Investigation of energy staggering effects in Thorium isotopes in framework of interacting vector Boson model

Khalaf, A. M.; Ahmed, G.S.M.; Abdelsalam, Asmaa; Allam, M.R.M.

doi:10.1016/j.nuclphysa.2019.05.007

Cited by 7 publications

(4 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this scenario, the model's parameters, 3 , , and ab  describe the ground state band, while 13 and  describe the octupole band. The Hermitian operator, N represents the total number of bosons, while 2 0 , and TT characterize the pseudospin, the quantum number that was introduced to distinguish between two types of vector bosons, which are the basic building blocks of the algebraic structure of the model.…”

Section: Ivbmmentioning

confidence: 99%

Comparative study between IVBM and IBM-2 models to calculate the energy levels for 162-16870Yb isotopes

Nasef,

Ellafi,

El-Kadi

2024

Nucl. Phys. At. Energy

View full text Add to dashboard Cite

This study uses the interaction vector boson model (IVBM) to identify negative parity band (NPB) energy levels in the 162-16870Yb isotopes series. Simultaneously, the interacting boson model-2 (IBM-2) and the IVBM model were used to determine the ground state band (GSB) energy levels of the same isotopes. The ratios RI/2 and R(I+2)/I are calculated and E-GOS (E-gamma over spin) curves are plotted to determine the properties of these nuclei in the GSB. The isotopes 16270Yb, 16470Yb, and 166-16870Yb have different symmetries. Studies have shown that the IVBM model is more consistent with experimental results than the IBM-2 model, especially at high energy levels. This study provides a valuable comparison of results from different models, improving our understanding of the energy levels and properties of these isotopes.

show abstract

Section: Ivbmmentioning

confidence: 99%

Comparative study between IVBM and IBM-2 models to calculate the energy levels for 162-16870Yb isotopes

Nasef,

Ellafi,

El-Kadi

2024

Nucl. Phys. At. Energy

View full text Add to dashboard Cite

show abstract

“…The ΔI = 2 stumbling effect has been studied in a variety of forms [26]. ΔI = 2 staggering has recently been found in the field bands of normally deformed (ND) nuclei, including Thorium nuclei [27].…”

Section: M Aziz Et Almentioning

confidence: 99%

“…The bandhead moments of inertia of each pair are almost equal, and the bulk of these signature partners have a significant amplitude. The ΔI=1 staggering phenomenon is studied between the energies of states in the ground and octupole bands in normally deformed nuclei [27].…”

Section: M Aziz Et Almentioning

confidence: 99%

The Behavior of Moments of Inertia and Energy Staggering in Superdeformed Nuclei.

Aziz

Okasha

Ahmed

2021

Al-Azhar Bulletin of Science

View full text Add to dashboard Cite

Three pairs of signature partners' transition energies of Thallium (Tℓ) odd mass superdeformed (SD) nuclei's (A ~ 191-195), were fitted with the experimental one using the Bohr-Mottelson four-parameter collective rotational model. We chose the Bohr-Mottelson four-parameter rotational energy formula because it has been reported that it has excellent compatibility with the γ-ray transition energies. The four model parameters were extracted using a suitable search program. Harris's method was used to calculate the superdeformed rotational bands' (SDRBs) bandhead spins. The values of the adopted parameters, which were obtained using a simulated fitting search software, were used to measure the rotational frequency, dynamic J (2) , and kinematic J (1) moments of inertia to the transition energies. When compared to the experimental values, there is a great deal of agreement J (2) and J (1) have been studied as a function of increasing rotational frequency. The suggested staggering function was used to investigate the ΔI= 1 energy staggering in Tℓ odd mass SD nuclei.

show abstract

“…The intrinsic structure and the bandhead moments of inertia of these signature partners are found to be almost identical. The ∆I = 1 staggering effect is also investigated in normal deformed nuclei between the energies of states of the ground and octapole bands [28].…”

Section: Introductionmentioning

confidence: 99%

Application of Suggested Three Parameters Collective Rotational Model to Superdeformed Thallium Odd-Mass Nuclei

Khalaf

Taha

Ismail

2022

J. Phys.: Conf. Ser.

Self Cite

View full text Add to dashboard Cite

The superdeformed rotational bands (SDRB’s) of axial symmetric Tl odd-A nuclei are described within the framework of the suggested model as an extended version of Bohr-Moltelson (BM) model. The suggested model has three parameters rather than the BM model’s two parameters. The model is employed to calculated the transition energies and therefore the unknown level spins within the three pairs of signature partners 191Tl (SD1, SD2), 193Tl (SD1, SD2) and 195Tl (SD1, SD2). The optimized model parameters and therefore the unknown spins for every band are adjusted by employing a computer simulated search program to induce a minimum root mean square deviation between the calculated theoretical and experimental transition energies Eγ (I). The most effective adopted model parameters and spins are wont to calculate the kinematic J (1) and dynamic J (2) moments of inertia, and rotational frequency ħω,. The calculated results agree excellently with the experimental ones. The behaviour of J (1) and J (2) with ħω is examined and discussed. Also, the calculated transition energies and spins are accustomed investigate and exhibit the ΔI = 1 staggering effects in transition energies between each pair of the signature partners. This can be done by considering three staggering indices looking on the dipole γ-transitions between the 2 bands of the signature partners and therefore the quadrupole γ-transitions within each band. All the studied three signature partner pairs showed an oversized amplitude staggering pattern. The ΔI = 1 energy staggering also appears within the transition energies after subtracting a rigid rotor reference when plotted versus spin. The phenomenon of identical bands (IB’s) is additionally investigated within the two pairs [193Tl (SD1), 195Tl (SD1)] and [193Tl (SD2), 195Tl (SD2)] by using the concept of incremental alignment.

show abstract

Investigation of energy staggering effects in Thorium isotopes in framework of interacting vector Boson model

Cited by 7 publications

References 22 publications

Comparative study between IVBM and IBM-2 models to calculate the energy levels for 162-16870Yb isotopes

Comparative study between IVBM and IBM-2 models to calculate the energy levels for 162-16870Yb isotopes

The Behavior of Moments of Inertia and Energy Staggering in Superdeformed Nuclei.

Application of Suggested Three Parameters Collective Rotational Model to Superdeformed Thallium Odd-Mass Nuclei

Contact Info

Product

Resources

About