Determination of low-energy parameters of neutron-proton scattering on the basis of modern experimental data from partial-wave analyses

Бабенко, В. А.; Petrov, N. M.

doi:10.1134/s1063778807040072

Cited by 13 publications

(12 citation statements)

References 34 publications

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“…Calculated further in such a way, by using the obtained parameters (30) of the Yukawa potential (24), the values of the singlet np scattering length a np and the effective range r np for the proposed model a np = −23.4(4) fm , r np = 2.70(5) fm (32) agree well with the experimental values [35,36,40,41] a expt np = −23.715(8) fm , r expt np = 2.71(7) fm .…”

supporting

confidence: 66%

Study of the charge dependence of the pion–nucleon coupling constant on the basis of data on low-energy nucleon–nucleon interactions

Бабенко

Petrov

2016

Phys. Atom. Nuclei

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The simple model describing charge independence and charge symmetry breaking of the pionnucleon coupling constant is proposed. The model, which has simple physical meaning and foundation, suggests directly proportional dependence of the pion-nucleon coupling constants on the masses of interacting nucleons and pions. Charge dependence of the pion-nucleon coupling constant and the 1 S 0 -state low-energy nucleon-nucleon (NN) scattering parameters are studied on the basis of the Yukawa meson theory. The values of the np and nn interaction characteristics calculated by the proposed model agree quite well with the experimental data.

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supporting

confidence: 66%

Study of the charge dependence of the pion–nucleon coupling constant on the basis of data on low-energy nucleon–nucleon interactions

Бабенко

Petrov

2016

Phys. Atom. Nuclei

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“…We know [1][2][3] that, unfortunately, no accurate quantitative description of the nucleonnucleon system can be obtained with the Yukawa potential as soon as its parameters are defined and selected using fundamental quantities of the field theory the pion masses and coupling constants. Therefore, in this paper the parameters of the Yukawa potential are assigned values consistent with the measured parameters of low-energy nucleon-nucleon scattering in the effective range theory [1,4,[37][38][39][40][41][42][43][44].…”

Section: ]mentioning

confidence: 83%

“…(40) for pseudovector coupling constants. Formula (44) first attracted attention in [5,14], but in these analyses it was treated as an accidental coincidence which has no physical meaning. In our analysis, Eqs.…”

Section: Coupling Constant and Of The Pion Massmentioning

confidence: 99%

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Relation between the charged and neutral pion–nucleon coupling constants in the Yukawa model

Бабенко

Petrov

2017

Phys. Part. Nuclei Lett.

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In the Yukawa model for nuclear forces, a simple relation between the charged and neutral pion-nucleon coupling constants is derived. The relation implies that the charged pion-nucleon coupling constant is larger than the neutral one since the np interaction is stronger than the pp interaction. The derived value of the charged pion-nucleon constant shows a very good agreement with one of the recent experimental values. The relative splitting between the charged and neutral pion-nucleon coupling constants is predicted to be practically the same as that between the charged and neutral pion masses. The charge dependence of the NN scattering length arising from the mass difference between the charged and neutral pions is also analyzed.

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“…The quoted empirical values for the np 1 S 0 parameters are the ones which are most frequently used in the literature, see Refs. [93,116] and references therein for more details. For the pp 1 S 0 parameters, we show the recommended values from the partial wave analysis of Ref.…”

Section: F Effective Range Parametersmentioning

confidence: 99%

Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order

2018

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We introduce new semilocal two-nucleon potentials up to fifth order in the chiral expansion. We employ a simple regularization approach for the pion-exchange contributions which (i) maintains the long-range part of the interaction, (ii) is implemented in momentum space and (iii) can be straightforwardly applied to regularize many-body forces and current operators. We discuss in detail the two-nucleon contact interactions at fourth order and demonstrate that three terms out of fifteen used in previous calculations can be eliminated via suitably chosen unitary transformations. The removal of the redundant contact terms results in a drastic simplification of the fits to scattering data and leads to interactions which are much softer (i.e. more perturbative) than our recent semilocal coordinate-space regularized potentials. Using the pion-nucleon low-energy constants from matching pion-nucleon Roy-Steiner equations to chiral perturbation theory, we perform a comprehensive analysis of nucleon-nucleon scattering and the deuteron properties up to fifth chiral order and study the impact of the leading F-wave two-nucleon contact interactions which appear at sixth order. The resulting chiral potentials lead to an outstanding description of the proton-proton and neutron-proton scattering data from the self-consistent Granada-2013 database below the pion production threshold, which is significantly better than for any other chiral potential. For the first time, the chiral potentials match in precision and even outperform the available high-precision phenomenological potentials, while the number of adjustable parameters is, at the same time, reduced by about ∼ 40%. Last but not least, we perform a detailed error analysis and, in particular, quantify for the first time the statistical uncertainties of the fourth-and the considered sixth-order contact interactions.

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Determination of low-energy parameters of neutron-proton scattering on the basis of modern experimental data from partial-wave analyses

Cited by 13 publications

References 34 publications

Study of the charge dependence of the pion–nucleon coupling constant on the basis of data on low-energy nucleon–nucleon interactions

Study of the charge dependence of the pion–nucleon coupling constant on the basis of data on low-energy nucleon–nucleon interactions

Relation between the charged and neutral pion–nucleon coupling constants in the Yukawa model

Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order

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