Coupling between the center of mass and relative degrees of freedom in a relativistic quantum composite and applications
If we consider the nucleus as a relativistic composite, then we are able to derive from a many-particle Dirac model a coupling between the center of mass motion and internal nuclear degrees of freedom. This interaction can be rotated out in free space, but has the potential to give rise to new physi...
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| Format: | Article |
| Language: | English |
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International Society of Condensed Matter Nuclear Scientists (ISCMNS)
2019
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| Online Access: | https://hdl.handle.net/1721.1/122617 |
| _version_ | 1826203956150272000 |
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| author | Hagelstein, Peter L Chaudhary, Irfan U. |
| author2 | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
| author_facet | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Hagelstein, Peter L Chaudhary, Irfan U. |
| author_sort | Hagelstein, Peter L |
| collection | MIT |
| description | If we consider the nucleus as a relativistic composite, then we are able to derive from a many-particle Dirac model a coupling between the center of mass motion and internal nuclear degrees of freedom. This interaction can be rotated out in free space, but has the potential to give rise to new physics when two or more nuclei exchange phonons with a common vibrational mode. The simplest example of such a system is a homonuclear diatomic molecule in a frozen matrix, for which we are able to develop an expression for the second-order phonon-nuclear interaction that can result in a splitting of the nuclear energy levels as a result of excitation transfer between the nuclei. The phonon-nuclear coupling is an E1 interaction, so the low energy 6.237 keV E1 transition in ¹⁸¹Ta is special; this motivates an interest in molecular ¹⁸¹Ta₂ as a candidate for a Mössbauer experiment where the splitting might be observable. We also consider excitation transfer in the case of a macroscopic a Ta plate. Keywords: Down-conversion; Excitation transfer; Mössbauer effect; Phono-nuclear coupling |
| first_indexed | 2024-09-23T12:46:05Z |
| format | Article |
| id | mit-1721.1/122617 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:46:05Z |
| publishDate | 2019 |
| publisher | International Society of Condensed Matter Nuclear Scientists (ISCMNS) |
| record_format | dspace |
| spelling | mit-1721.1/1226172022-09-28T09:58:15Z Coupling between the center of mass and relative degrees of freedom in a relativistic quantum composite and applications Hagelstein, Peter L Chaudhary, Irfan U. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science If we consider the nucleus as a relativistic composite, then we are able to derive from a many-particle Dirac model a coupling between the center of mass motion and internal nuclear degrees of freedom. This interaction can be rotated out in free space, but has the potential to give rise to new physics when two or more nuclei exchange phonons with a common vibrational mode. The simplest example of such a system is a homonuclear diatomic molecule in a frozen matrix, for which we are able to develop an expression for the second-order phonon-nuclear interaction that can result in a splitting of the nuclear energy levels as a result of excitation transfer between the nuclei. The phonon-nuclear coupling is an E1 interaction, so the low energy 6.237 keV E1 transition in ¹⁸¹Ta is special; this motivates an interest in molecular ¹⁸¹Ta₂ as a candidate for a Mössbauer experiment where the splitting might be observable. We also consider excitation transfer in the case of a macroscopic a Ta plate. Keywords: Down-conversion; Excitation transfer; Mössbauer effect; Phono-nuclear coupling 2019-10-17T19:18:16Z 2019-10-17T19:18:16Z 2017 2019-10-10T14:22:20Z Article http://purl.org/eprint/type/ConferencePaper 2227-3123 https://hdl.handle.net/1721.1/122617 Hagelstein, Peter L. and Irfan U. Chaudhary. "Coupling between the Center of Mass and Relative Degrees of Freedom in a Relativistic Quantum Composite and Applications." Journal of Condensed Matter Nuclear Science 24 (2017): 114-122 © 2017 ISCMNS en http://coldfusioncommunity.net/wp-content/uploads/2018/08/114_JCMNS-Vol24.pdf Journal of Condensed Matter Nuclear Science Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf International Society of Condensed Matter Nuclear Scientists (ISCMNS) Prof. Hagelstein |
| spellingShingle | Hagelstein, Peter L Chaudhary, Irfan U. Coupling between the center of mass and relative degrees of freedom in a relativistic quantum composite and applications |
| title | Coupling between the center of mass and relative degrees of freedom in a relativistic quantum composite and applications |
| title_full | Coupling between the center of mass and relative degrees of freedom in a relativistic quantum composite and applications |
| title_fullStr | Coupling between the center of mass and relative degrees of freedom in a relativistic quantum composite and applications |
| title_full_unstemmed | Coupling between the center of mass and relative degrees of freedom in a relativistic quantum composite and applications |
| title_short | Coupling between the center of mass and relative degrees of freedom in a relativistic quantum composite and applications |
| title_sort | coupling between the center of mass and relative degrees of freedom in a relativistic quantum composite and applications |
| url | https://hdl.handle.net/1721.1/122617 |
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