| | |
| | |
Stat |
Members: 3645 Articles: 2'504'928 Articles rated: 2609
25 April 2024 |
|
| | | |
|
Article overview
| |
|
Expressions for the number of J=0 pairs in even-even Ti isotopes | L. Zamick
; A. Escuderos
; S.J. Lee
; A.Z. Mekjian
; E. Moya de Guerra
; A.A. Raduta
; P. Sarriguren
; | Date: |
27 Dec 2004 | Journal: | Phys.Rev. C71 (2005) 034317 DOI: 10.1103/PhysRevC.71.034317 | Subject: | nucl-th | Affiliation: | 1 and 2), S.J. Lee , A.Z. Mekjian , E. Moya de Guerra , A.A. Raduta and P. Sarriguren ( Rutgers University, Piscataway, NJ, USA, C.S.I.C., Madrid, Spain, Kyung Hee University, Suwon, KyungGiDo, Korea Bucharest University, Romania | Abstract: | We count the number of pairs in the single j-shell model of {44}Ti for various interactions. For a state of total angular momentum I, the wave function can be written in terms of the probability amplitude D(Jp Jn) that the protons couple to Jp and the neutrons to Jn. For I=0 there are three states with (I=0,T=0) and one with (I=0,T=2). The latter is the double analog of {44}Ca. In that case (T=2), the magnitude of D(JJ) is the same as that of a corresponding two-particle fractional parentage coefficient. In counting the number of pairs with an even angular momentum J, we find a new relationship obtained by diagonalizing a unitary nine-j symbol. We are also able to get results for the `no-interaction’ case for T=0 states, for which it is found, e.g., that there are less (J=1,T=0) pairs than on the average. Relative to this `no-interaction case’, we find for the most realistic interaction used that there is an enhancement of pairs with angular momentum J=0,2,1 and 7, and a depletion for the others. Also considered are interactions in which only the (J=0,T=1) pair state is at lower energy, only the (J=1,T=0) pair state is lowered and where both are equally lowered, as well as the QQ interaction. We are also able to obtain simplified formulae for the number of J=0 pairs for the I=0 states in {46}Ti and {48}Ti by noting that the unique state with isospin |Tz|+2 is orthogonal to all the states with isospin |Tz|. | Source: | arXiv, nucl-th/0501069 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |