Polarization in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>Elastic Scattering

Drigo, L.; Manduchi, C.; Nardelli, Giuseppe; Russo-Manduchi, M.T.; Zannoni, G.

doi:10.1103/physrev.136.b1662

Cited by 15 publications

(4 citation statements)

References 7 publications

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“…We have applied the phase-shift data given in Refs. [29,30] (proton scattering) and Refs. [31,32] (neutron scattering) in this work.…”

Section: Determination Of the Anc From The Elastic Scattering Phase-s...mentioning

confidence: 99%

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Reexamination of the $β^+$ decay process of $^{13}\rm{N}$ nucleus

Irgaziev,

Nabi,

Kabir

2019

Preprint

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It is known from the scattering theory that the phase-shift of elastic collision does not provide a unique potential to describe the bound state of the twoparticle system. The bound state wave function is the most crucial input for various nuclear processes bearing astrophysical significance. In this paper, we emphasize on the important role of the asymptotic normalization coefficients for description of the 13 N −→ 13 C + β + + ν e reaction. Using experimental data of the elastic scattering phase-shift of proton and neutron on 12 C, we find the asymptotic normalization coefficients which determine the tail of the bound state wave functions. This allows us to modify the wave functions of 13 N and 13 C within the single-particle approach using the inverse scattering theory. These wave functions are used to determine the nuclear matrix element for calculation of the half-life and logf t values of β + decay of 13 N. The calculated values of the logf t and half-life are smaller than the measured values when the single-particle wave functions are employed. Using overlap functions, instead of single-particle functions, we obtain a better comparison. The overlap function is represented as the product of single-particle function and the corresponding spectroscopic factor.

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“…We have applied the phase-shift data given in Refs. [29,30] (proton scattering) and Refs. [31,32] (neutron scattering) in this work.…”

Section: Determination Of the Anc From The Elastic Scattering Phase-s...mentioning

confidence: 99%

“…We used the experimental data from Ref. [30] for fitting as well. From the Figures, we note that fitting with functions ( 43) and (45) allows us to describe the phase-shifts of elastic scattering in the low-energy region rather well.…”

Section: Determination Of the Anc From The Elastic Scattering Phase-s...mentioning

confidence: 99%

Reexamination of the $β^+$ decay process of $^{13}\rm{N}$ nucleus

Irgaziev,

Nabi,

Kabir

2019

Preprint

View full text Add to dashboard Cite

show abstract

“…[33][34][35] for n-12 C scattering and from Refs. [36][37][38][39][40][41] for p-12 C scattering, respectively. For both of these nuclei, we are able to reproduce the results presented in Ref.…”

Section: Phase-shiftsmentioning

confidence: 99%

“…In both of these figures we plot the phase shifts δ, in degrees, as a function of the laboratory energy E lab . In these figures solid, dotted-dotted-dashed, dotted, dashed and dotted-dashed lines represent the calculated s 1/2 , p 1/2 , p 3/2 , d 3/2 and d 5/2 phase shifts, respectively, whereas filled circles, upper triangles, square boxes, open circles and diamond boxes represent the corresponding experimental data taken from [33][34][35] for n- 12 C scattering and from [36][37][38][39][40][41] for p-12 C scattering, respectively. For both of these nuclei, we are able to reproduce the results presented in [5].…”

Section: Phase-shiftsmentioning

confidence: 99%