Scattering cross section for various potential systems

Odsuren, M.; Katō, Kiyoshi; Khuukhenkhuu, G.; Davaa, S.

doi:10.1016/j.net.2017.04.007

Cited by 9 publications

(5 citation statements)

References 14 publications

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“…These are utilised to obtain differential and total scattering cross-sections (SCS) and are matched with the experiments. While R-matrix [12], S-matrix [13], complex scaling method (CSM) [14], etc rely on the wavefunction to obtain the SPS, phase function method (PFM) [15] directly utilises the model potential in the phase equation to solve for SPS. The PFM was utilised by Zhaba [16] to study nucleon-nucleon scattering and by Laha et al [8] for study of nucleon-nucleus and nucleus-nucleus interactions.…”

Section: Introductionmentioning

confidence: 99%

Inverse potentials for all ℓ channels of neutron-proton scattering using reference potential approach

et al. 2023

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Reference potential approach (RPA) is successful in obtaining inverse potentials for weakly bound diatomic molecules using Morse function. In this work, our goal is to construct inverse potentials for all available l-channels of np-scattering using RPA. The Riccati-type phase equations for various l-channels are solved using 5th order Runge-Kutta method to obtain scattering phase shifts (SPS) in tandem with an optimization procedure to minimize mean squared error (MSE). Interaction potentials for a total of 18 states have been constructed using only three parameter Morse interaction model. The obtained MSE is < 1% for 1S0, 3P1 and 3D1 channels and < 2% for 1P1 channel and < 0.1% for rest of the 14 channels. The obtained total scattering cross-sections at various lab energies are found to be matching well with experimental ones. Our complete study of np-scattering for all l-channels using RPA using Morse function as zeroth reference, is being undertaken for the ﬁrst time.

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Section: Introductionmentioning

confidence: 99%

Inverse potentials for all ℓ channels of neutron-proton scattering using reference potential approach

et al. 2023

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“…Thus, we compare our constructed interaction potentials with those obtained using various phenomenological potentials. Originally, Ali-Bodmer [9], Buck [10] and Odsuren [6] utilized an erf() function to model the Coulomb interaction,…”

Section: Introductionmentioning

confidence: 99%

“…One of the most difficult problems for theoretical physicists is acquiring an accurate understanding of scattering involving a charged projectile and a charged target due to the indefinitely long range of Coulomb interaction [1]. Inadvertently, microscopic theories such as phenomenological potential models used in R-matrix [5], complex scaling method [6], phase function method [7,8], and others face mathematical difficulties in including Coulomb effect in a rigorous manner. As a result, they use screened Coulomb potentials to simulate the often observed condition, in which an isolated charge is generally surrounded by residual particles due to polarization.…”

Section: Introductionmentioning

confidence: 99%

Constructing Inverse Scattering Potentials for α-α System using Physics Informed Machine Learning

sastri,

Sharma,

Awasthi

2023

Preprint

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An accurate way to incorporate long-range Coulomb interaction alongside short-range nuclear interaction remains challenging for theoretical physicists till date. Machine learning algorithms for global optimization, with physics equations guiding the process, are able to obtain robust models from available experimental data. In this article, we utilize the phase equation, which requires only potential and scattering energies as inputs, to obtain scattering phase shifts for the alpha-alpha system to construct the inverse potentials for its S, D, and G states. By incorporating the phase equation within an iterative loop of optimization code, mean absolute percentage error(MAPE) is minimized to obtain the best model parameters for a chosen reference potential. The key to successfully incorporating Coulomb interaction is in designing a reference potential. Here, a combination of two smoothly joined Morse functions, one regular followed by an inverted one, is considered. While the former takes care of short-range nuclear and Coulomb interactions, the latter accounts for expected barrier height due to the long-range Coulomb part that dominates once nuclear interaction subsides. The constructed inverse potentials for S, D, and G states have resulted in MAPE of 0.9, 0.5, and 0.4 and resonances(experimental) at 0.1240(0.0918), 2.95(3.03), and 11.89(11.35) respectively.

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“…The nuclear models can contain quasistationary or virtual states of nuclei, as well as their excited states located on the complex energy plane close to the real physical region of existence of the nuclei [3][4][5][6][7]. Nuclear models not only focused on the description of nuclear structures and reactions, but also considered nuclear fission and nuclear decay.…”

Section: Introductionmentioning

confidence: 99%

Scattering Phase Shifts of Lithium Isotopes

Myagmarjav

Khuukhenkhuu²,

Saikhanbayar³

et al. 2022

ijmph

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Investigation of few body cluster systems is very important in nuclear physics. Problems appearing in few body systems can in principle be divided into two classes: bound state problems and scattering problems. The bound state problems are usually related to the spectroscopy of such systems while scattering problems describe their reactions. The main focus in the work is the scattering problem for systems consisting of two cluster systems. The single channel two body scattering problem is considered in the framework of different spin parity states for lithium isotopes.Scattering phase shifts on negative and positive parity states of 5 Li, 6 Li and 7 Li nuclei are calculated applying two-body 𝛼𝛼𝛼𝛼 + 𝑝𝑝𝑝𝑝, 𝛼𝛼𝛼𝛼 + 𝑑𝑑𝑑𝑑 and 𝛼𝛼𝛼𝛼 + 𝑡𝑡𝑡𝑡 systems and the complex scaling method. 6 Li and 7 Li are stable nuclei and their ground and low-lying excited states are considered in this work.In this study, we calculated scattering phase shifts of the negative parity 𝐽𝐽𝐽𝐽 𝜋𝜋𝜋𝜋 = 3/2 − and 𝐽𝐽𝐽𝐽 𝜋𝜋𝜋𝜋 = 1/2 − states for 𝑝𝑝𝑝𝑝 −wave of 5 Li, 𝐽𝐽𝐽𝐽 𝜋𝜋𝜋𝜋 = 7/2 − , 5/2 − , 3/2 − and 1/2 − states for 𝑝𝑝𝑝𝑝 − and 𝑓𝑓𝑓𝑓 −waves of 7 Li and the positive parity 𝐽𝐽𝐽𝐽 𝜋𝜋𝜋𝜋 = 1 + , 2 + , 3 + states for 𝑠𝑠𝑠𝑠 − and 𝑑𝑑𝑑𝑑 − waves of 6 Li.

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Scattering cross section for various potential systems

Cited by 9 publications

References 14 publications

Inverse potentials for all ℓ channels of neutron-proton scattering using reference potential approach

Inverse potentials for all ℓ channels of neutron-proton scattering using reference potential approach

Constructing Inverse Scattering Potentials for α-α System using Physics Informed Machine Learning

Scattering Phase Shifts of Lithium Isotopes

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