimensional potential barrier (either rectangular, or Coulomb repulsion), containing a spherical potential rectangular well with a hard core inside, had been studied. The explicit analytical expressions for the S-matrix of elastic scattering and all probability amplitudes (external and internal reflections, tunneling inside and tunneling outside) for zero angular momentum and for relations between them had been firstly obtained. In conclusion, unlike to the typical simplified one-dimensional approximation, utilized for low-energy astrophysical nuclear-fusion reactions, we underline the necessity to consider the three-dimensional picture which brings to the multiple internal reflections from internal barrier wall and also to the more strict penetration factor. |
| format | Article |
| id | doaj-art-401ed08ea3da4de4bdc41269195f40bd |
| institution | OA Journals |
| issn | 1818-331X 2074-0565 |
| language | English |
| publishDate | 2009-09-01 |
| publisher | Institute for Nuclear Research, National Academy of Sciences of Ukraine |
| record_format | Article |
| series | Ядерна фізика та енергетика |
| spelling | doaj-art-401ed08ea3da4de4bdc41269195f40bd2025-08-20T01:56:19ZengInstitute for Nuclear Research, National Academy of Sciences of UkraineЯдерна фізика та енергетика1818-331X2074-05652009-09-01103273281Particle tunneling and scattering in a three-dimensional potential with a hard core and an external potential barrierV. S. Olkhovsky0M. V. Romaniuk1Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, UkraineInstitute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, UkraineThe non-relativistic particle tunneling and scattering through a spherical three-dimensional potential barrier (either rectangular, or Coulomb repulsion), containing a spherical potential rectangular well with a hard core inside, had been studied. The explicit analytical expressions for the S-matrix of elastic scattering and all probability amplitudes (external and internal reflections, tunneling inside and tunneling outside) for zero angular momentum and for relations between them had been firstly obtained. In conclusion, unlike to the typical simplified one-dimensional approximation, utilized for low-energy astrophysical nuclear-fusion reactions, we underline the necessity to consider the three-dimensional picture which brings to the multiple internal reflections from internal barrier wall and also to the more strict penetration factor.http://jnpae.kinr.kiev.ua/10.3/Articles_PDF/jnpae-2009-10-0273-Olkhovsky.pdfthree-dimensional tunnelingscatteringbarrierpotential wellhard core. |
| spellingShingle | V. S. Olkhovsky M. V. Romaniuk Particle tunneling and scattering in a three-dimensional potential with a hard core and an external potential barrier Ядерна фізика та енергетика three-dimensional tunneling scattering barrier potential well hard core. |
| title | Particle tunneling and scattering in a three-dimensional potential with a hard core and an external potential barrier |
| title_full | Particle tunneling and scattering in a three-dimensional potential with a hard core and an external potential barrier |
| title_fullStr | Particle tunneling and scattering in a three-dimensional potential with a hard core and an external potential barrier |
| title_full_unstemmed | Particle tunneling and scattering in a three-dimensional potential with a hard core and an external potential barrier |
| title_short | Particle tunneling and scattering in a three-dimensional potential with a hard core and an external potential barrier |
| title_sort | particle tunneling and scattering in a three dimensional potential with a hard core and an external potential barrier |
| topic | three-dimensional tunneling scattering barrier potential well hard core. |
| url | http://jnpae.kinr.kiev.ua/10.3/Articles_PDF/jnpae-2009-10-0273-Olkhovsky.pdf |
| work_keys_str_mv | AT vsolkhovsky particletunnelingandscatteringinathreedimensionalpotentialwithahardcoreandanexternalpotentialbarrier AT mvromaniuk particletunnelingandscatteringinathreedimensionalpotentialwithahardcoreandanexternalpotentialbarrier |