A study on the ground and excited states of hypernuclei

Pal, S.; Ghosh, Rina; Chakrabarti, Bikas K.; Bhattacharya, A.

doi:10.1088/1402-4896/ab6796

Cited by 3 publications

(3 citation statements)

References 103 publications

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“…We utilize the QFT and PUR ground state binding energies of -hypernuclei to calculate these values. We estimated our theoretical for the ground state of heavy -hypernuclei using the ideal reduced mass parameter and the potential parameters 𝑉 0 and 𝑞 0 , and compared it to theoretical and experimental evidence from [14][15][16][17][18].…”

Section: Resultsmentioning

confidence: 99%

Ʌ-Hypernuclear States as Dihadronic Molecules

Jahanshir

2023

Atom Indo.

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The study of exotic hypernuclei attracts a great deal of interest in nuclear physics. The reality of heavy hyperon hypernuclei is the subject of intense concern among theoreticians and experimenters in recent years. The core-hyperon model uses to explain abnormal nuclei spectra, recent observations of new exotic heavy hyperon hypernuclei cannot be explained or predicted by ordinary heavy core nuclei. These exotic hypernuclei states are a two-cluster bound states. We calculate the mass spectrum and constituent mass of particles in hypernuclei using the relativistic Schrödinger equation with molecular pseudoharmonic-type potential between particles inside the core and hyperon. Such calculations represent the interaction between the hyperon and the nuclei core. I review recent theoretical studies on the ground states and the excited states of hypernuclei bound states. Finally, we present explicit predictions of the exotic bound states based on the interactions obtained from quantum field theory and the projective unitary representation model. Studies have shown that by increasing the mass number of hyperon-core states, the value of the constituent mass and energy eigenvalue of Ʌ-hypernucleus increases. Also, by growing and increasing the proton number in the (Ʌ-N) states the value of the constituent mass of Ʌ-hyperon increases.

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Section: Resultsmentioning

confidence: 99%

Ʌ-Hypernuclear States as Dihadronic Molecules

Jahanshir

2023

Atom Indo.

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“…Bhowmick et al [37] predicted the single-and double-Λ separation energies for the ground and excited states of several hypernuclei using the Relativistic Mean Field (RMF) formalism. Pal et al [38,39] studied the binding energies in the ground and excited states of different single Λ and double-Λ hypernuclei in the light to heavy mass region within the framework of the non-relativistic Schr𝑜 ¨dinger equation. A Hulth𝑒 ´n type of core-hyperon screening potential was used for their calculation.…”

Section: Introductionmentioning

confidence: 99%

Onset of the bound states in strange Λ, Ξ-hypernuclei and hyperspherical three-body model calculation for the corresponding double hyperon hypernuclei

Alam

Mondal

Hasan

et al. 2022

J. Phys.: Conf. Ser.

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In this work, we have explored ground state properties of 10 Λ Λ Be hypernucleus in the light of recent observation of the experiment J-PARC E07 and the onset of stability for 10 Λ Ξ Be hypernucleus in the three-body framework using Hyperspherical Harmonics Expansion (HHE) method. An effective core-Y (Y= Λ, Ξ) Woods-Saxon potential with adjustable depth parameter is used to reproduce the observed ground state energy of the two-body subsystem by solving the two-body Schrödinger equation. The core-Y potential so obtained is clubbed with the YY potential model of the Nijmegen group to obtain the observables of the double-hyperon hypernuclei. Computed YY separation energy and YY bond energy are compared with the data available in the literature.

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“…Further, it is common to assume the single Λ-hypernuclei as a Λ-core binary system. The binding energies of the ground [6,7] and first excited [7] states of various single Λ-hypernuclei recently were calculated in the non-relativistic approach by solving the Schrödinger equation for the Λ-core system with the Hulthén potential [8]. In addition, the binding energies of the ground and excited states and the root mean square (RMS) radii of several single Λ-hypernuclei were estimated in relativistic form using Woods-Saxon potential [9] under spin symmetry by the hyperon-core model [10].…”

Section: Introductionsmentioning

confidence: 99%

The Λ-core model for studying the binding energies of Λ-hypernuclei under pseudo-spin symmetry using the Hellmann potential

Nia

Shojaei

2022

Jonra

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We have studied the binding energies of a group of single Λ-hypernuclei in a relativistic approach and modeled the single Λ-hypernuclei as a Λ-core binary system. Since the Hellmann potential is ideal for defining nucleon-core interaction and the single Λ-hypernuclei can be assumed as a single nucleon coupled to the whole nuclei but does not suffer from Pauli blocking, we have selected this potential for interaction between the Λ particle and the core. The time-independent Dirac equation is a reasonable option for defining the relativistic bound states corresponding to a spin-1/2 Λ hyperon in the hypernuclei. We solved this equation by using the Hellmann potential under the presence of pseudo-spin symmetry in terms of the generalized parametric Nikiforov-Uvarov method, a way to make the application of the Nikiforov-Uvarov method as plain as possible. Our results were in good agreement with experimental values and other theoretical works. Hence, this model applies to the Λ-hypernuclei.

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A study on the ground and excited states of hypernuclei

Cited by 3 publications

References 103 publications

Ʌ-Hypernuclear States as Dihadronic Molecules

Ʌ-Hypernuclear States as Dihadronic Molecules

Onset of the bound states in strange Λ, Ξ-hypernuclei and hyperspherical three-body model calculation for the corresponding double hyperon hypernuclei

The Λ-core model for studying the binding energies of Λ-hypernuclei under pseudo-spin symmetry using the Hellmann potential

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