Oscillator parameters in nuclei

Kirson, Michael W.

doi:10.1016/j.nuclphysa.2006.10.077

Cited by 20 publications

(19 citation statements)

References 11 publications

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“…With r 0 being fixed, they come out to be larger and for most cases overestimate the experimental values, especially the calculation with the SWV parametrization where the radii of the potential are scaled as A 1/3 instead of (A−1) 1/3 . However, within the BM m parametrization the calculated charge radii for 22 Mg, 34 Cl and 38 Ca are somewhat lower than the experimental values. The numerical result of this calculation is reported in Table II.…”

Section: V3 Surface Termsmentioning

confidence: 63%

“…We obtained this term using harmonic oscillator wave functions (more details of the formalism can be found in Ref. [38]). The symbols n ′ and l ′ stand for the radial and orbital angular momentum quantum numbers of the highest filled level of the core, b c and A c are the oscillator parameter and the mass number, respectively, of the closed-shell nucleus.…”

Section: V2 Charge Radius Calculationmentioning

confidence: 99%

“…The radiative corrections are separated into three parts [2] : ∆ V R = 2.361 (38)% is nucleus independent, δ ′ R depend on the atomic number of daughter nucleus and δ N S is nuclear-structure dependent. The correction due to the isospin-symmetry breaking, δ C , is defined as the deviation of the realistic Fermi matrix element squared from its isospin-symmetry value,…”

Section: Introductionmentioning

confidence: 99%

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Radial overlap correction to superallowed 0+→0+ β decay reexamined

Xayavong

Smirnova

2018

Phys. Rev. C

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Within the nuclear shell model, we investigate the correction δRO to the Fermi matrix element due to a mismatch between proton and neutron single-particle radial wave functions. Eight superallowed 0 + → 0 + β decays in the sd-shell, comprised of 22 Mg, 26m Al, 26 Si, 30 S, 34 Cl, 34 Ar, 38m K and 38 Ca are re-examined. The radial wave functions are obtained from a spherical Woods-Saxon potential whose parametrizations are optimized in a consistent adjustment of the depth and the length parameter to relevant experimental observables, such as nucleon separation energies and charge radii, respectively. The chosen fit strategy eliminates the strong dependence of the radial mismatch correction to a specific parametrization, except for calculations with an additional surface-peaked term. As an improvement, our model proposes a new way to calculate the charge radii, based on a parentage expansion which accounts for correlations beyond the extreme independent-particle model. Apart from the calculations with a surface-peak term and the cases where we used a different model space, the new sets of δRO are in general agreement with the earlier result of Towner and Hardy [1]. Small differences of the corrected average Ft value are observed.

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Section: V3 Surface Termsmentioning

confidence: 63%

Section: V2 Charge Radius Calculationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Radial overlap correction to superallowed 0+→0+ β decay reexamined

Xayavong

Smirnova

2018

Phys. Rev. C

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“…l represents the angular momentum, L l+ 1 2 n is the associated Laguerre polynomial [39], and the length parameter b = ( c) 2 mc 2 ω where m is the mass of the considered particles (nucleons) and ω is the oscillator frequency. The simplest shell-model should have the overall size of nucleus through the scale of this parameter and it is related to the number density of nucleons or equivalently for ω = 45A − 1 3 −25A − 2 3 according to the equilibrium density A of the even-even nucleus [40].…”

Section: A Variational and Modified Hartree-fock Wave Functionmentioning

confidence: 99%

“…With total spin operator S and the meson function J(r), using (S.P ) 2 = (S.n) 2 P 2 , (σ i .σ j ) = 2 2 S 2 − 3 and S.L = 2 2 [J(J + 1) − L(L + 1) − S(S + 1)] [46]. Quantum mechanics have a magnificent tool, this tool is the harmonic oscillator which is capable of being solved in closed form, it has generally useful approximations and exact solutions of different problems [40]. It solves the differential equations in quantum mechanics.…”

Section: Appendix B: the Derivation Of Obep Through The Exchange Of Tmentioning

confidence: 99%

The Ground-State Calculations for Some Nuclei by Mesonic Potential of Nucleon-Nucleon Interaction

Hanna

Sewailem

Hussien

et al. 2020

Advances in High Energy Physics

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The interaction of Nucleon-Nucleon (N N ) has certain physical characteristics, which indicated by nucleon, and meson degrees of freedom. The main purpose of this work is calculating the ground state energies of 2 1 H and 4 2 He through the two-body system with the exchange of mesons (π, σ, ω) that mediated between two nucleons. This paper investigates NN interaction based on the quasirelativistic decoupled Dirac equation and self-consistent Hartree-Fock formulation. We construct one-boson exchange potential (OBEP) model, where each nucleon is treated as a Dirac particle and acts as a source of pseudoscalar, scalar, and vector fields. The potential in the present work is analytically derived with two static functions of meson, the single particle energy dependent(SPED) and generalized Yukawa (GY) functions, the parameters used in meson functions are just published ones (mass, coupling constant,and cut off parameters). The theoretical results are compared to other theoretical models and their corresponding experimental data, one can see that the SPED function gives more satisfied agreement than the GY function in case of the considered nuclei.

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Nobile¹

2021

The Theory of Direct Dark Matter Detection

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Oscillator parameters in nuclei

Cited by 20 publications

References 11 publications

Radial overlap correction to superallowed 0+→0+ β decay reexamined

Radial overlap correction to superallowed 0+→0+ β decay reexamined

The Ground-State Calculations for Some Nuclei by Mesonic Potential of Nucleon-Nucleon Interaction

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