Nonuniversal bound states of two identical heavy fermions and one light particle
We study the behavior of the bound-state energy of a system consisting of two identical heavy fermions of mass M and a light particle of mass m. The heavy fermions interact with the light particle through a short-range two-body potential with positive s-wave scattering length a[subscript s]. We impo...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/88741 |
| _version_ | 1826199035995750400 |
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| author | Rittenhouse, Seth Blume, D. Sadeghpour, H. Safavi-Naini, Arghavan |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Rittenhouse, Seth Blume, D. Sadeghpour, H. Safavi-Naini, Arghavan |
| author_sort | Rittenhouse, Seth |
| collection | MIT |
| description | We study the behavior of the bound-state energy of a system consisting of two identical heavy fermions of mass M and a light particle of mass m. The heavy fermions interact with the light particle through a short-range two-body potential with positive s-wave scattering length a[subscript s]. We impose a short-range boundary condition on the logarithmic derivative of the hyperradial wave function and show that, in the regime where Efimov states are absent, a nonuniversal three-body state cuts through the universal three-body states previously described by Kartavtsev and Malykh [O. I. Kartavtsev and A. V. Malykh, J. Phys. B 40, 1429 (2007)]. The presence of the nonuniversal state alters the behavior of the universal states in certain regions of the parameter space. We show that the existence of the nonuniversal state is predicted accurately by a simple quantum defect theory model that utilizes hyperspherical coordinates. An empirical two-state model is employed to quantify the coupling of the nonuniversal state to the universal states. |
| first_indexed | 2024-09-23T11:13:24Z |
| format | Article |
| id | mit-1721.1/88741 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:13:24Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/887412022-10-01T02:09:46Z Nonuniversal bound states of two identical heavy fermions and one light particle Rittenhouse, Seth Blume, D. Sadeghpour, H. Safavi-Naini, Arghavan Massachusetts Institute of Technology. Department of Physics Safavi-Naini, Arghavan We study the behavior of the bound-state energy of a system consisting of two identical heavy fermions of mass M and a light particle of mass m. The heavy fermions interact with the light particle through a short-range two-body potential with positive s-wave scattering length a[subscript s]. We impose a short-range boundary condition on the logarithmic derivative of the hyperradial wave function and show that, in the regime where Efimov states are absent, a nonuniversal three-body state cuts through the universal three-body states previously described by Kartavtsev and Malykh [O. I. Kartavtsev and A. V. Malykh, J. Phys. B 40, 1429 (2007)]. The presence of the nonuniversal state alters the behavior of the universal states in certain regions of the parameter space. We show that the existence of the nonuniversal state is predicted accurately by a simple quantum defect theory model that utilizes hyperspherical coordinates. An empirical two-state model is employed to quantify the coupling of the nonuniversal state to the universal states. National Science Foundation (U.S.) 2014-08-18T13:46:41Z 2014-08-18T13:46:41Z 2013-03 2013-01 Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/88741 Safavi-Naini, A., Seth Rittenhous, D. Blume, and H. Sadeghpour. "Nonuniversal bound states of two identical heavy fermions and one light particle." Phys. Rev. A 87, 032713 (March 2013). © 2013 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevA.87.032713 Physical Review A 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 American Physical Society American Physical Society |
| spellingShingle | Rittenhouse, Seth Blume, D. Sadeghpour, H. Safavi-Naini, Arghavan Nonuniversal bound states of two identical heavy fermions and one light particle |
| title | Nonuniversal bound states of two identical heavy fermions and one light particle |
| title_full | Nonuniversal bound states of two identical heavy fermions and one light particle |
| title_fullStr | Nonuniversal bound states of two identical heavy fermions and one light particle |
| title_full_unstemmed | Nonuniversal bound states of two identical heavy fermions and one light particle |
| title_short | Nonuniversal bound states of two identical heavy fermions and one light particle |
| title_sort | nonuniversal bound states of two identical heavy fermions and one light particle |
| url | http://hdl.handle.net/1721.1/88741 |
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