On the impact of mass difference between the pions (π±-π0) and the nucleons (n-p) on the charge independence breaking of nuclear forces

Charge dependence of the pion-nucleon coupling constants and the 1S0-state low-energy nucleon-nucleon scattering parameters are studied on the basis of the Yukawa meson theory. The charge independence breaking effect in the pion-nucleon coupling constants is entirely explained by the mass difference...

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Main Authors: V. A. Babenko, N. M. Petrov
Format: Article
Language:English
Published: Institute for Nuclear Research, National Academy of Sciences of Ukraine 2017-08-01
Series:Ядерна фізика та енергетика
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Online Access:http://jnpae.kinr.kiev.ua/18.1/html/18.1.0013.html
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author V. A. Babenko
N. M. Petrov
author_facet V. A. Babenko
N. M. Petrov
author_sort V. A. Babenko
collection DOAJ
description Charge dependence of the pion-nucleon coupling constants and the 1S0-state low-energy nucleon-nucleon scattering parameters are studied on the basis of the Yukawa meson theory. The charge independence breaking effect in the pion-nucleon coupling constants is entirely explained by the mass difference between the charged and the neutral pions and by the mass difference between the proton and the neutron. Using of well-known pseudovector pion-nucleon coupling constant f 2ppπ0=0.0749(7), which characterize the proton-proton nuclear interaction, we calculate the charged f 2c=0.0802(7) and the neutral f 20=0.0750(7) pion-nucleon coupling constants, and also the pion-nucleon coupling constant f 2nnπ0=0.0751(7), which characterize the neutron-neutron nuclear interaction. With the help of the obtained coupling constants, we also calculate values of the low-energy np- and nn-scattering parameters, which appear to be in good agreement with the experiment.
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spelling doaj-art-8cd7632c1e104d6a84dbb280fff8922c2025-08-20T01:58:16ZengInstitute for Nuclear Research, National Academy of Sciences of UkraineЯдерна фізика та енергетика1818-331X2074-05652017-08-011811321On the impact of mass difference between the pions (π±-π0) and the nucleons (n-p) on the charge independence breaking of nuclear forcesV. A. Babenko0N. M. Petrov1Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine Charge dependence of the pion-nucleon coupling constants and the 1S0-state low-energy nucleon-nucleon scattering parameters are studied on the basis of the Yukawa meson theory. The charge independence breaking effect in the pion-nucleon coupling constants is entirely explained by the mass difference between the charged and the neutral pions and by the mass difference between the proton and the neutron. Using of well-known pseudovector pion-nucleon coupling constant f 2ppπ0=0.0749(7), which characterize the proton-proton nuclear interaction, we calculate the charged f 2c=0.0802(7) and the neutral f 20=0.0750(7) pion-nucleon coupling constants, and also the pion-nucleon coupling constant f 2nnπ0=0.0751(7), which characterize the neutron-neutron nuclear interaction. With the help of the obtained coupling constants, we also calculate values of the low-energy np- and nn-scattering parameters, which appear to be in good agreement with the experiment.http://jnpae.kinr.kiev.ua/18.1/html/18.1.0013.htmlcharge independencepion-nucleon coupling constantnucleon-nucleon scatteringpion
spellingShingle V. A. Babenko
N. M. Petrov
On the impact of mass difference between the pions (π±-π0) and the nucleons (n-p) on the charge independence breaking of nuclear forces
Ядерна фізика та енергетика
charge independence
pion-nucleon coupling constant
nucleon-nucleon scattering
pion
title On the impact of mass difference between the pions (π±-π0) and the nucleons (n-p) on the charge independence breaking of nuclear forces
title_full On the impact of mass difference between the pions (π±-π0) and the nucleons (n-p) on the charge independence breaking of nuclear forces
title_fullStr On the impact of mass difference between the pions (π±-π0) and the nucleons (n-p) on the charge independence breaking of nuclear forces
title_full_unstemmed On the impact of mass difference between the pions (π±-π0) and the nucleons (n-p) on the charge independence breaking of nuclear forces
title_short On the impact of mass difference between the pions (π±-π0) and the nucleons (n-p) on the charge independence breaking of nuclear forces
title_sort on the impact of mass difference between the pions π π0 and the nucleons n p on the charge independence breaking of nuclear forces
topic charge independence
pion-nucleon coupling constant
nucleon-nucleon scattering
pion
url http://jnpae.kinr.kiev.ua/18.1/html/18.1.0013.html
work_keys_str_mv AT vababenko ontheimpactofmassdifferencebetweenthepionspp0andthenucleonsnponthechargeindependencebreakingofnuclearforces
AT nmpetrov ontheimpactofmassdifferencebetweenthepionspp0andthenucleonsnponthechargeindependencebreakingofnuclearforces