Shifted Deng-Fan potential and cluster structure in 19Ne

Sajedi, Marzieh; Kargar, Z.

doi:10.1016/j.nuclphysa.2021.122314

Cited by 4 publications

(6 citation statements)

References 51 publications

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“…Our phase shift calculation has been accomplished by two different standard methods: (i) by using the Jost function method (JFM) applying equation (26) in combination with equations ( 21) and ( 25) and (ii) by the PFM [32]. Phase shift calculations by both the methods are portrayed in figures 1 and 2 for comparison between the two methods.…”

Section: Resultsmentioning

confidence: 99%

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Jost states for the Deng-Fan potential

Saha¹,

Khirali²,

Swain³

et al. 2022

Phys. Scr.

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Deng-Fan Potential is well known in describing diatomic molecular energy spectra and electromagnetic transitions. An irregular solution for the Deng-Fan potential is constructed by adapting the differential equation approach to the problem. The Jost function thus obtained is applied to find bound state energies and the scattering phase shifts for nuclear systems. Also phase function method has been applied in parallel with that of Jost function technique for similar investigation. Results show close agreement with the experimental ones. Exploiting the phase parameters the elastic scattering cross sections have been estimated.

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Section: Resultsmentioning

confidence: 99%

“…Equations ( 21) and (26) will be exploited to compute phase parameters for nuclear systems. The phase shift for any quantum mechanical system can be calculated by judicious use of the Phase Function Method (PFM) [32,[37][38][39]…”

Section: Jost Function and Phase Shift Calculationmentioning

confidence: 99%

Jost states for the Deng-Fan potential

Saha¹,

Khirali²,

Swain³

et al. 2022

Phys. Scr.

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“…A potential model calculation of energy shifts between levels in the mirror nuclei 19 Ne, 19 F shows an interesting change of sign if one considers single-particle states or cluster states; such behavior, which seems to be present also in the experimental data, could represent a new way to probe the single-particle versus cluster nature of a given state. Finally, in a recent theoretical work [561] the shifted Deng-Fan potential was used to reproduce the rotational bands with α+ 15 O cluster structure; in the frame of this local cluster potential model, the calculated lifetimes for the 7/2 − and 9/2 − states at 4.14 and 4.20 MeV (14.3 and 35.8 fs, respectively), involved in the 15 O(α, γ ) 19 Ne reaction, agree well with experimental data.…”

Section: Clustering In Proton-rich Ne Isotopesmentioning

confidence: 86%

Clusters in light nuclei: history and recent developments

Lombardo,

Dell’Aquila

2023

Riv. Nuovo Cim.

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In this review, we discuss recent advancements in the study of clustering phenomena occurring in light nuclei, and their influence on nuclear structure, dynamics, and astrophysics. In the introduction, we outline the historical steps leading to the concept of $$\alpha $$ α -clusterization in nuclei and provide a comprehensive description of the evolution of nuclear models capable to describe clustering aspects in nuclear systems and of the main experiments and discoveries leading to the development of this research field. We also describe some spectroscopic techniques that are used to establish the clustered nature of a given nuclear state. Some relevant experimental and theoretical findings recently reported both in experimental and theoretical works are discussed in the text. We put emphasis on recent achievements and remaining problems in the description of the structure of light isotopes, from helium to neon, including both self- and non-self-conjugate nuclei. Particular attention to the implication in the nuclear astrophysics context and to clustering effects in the dynamics of nuclear reactions is pursued all along the review.

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“…Similar investigations with PFM have been made by authors treating the local [28][29][30][31][32][33][34] and nonlocal [35][36][37] potentials. With the Shifted Deng Fan (SDF) [23][24][25] potential in all partial wave treatment, we incorporate a screened centrifugal barrier which is repulsive term. Thus, with a modified form of SDF potential [26], the effective potential becomes…”

Section: Methodsmentioning

confidence: 99%

“…All of above works [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] pertains to molecular spectroscopy and molecular dynamics. Within the framework of the shifted Deng Fan potential (SDF), Sajedi [25] studied the cluster structure of astrophysically important 19 Ne nucleus. In recent past, working with the exponential class of potentials, our group obtained exact analytical solution of the elastic Deng Fan potential [26] scattering of a particle in S-wave and obtained the phase parameters using the Jost function methodology for the systems under consideration in the nuclear realm.…”

Section: Introductionmentioning

confidence: 99%

Nucleon-Nucleon Elastic Scattering for Motion in The Shifted Deng-Fan Potential

Khirali,

Laha,

Swain

et al. 2023

East Eur. J. Phys.

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The scattering theory's main objective is to comprehend an object by hurling something at it. One can learn details about an object by observing how it bounces off other objects. The potential that exists between the two particles is the thing that one seeks to comprehend. In time-independent approach to scattering, one assumes that the incident beam has been activated for a very long time and that the entire system is in a stationary state. For short-range local potentials, the variable phase methodology is highly useful in solving quantum mechanical scattering problems. Variable phase methodology/phase-function technique has been explicitly utilized for non-relativistic nucleon-nucleon scattering phenomenon with the fundamental central local potential term and without spin-orbit force. Working under this methodology, scattering phase shifts, total scattering cross section and Differential cross section have been investigated for a new nuclear potential model “Shifted Deng-Fan potential”. Real nucleon-nucleon scattering systems (n-p) and (p-p) have been treated for this purpose with partial waves up to l = 2 in the low and moderate energy region. For l > 0 waves, interacting repulsive barrier potential has been incorporated with the existing central part. Our results for the considered potential model show a close contest with that of the experimental data.

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Shifted Deng-Fan potential and cluster structure in 19Ne

Cited by 4 publications

References 51 publications

Jost states for the Deng-Fan potential

Jost states for the Deng-Fan potential

Clusters in light nuclei: history and recent developments

Nucleon-Nucleon Elastic Scattering for Motion in The Shifted Deng-Fan Potential

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