Transition from vibrational to rotational character in low-lying states of hypernuclei

Transition from vibrational to rotational character in low-lying states of hypernuclei In order to clarify the nature of hypernuclear low-lying states, we carry out a comprehensive study of the structure of 00000.Λ145–155Sm hypernuclei, which exhibit a transition from vibrational to rotational character as the neutron number increases. To this end, we employ a microscopic particle-core coupling scheme based on a covariant density functional theory. We find that the positive-parity ground-state band in the hypernuclei shares a similar structure to that of the corresponding core nucleus. That is, regardless of whether the core nucleus is spherical or deformed, each hypernuclear state is dominated by the single configuration of the Λ particle in the s1/2 state (Λs1/2) coupled to one core state of the ground band. In contrast, the low-lying negative-parity states mainly consist of Λp1/2 and Λp3/2 configurations coupled to plural nuclear core states. We show that, while the mixing amplitude between these configurations is negligibly small in spherical and weakly deformed nuclei, it strongly increases as the core nucleus undergoes a transition to a well deformed shape, which is consistent with the Nilsson wave functions. We demonstrate that the structure of these negative-parity states with spin I can be well understood based on a naive LS coupling scheme, with total orbital angular momentum L=[I⊗1] and spin angular momentum S=1/2. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review C American Physical Society (APS)

Transition from vibrational to rotational character in low-lying states of hypernuclei

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Transition from vibrational to rotational character in low-lying states of hypernuclei

Abstract

In order to clarify the nature of hypernuclear low-lying states, we carry out a comprehensive study of the structure of 00000.Λ145–155Sm hypernuclei, which exhibit a transition from vibrational to rotational character as the neutron number increases. To this end, we employ a microscopic particle-core coupling scheme based on a covariant density functional theory. We find that the positive-parity ground-state band in the hypernuclei shares a similar structure to that of the corresponding core nucleus. That is, regardless of whether the core nucleus is spherical or deformed, each hypernuclear state is dominated by the single configuration of the Λ particle in the s1/2 state (Λs1/2) coupled to one core state of the ground band. In contrast, the low-lying negative-parity states mainly consist of Λp1/2 and Λp3/2 configurations coupled to plural nuclear core states. We show that, while the mixing amplitude between these configurations is negligibly small in spherical and weakly deformed nuclei, it strongly increases as the core nucleus undergoes a transition to a well deformed shape, which is consistent with the Nilsson wave functions. We demonstrate that the structure of these negative-parity states with spin I can be well understood based on a naive LS coupling scheme, with total orbital angular momentum L=[I⊗1] and spin angular momentum S=1/2.
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Publisher
The American Physical Society
Copyright
Copyright © ©2017 American Physical Society
ISSN
0556-2813
eISSN
1089-490X
D.O.I.
10.1103/PhysRevC.96.014308
Publisher site
See Article on Publisher Site

Abstract

In order to clarify the nature of hypernuclear low-lying states, we carry out a comprehensive study of the structure of 00000.Λ145–155Sm hypernuclei, which exhibit a transition from vibrational to rotational character as the neutron number increases. To this end, we employ a microscopic particle-core coupling scheme based on a covariant density functional theory. We find that the positive-parity ground-state band in the hypernuclei shares a similar structure to that of the corresponding core nucleus. That is, regardless of whether the core nucleus is spherical or deformed, each hypernuclear state is dominated by the single configuration of the Λ particle in the s1/2 state (Λs1/2) coupled to one core state of the ground band. In contrast, the low-lying negative-parity states mainly consist of Λp1/2 and Λp3/2 configurations coupled to plural nuclear core states. We show that, while the mixing amplitude between these configurations is negligibly small in spherical and weakly deformed nuclei, it strongly increases as the core nucleus undergoes a transition to a well deformed shape, which is consistent with the Nilsson wave functions. We demonstrate that the structure of these negative-parity states with spin I can be well understood based on a naive LS coupling scheme, with total orbital angular momentum L=[I⊗1] and spin angular momentum S=1/2.

Journal

Physical Review CAmerican Physical Society (APS)

Published: Jul 12, 2017

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