Interacting boson-fermion model of collective states I, the Spin (6) limit

Iachello, F.; Kuyucak, Serdar

doi:10.1016/0003-4916(81)90085-3

Cited by 117 publications

(47 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Similar to that of electrons orbiting in an atom, protons and neutrons in a nucleus generate shell structures, but different from the atomic systems, the corresponding nuclear magic numbers are found to be 2,8,20,28,50, and 82 for both protons and neutrons as well as 126 for neutrons in stable nuclei. In order to understand these magic numbers, simple models, such as the square-well or harmonic-oscillator (HO) potential, are not able to provide satisfactory answers.…”

Section: Introductionmentioning

confidence: 85%

See 1 more Smart Citation

Pseudospin symmetry in nuclear structure and its supersymmetric representation

Liang¹

2016

Phys. Scr.

View full text Add to dashboard Cite

The quasi-degeneracy between the single-particle states (n, l, j = l + 1/2) and (n − 1, l + 2, j = l + 3/2) indicates a special and hidden symmetry in atomic nuclei-the so-called pseudospin symmetry (PSS)-which is an important concept in both spherical and deformed nuclei. A number of phenomena in nuclear structure have been successfully interpreted directly or implicitly by this symmetry, including nuclear superdeformed configurations, identical bands, quantized alignment, pseudospin partner bands, and so on. Since the PSS was recognized as a relativistic symmetry in 1990s, there have been comprehensive efforts to understand its properties in various systems and potentials. In this Review, we mainly focus on the latest progress on the supersymmetric (SUSY) representation of PSS, and one of the key targets is to understand its symmetry-breaking mechanism in realistic nuclei in a quantitative and perturbative way. The SUSY quantum mechanics and its applications to the SU(2) and U(3) symmetries of the Dirac Hamiltonian are discussed in detail. It is shown that the origin of PSS and its symmetry-breaking mechanism, which are deeply hidden in the origin Hamiltonian, can be traced by its SUSY partner Hamiltonian. Essential open questions, such as the SUSY representation of PSS in the deformed system, are pointed out.

show abstract

Section: Introductionmentioning

confidence: 85%

“…Based on this concept, a simple but useful pseudo-SU(3) model was proposed, and it was generalized to be the pseudo-symplectic model [16,17,18,19]. The concept of pseudospin symmetry has been also widely used in the odd-mass nuclei in the interacting Boson-Fermion model [20].…”

Section: Introductionmentioning

confidence: 99%

Pseudospin symmetry in nuclear structure and its supersymmetric representation

Liang¹

2016

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…we then say that the representation is irreducible and that the ψ i 's are a basis for an irreducible representation of G. The form (38) would imply that two subsets of the l ψ i 's transform only among themselves under the action of G = (R).…”

Section: Eigenfunctions and Representationsmentioning

confidence: 99%

“…The first example discussed in the literature [3,38] is the case of bosons with SO(6) symmetry and the odd nucleon occupying a single-particle orbit with spin j = 3/2. The relevant group chains are…”

Section: Dynamical Symmetries In Odd-a Nucleimentioning

confidence: 99%

An Introduction to Nuclear Supersymmetry: A Unification Scheme for Nuclei

Frank¹,

Barea²,

Bijker³

2004

The Hispalensis Lectures on Nuclear Physics Vol. 2

View full text Add to dashboard Cite

Summary. The main ideas behind nuclear supersymmetry are presented, starting from the basic concepts of symmetry and the methods of group theory in physics. We propose new, more stringent experimental tests that probe the supersymmetry classification in nuclei and point out that specific correlations should exist for particle transfer intensities among supersymmetric partners. We also discuss possible ways to generalize these ideas to cases where no dynamical symmetries are present. The combination of these theoretical and experimental studies may play a unifying role in nuclear phenomena.

show abstract

“…There are three, and only three group reductions that can be constructed, is represented by the U (5) ,SU (3) and O(6) chains corresponding to three different illustrations of nuclear collective quadruple motion. [9] ____________________ Japan, [10].…”

Section: Introductionmentioning

confidence: 99%

A TOTAL STUDY OF Zn 68-70 (EVEN-EVEN) ISOTOPES

Alkhafajy¹,

Eabbas²

2017

AJR

View full text Add to dashboard Cite

Abstract:In this research the nuclear structure for isotope( 68-70 Zn ) have been studied using the Interaction Boson Model (IBM-1), this nucleus was determined depending on the practical available values and calculating energy levels In addition to the electric transition probabilities and potential Energy Surface using IBMP-Code in U(5)-O(6) and U(5). The results obtained from this study showed a good agreement with practical values. The current study has shown that the 70 Zn nucleus belongs to the vibration limit different with the 68 Zn, which has characteristics between vibrational limit and -unstable limit depending on the results of energy levels. Contour lines and axillary symmetries, which have been drown, were confirmed that there is no nuclear deformation but vibrations around the position of balance.

show abstract

Interacting boson-fermion model of collective states I, the Spin (6) limit

Cited by 117 publications

References 25 publications

Pseudospin symmetry in nuclear structure and its supersymmetric representation

Pseudospin symmetry in nuclear structure and its supersymmetric representation

An Introduction to Nuclear Supersymmetry: A Unification Scheme for Nuclei

A TOTAL STUDY OF Zn 68-70 (EVEN-EVEN) ISOTOPES

Contact Info

Product

Resources

About