dor_id: 4108234

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650.#.4.x: Físico Matemáticas y Ciencias de la Tierra

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856.4.0.u: https://rmf.smf.mx/ojs/rmf/article/view/Vol.%2066%2C%20issue%201%2C%20pp.%2082-90/4747; https://rmf.smf.mx/ojs/rmf/article/downloadSuppFile/Vol.%2066%2C%20issue%201%2C%20pp.%2082-90/669

100.1.#.a: Gupta, R.; Malik, S. Sunde

100.1.#.u: Funded by Department of Atomic Energy (Government of India) and Department of Science and Technology (Government of India).

524.#.#.a: Gupta, R., et al. (2020). Single particle spectrum of a nucleon in the harmonic oscillator mean field with spin-orbit coupling - a semiclassical view. Revista Mexicana de Física; Vol 66, No 1 Jan-Feb: 82-90. Recuperado de https://repositorio.unam.mx/contenidos/4108234

245.1.0.a: Single particle spectrum of a nucleon in the harmonic oscillator mean field with spin-orbit coupling - a semiclassical view

502.#.#.c: Universidad Nacional Autónoma de México

561.1.#.a: Facultad de Ciencias, UNAM

264.#.0.c: 2020

264.#.1.c: 2020-01-01

653.#.#.a: Semiclassical Methods, Periodic Orbit Theory; Trace formula; Spherical cavity.

506.1.#.a: La titularidad de los derechos patrimoniales de esta obra pertenece a las instituciones editoras. Su uso se rige por una licencia Creative Commons BY-NC-ND 4.0 Internacional, https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.es, fecha de asignación de la licencia 2020-01-01, para un uso diferente consultar al responsable jurídico del repositorio por medio de rmf@ciencias.unam.mx

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001.#.#.#: oai:ojs.rmf.smf.mx:article/4425

041.#.7.h: eng

520.3.#.a: We have presented the single particle spectrum for a particle in a mean field of isotropic harmonic oscillator with l.s  coupling based on our semiclassical approach. It has been seen that this spectrum, without l.s  coupling, exactly matches with the quantum mechanical one (without nuclear constraints). In this case, periodicity conditions give only pendulating orbits coinciding with l=0 axis, which fully support the observations reported by Bohr and Mottelson [28]. The orbits with l>0 are generated by reflecting the particle from the nuclear surface, instead of infinity, which is the usual nuclear constraint. The mean field strength is fixed by virial theorem. The resulting spectrum compares reasonably with the quantum spectrum for a particle enclosed in a perfectly reflecting walls. The variation of particle number with energy help us to identify the significant quantum numbers n and l in this semiclassical method. Finally, the l.s coupling splits each level and the splitting width of these level compares well with that of nuclear splitting. Thus the complete nuclear shell model (with magic numbers) is reproduced without any fitting parameter.

773.1.#.t: Revista Mexicana de Física; Vol 66, No 1 Jan-Feb (2020): 82-90

773.1.#.o: https://rmf.smf.mx/ojs/rmf/index

046.#.#.j: 2020-11-25 00:00:00.000000

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310.#.#.a: Bimestral

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doi: https://doi.org/10.31349/RevMexFis.66.82

handle: 217e132448f6a75e

harvesting_date: 2020-09-23 00:00:00.0

856.#.0.q: application/pdf

last_modified: 2020-11-27 00:00:00

license_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.es

license_type: by-nc-nd

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Artículo

Single particle spectrum of a nucleon in the harmonic oscillator mean field with spin-orbit coupling - a semiclassical view

Gupta, R.; Malik, S. Sunde

Facultad de Ciencias, UNAM, publicado en Revista Mexicana de Física, y cosechado de Revistas UNAM

Licencia de uso

Procedencia del contenido

Entidad o dependencia
Facultad de Ciencias, UNAM
Revista
Repositorio
Contacto
Revistas UNAM. Dirección General de Publicaciones y Fomento Editorial, UNAM en revistas@unam.mx

Cita

Gupta, R., et al. (2020). Single particle spectrum of a nucleon in the harmonic oscillator mean field with spin-orbit coupling - a semiclassical view. Revista Mexicana de Física; Vol 66, No 1 Jan-Feb: 82-90. Recuperado de https://repositorio.unam.mx/contenidos/4108234

Descripción del recurso

Autor(es)
Gupta, R.; Malik, S. Sunde
Adscripción del autor
Funded by Department of Atomic Energy (Government of India) and Department of Science and Technology (Government of India).
Tipo
Artículo de Investigación
Área del conocimiento
Físico Matemáticas y Ciencias de la Tierra
Título
Single particle spectrum of a nucleon in the harmonic oscillator mean field with spin-orbit coupling - a semiclassical view
Fecha
2020-01-01
Resumen
We have presented the single particle spectrum for a particle in a mean field of isotropic harmonic oscillator with l.s  coupling based on our semiclassical approach. It has been seen that this spectrum, without l.s  coupling, exactly matches with the quantum mechanical one (without nuclear constraints). In this case, periodicity conditions give only pendulating orbits coinciding with l=0 axis, which fully support the observations reported by Bohr and Mottelson [28]. The orbits with l>0 are generated by reflecting the particle from the nuclear surface, instead of infinity, which is the usual nuclear constraint. The mean field strength is fixed by virial theorem. The resulting spectrum compares reasonably with the quantum spectrum for a particle enclosed in a perfectly reflecting walls. The variation of particle number with energy help us to identify the significant quantum numbers n and l in this semiclassical method. Finally, the l.s coupling splits each level and the splitting width of these level compares well with that of nuclear splitting. Thus the complete nuclear shell model (with magic numbers) is reproduced without any fitting parameter.
Tema
Semiclassical Methods, Periodic Orbit Theory; Trace formula; Spherical cavity.
Idioma
eng
ISSN
2683-2224 (digital); 0035-001X (impresa)

Enlaces