Determination of neutron-neutron scattering length from the nd-breakup reaction: Experimental and theoretical aspects

Konobeevsky, E. S.; Kukulin, V. I.; Mordovskoi, M. V.; Pomerantsev, V. N.; Potashev, S. I.; Rubtsova, O. A.; Сергеев, В. А.; Zuev, S. V.; Sharapov, I. M.

doi:10.3103/s1062873811040265

Cited by 3 publications

(2 citation statements)

References 13 publications

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“…It has to be mentioned here that the alternative value for a nn , which was discussed in [11,12], is 16.2fm (15.8fm). Taking this value, we have revised the adjustment procedure described above.…”

Section: Potential Adjustmentmentioning

confidence: 99%

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Nd breakup within isospinless AAB model

Filikhin¹,

Suslov²,

Vlahović³

2019

J. Phys. G: Nucl. Part. Phys.

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The three-nucleon system (ppn or nnp) may be considered as a system of identical particles within a framework of the isospin formalism (AAA model). Here we propose to treat the system as a system with only two identical particles as a natural way to take into account the charge dependence of the nucleon–nucleon (NN) interaction. We apply the ‘given charge formalism’ to formulate the ‘isospinless’ AAB model. The charge independence breaking effect for Nd scattering is modeled by using a phenomenological adjustment for s-wave NN potential. The modeling is based on the configuration space Faddeev equations. Calculations of the phase shifts, inelasticities, and breakup amplitudes are performed for nd and pd scattering at different energies for both AAA and AAB models. It has found that the numerical differences between the results obtained with these two models are relatively small (about 1%), however, noticeable. In this regard, we consider the numerical accuracy of the calculations and in particular the effect of oscillations of the phase shifts and inelasticities that depend on the asymptotic cutoff parameter. The choice of the cutoff parameter is performed to minimize the impact of oscillations on the accuracy for the phenomenological (MT I–III) and realistic (AV14) potentials.

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Section: Potential Adjustmentmentioning

confidence: 99%

“…It has to be noted that measurements for the singlet nn scattering length meet difficulties [8,9]. One can find different values for a nn in the literature [10][11][12][13][14][15]. The 'recommended' value for the nn scattering length a nn is based on recent studies of three-nucleon systems [16]: a nn = 18.95±0.40 fm.…”

Section: Introductionmentioning

confidence: 99%

Nd breakup within isospinless AAB model

Filikhin¹,

Suslov²,

Vlahović³

2019

J. Phys. G: Nucl. Part. Phys.

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Measurement of the S01 neutron-neutron effective range in neutron-deuteron breakup

Malone

Crowell²,

Cumberbatch³

et al. 2022

Physics Letters B

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Low-energy parameters of neutron-neutron interaction in the effective-range approximation

Бабенко¹,

Petrov²

2013

Phys. Atom. Nuclei

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The influence of the mass difference between the charged and neutral pions on the low-energy characteristics of nucleon-nucleon interaction in the 1 S 0 spin-singlet state is studied within the framework of the effective-range approximation. By making use of the experimental singlet neutron-proton scattering parameters and the experimental value of neutron-neutron virtualstate energy, the following values were obtained for the neutron-neutron scattering length and effective range: a nn = −16.59(117) fm, r nn = 2.83(11) fm. The calculated neutron-neutron scattering length a nn is in good agreement with one of the two well known and differing experimental values of this quantity, and the calculated effective range r nn is also in good agreement with present-day experimental results.

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Determination of neutron-neutron scattering length from the nd-breakup reaction: Experimental and theoretical aspects

Cited by 3 publications

References 13 publications

Nd breakup within isospinless AAB model

Nd breakup within isospinless AAB model

Measurement of the S01 neutron-neutron effective range in neutron-deuteron breakup

Low-energy parameters of neutron-neutron interaction in the effective-range approximation

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