Test of the Charge Symmetry Hypothesis of NN Interaction from the Coulomb-Free p–p Scattering Cross Section and Its Relation to Universality - Archive ouverte HAL
Article Dans Une Revue Few Body Syst. Année : 2025

Test of the Charge Symmetry Hypothesis of NN Interaction from the Coulomb-Free p–p Scattering Cross Section and Its Relation to Universality

Aurora Tumino
  • Fonction : Auteur
Alejandro Kievsky
  • Fonction : Auteur
Giuseppe Rapisarda
  • Fonction : Auteur
Marco La Cognata
  • Fonction : Auteur
Alessandro A Oliva
  • Fonction : Auteur
Carlos Bertulani
  • Fonction : Auteur
Giuseppe D’agata
  • Fonction : Auteur
Giovanni L Guardo
  • Fonction : Auteur
Livio Lamia
  • Fonction : Auteur
Dario Lattuada
  • Fonction : Auteur
Rosario G Pizzone
  • Fonction : Auteur
Stefano Romano
  • Fonction : Auteur
Maria L Sergi
  • Fonction : Auteur
Roberta Spartà
  • Fonction : Auteur
Michele Viviani
  • Fonction : Auteur

Résumé

We examine the results on the determination of the Coulomb-free $^{1}S_0$ proton–proton (p–p) scattering length by analyzing the cross section of the quasi-free p + d $\rightarrow $ p + p + n reaction at center-of-mass energies below 1 MeV. This was achieved using a Bayesian data-fitting approach, yielding a p–p scattering length $a_{pp} = -18.17^{+0.52}_{-0.58}|_{stat}\pm 0.01_{syst}$ fm and effective range $r_0 = 2.80\pm 0.05_{stat}\pm 0.001_{syst}$ fm. We test the stability of the results against the upper energy cutoff and fitting data sets separately. A model based on the Eckart potential is introduced for an effective description in the universal window. In this model, the short-range interaction is considered as a whole, similar to how the s-wave phase-shift $\delta $ functions in describing low-energy nucleon–nucleon scattering data. Based on our analysis, we confirm that the obtained parameters accurately represent the characteristics of the short-range physics and the influence of the up-down quark mass difference on the charge symmetry breaking is less significant as initially anticipated. Additionally, we suggest evaluating the charge symmetry breaking of the short-range interaction rather than solely focusing on the nuclear interaction.
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Dates et versions

hal-04846574 , version 1 (18-12-2024)

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Citer

Aurora Tumino, Alejandro Kievsky, Giuseppe Rapisarda, Marco La Cognata, Alessandro A Oliva, et al.. Test of the Charge Symmetry Hypothesis of NN Interaction from the Coulomb-Free p–p Scattering Cross Section and Its Relation to Universality. Few Body Syst., 2025, 66 (1), pp.5. ⟨10.1007/s00601-024-01975-5⟩. ⟨hal-04846574⟩
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