Energy spectra of vibron and cluster models in molecular and nuclear systems

Majarshin, A. Jalili; Sabri, H.; Jafarizadeh, M. A.

doi:10.1140/epja/i2018-12463-0

Cited by 10 publications

(18 citation statements)

References 68 publications

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“…algebraic structure which has been described in detail in, for istance, Refs. [13,14,30,31]. This is to say either…”

Section: Theoretical Methodsmentioning

confidence: 99%

“…and T 2bc = [bc][ bc] systems; and also that the quasi-spin algebras have been explained in detail in Refs. [13,[29][30][31]. By using Eqs.…”

Section: Theoretical Methodsmentioning

confidence: 99%

“…Our formalism and methods for masses of heavy tetraquarks are the same as the procedure in Ref. [14,30,31]. The representation (11) is totally symmetric, corresponding to the fact that the excitations (vibrations and rotations) are bosonic in nature.…”

Section: Theoretical Methodsmentioning

confidence: 99%

“…boson operators. We examine a similar Hamiltonian, based on SU (1, 1) algebraic technique [13,[29][30][31] and in a sl boson system to describe the masses of the [QQ][ Q Q] tetraquarks. Our predictions will provide a new solvable model in hadron physics.…”

Section: Introductionmentioning

confidence: 99%

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The bosonic algebraic approach applied to the $[QQ][\bar{Q}\bar{Q}]$ tetraquarks

Majarshin,

Luo,

Pan

et al. 2021

Preprint

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The exact eigenenergies of the T4c = [cc][cc], T 4b = [bb][ bb ], and T 2[bc] = [bc][ bc] tetraquarks are calculated within the extended transitional Hamiltonian approach, in which the so-called Bethe ansatz within an infinite-dimensional Lie algebra is used. We fit the parameters appearing in the transitional region from phenomenology associated with potential candidates of tetraquarks. The rotation and vibration transitional theory seems to provide a better description of heavy tetraquarks than other attempts within the same formalism. Our results indicate that the pairing strengths are large enough to provide binding; an extended comparison with the current literature is also performed.

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“…algebraic structure which has been described in detail in, for istance, Refs. [13,14,30,31]. This is to say either…”

Section: Theoretical Methodsmentioning

confidence: 99%

“…and T 2bc = [bc][ bc] systems; and also that the quasi-spin algebras have been explained in detail in Refs. [13,[29][30][31]. By using Eqs.…”

Section: Theoretical Methodsmentioning

confidence: 99%

Section: Theoretical Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The bosonic algebraic approach applied to the $[QQ][\bar{Q}\bar{Q}]$ tetraquarks

Majarshin,

Luo,

Pan

et al. 2021

Preprint

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“…With a dissociation of the single-particle states the ordering of the remaining states into K = 3/2 − and 3/2 + bands is obtained. The mass 13 nuclei is the subject of many shell-model calculations and its sources [17].…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Algebraic cluster models calculations for shape phase transitions of boson-fermion systems

Ghapanvari,

Amiri,

Jafarizadeh

2019

Preprint

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The Algebraic Cluster Model(ACM) is an interacting boson model that gives the relative motion of the cluster configurations in which all vibrational and rotational degrees of freedom are present from the outset. We schemed a solvable extended transitional Hamiltonian based on affine SU (1, 1) Lie algebra within the framework for two-, three-and four-body algebraic cluster models that explains both regions O(4) ↔ U (3), O(7) ↔ U (6) and O(10) ↔ U (9), respectively . We offer that this method can be used to study of kα + x nucleon structures with k = 2, 3,4 and x = 1, 2, . . . , in specific x = 1,2 such as structures 9 Be, 9 B, 10 B ; 13 C, 13 N , 14 N ; 17 O, 17 F . Numerical extraction to the energy levels, the expectation value of boson number operator and behavior of the overlap of the ground-state wave function within the control parameters of this evaluated Hamiltonian are presented. The effect of the coupling of the odd particle to an even-even boson core is discussed along the shape transition and, in particular, at the critical point.

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