Some algebraic structures for the bosonic three-level systems

被引：5
作者：
Hammad, M. M. [1 ]
Fawaz, S. M. [2 ]
El-Hammamy, M. N. [2 ]
Motaweh, H. A. [2 ]
Doma, S. B. [3 ]
机构：
[1] Damanhour Univ, Fac Sci, Math Dept, Damanhour, Egypt
[2] Damanhour Univ, Fac Sci, Phys Dept, Damanhour, Egypt
[3] Alexandria Univ, Fac Sci, Math Dept, Alexandria, Egypt
来源：
JOURNAL OF PHYSICS COMMUNICATIONS | 2018年 / 2卷 / 08期
关键词：
dynamical symmetry; interacting boson model; quasi-spin algebras; pairing interactions;
D O I：
10.1088/2399-6528/aad064
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A simple systematic procedure to construct the three-level unitary and orthogonal algebras which appear in the bosonic three -level pairing models and for arbitrary choice of level degeneracies is presented. We draw attention to the existence of the three types of dynamical symmetry. The new analytical expressions of the energies are derived. The results presented show very clearly the duality between orthogonal algebras and the quasi-spin algebras for the three-level system with pairing interactions. The seniority selection rules of the transition operators in three level boson system are given. Illustrative calculations are carried out for U-21 algebra.
引用
收藏
页数：11
相关论文
共 39 条
  • [1] NEW SYMMETRY IN SD BOSON MODEL OF NUCLEI - GROUP O(6)
    ARIMA, A
    IACHELLO, F
    [J]. PHYSICAL REVIEW LETTERS, 1978, 40 (06) : 385 - 387
  • [2] INTERACTING BOSON MODEL OF COLLECTIVE NUCLEAR-STATES .4. O(6) LIMIT
    ARIMA, A
    IACHELLO, F
    [J]. ANNALS OF PHYSICS, 1979, 123 (02) : 468 - 492
  • [3] INTERACTING BOSON MODEL OF COLLECTIVE NUCLEAR STATES .2. ROTATIONAL LIMIT
    ARIMA, A
    IACHELLO, F
    [J]. ANNALS OF PHYSICS, 1978, 111 (01) : 201 - 238
  • [4] INTERACTING BOSON MODEL OF COLLECTIVE STATES .1. VIBRATIONAL LIMIT
    ARIMA, A
    IACHELLO, F
    [J]. ANNALS OF PHYSICS, 1976, 99 (02) : 253 - 317
  • [5] GENERALIZED SENIORITY AND SURFACE DELTA INTERACTION
    ARVIEU, R
    MOSZKOWSKI, SA
    [J]. PHYSICAL REVIEW, 1966, 145 (03): : 830 - +
  • [6] Proxy-SU(3) symmetry in heavy deformed nuclei
    Bonatsos, Dennis
    Assimakis, I. E.
    Minkov, N.
    Martinou, Andriana
    Cakirli, R. B.
    Casten, R. F.
    Blaum, K.
    [J]. PHYSICAL REVIEW C, 2017, 95 (06)
  • [7] Analytic predictions for nuclear shapes, prolate dominance, and the prolate-oblate shape transition in the proxy-SU(3) model
    Bonatsos, Dennis
    Assimakis, I. E.
    Minkov, N.
    Martinou, Andriana
    Sarantopoulou, S.
    Cakirli, R. B.
    Casten, R. F.
    Blaum, K.
    [J]. PHYSICAL REVIEW C, 2017, 95 (06)
  • [8] Configuration mixing in the sdg interacting boson model
    Bouldjedri, A
    Van Isacker, P
    Zerguine, S
    [J]. JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 2005, 31 (11) : 1329 - 1343
  • [9] Excited state quantum phase transitions in many-body systems
    Caprio, M. A.
    Cejnar, P.
    Iachello, F.
    [J]. ANNALS OF PHYSICS, 2008, 323 (05) : 1106 - 1135
  • [10] Dual algebraic structures for the two-level pairing model
    Caprio, M. A.
    Skrabacz, J. H.
    Iachello, F.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (07)
1234