Sigma-term update

Gasser, J.; Leutwyler, H.; Sainio, M.E.

doi:10.1016/0370-2693(91)91393-a

Cited by 854 publications

(978 citation statements)

References 57 publications

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“…We accept the conventional value σ N = 45 MeV [9] which is in agreement with the latest result σ N ≈ 44 MeV [18]. All calculations are carried out for symmetric nuclear matter, i.e.…”

Section: Introductionsupporting

confidence: 89%

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Three nucleon forces in nuclear matter in QCD sum rules

2017

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We calculate the single-particle nucleon characteristics in symmetric nuclear matter with inclusion of the 3N interactions. The contributions of the 3N forces to nucleon self energies are expressed in terms of the nonlocal scalar condensate (d = 3) and of the configuration of the four-quark condensates (d = 6) in which two daiquiri operators act on two different nucleons of the matter. The most important part of the contribution of the four-quark condensate is calculated in a model-independent way. We employed a relativistic quark model of nucleon for calculation of the rest part. The density dependence of the vector and scalar nucleon self energies and of the single-particle potential energy are obtained. Estimations on contributions of the 4N forces to the nucleon self energies are made.

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“…We accept the conventional value σ N = 45 MeV [9] which is in agreement with the latest result σ N ≈ 44 MeV [18]. All calculations are carried out for symmetric nuclear matter, i.e.…”

Section: Introductionsupporting

confidence: 89%

“…In its version presented in [9] the valence quarks are described by the functions ψ u = ψ d = ψ with …”

Section: Pseudoscalar Axial and Tensor Channelsmentioning

confidence: 99%

Three nucleon forces in nuclear matter in QCD sum rules

2017

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“…is indeed consistent with −1, for typical values of the nucleon sigma term σ N and the current quark masses m u,d , and around nuclear matter saturation density where ρ s ≃ ρ (as an example, take σ N ≃ 50 MeV [28] and m u +m d ≃ 12 MeV [26] at a scale of 1GeV). One should note of course that the QCD sum rule constraints implied by (29)- (30) and by the ratio (34) are not very accurate at a quantitative level.…”

Section: Qcd Constraintssupporting

confidence: 76%

Relativistic nuclear model with point-couplings constrained by QCD and chiral symmetry

et al. 2004

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We derive a microscopic relativistic point-coupling model of nuclear many-body dynamics constrained by in-medium QCD sum rules and chiral symmetry. The effective Lagrangian is characterized by density dependent coupling strengths, determined by chiral one-and two-pion exchange and by QCD sum rule constraints for the large isoscalar nucleon self-energies that arise through changes of the quark condensate and the quark density at finite baryon density. This approach is tested in the analysis of the equations of state for symmetric and asymmetric nuclear matter, and of bulk and single-nucleon properties of finite nuclei. In comparison with purely phenomenological mean-field approaches, the built-in QCD constraints and the explicit treatment of pion exchange restrict the freedom in adjusting parameters and functional forms of density dependent couplings. It is shown that chiral (two-pion exchange) fluctuations play a prominent role for nuclear binding and saturation, whereas strong scalar and vector fields of about equal magnitude and opposite sign, induced by changes of the QCD vacuum in the presence of baryonic matter, generate the large effective spin-orbit potential in finite nuclei.

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“…For Σ CD , apart from older calculations, we have, for instance: Σ CD =56÷ 72 MeV [18] and Σ CD =59÷ 62 MeV [12,19]. A value of Σ CD on the high side (≃ 72 MeV) is also favoured by a more recent evaluation [20].…”

Section: Neutralino-nucleus Elastic Cross-sectionmentioning

confidence: 90%

Implications for relic neutralinos of the theoretical uncertainties in the neutralino–nucleon cross section

Bottino

Donato

Fornengo

et al. 2000

Astroparticle Physics

172

179

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We discuss the effect induced on the neutralino-nucleon cross-section by the present uncertainties in the values of the quark masses and of the quark scalar densities in the nucleon. We examine the implications of this aspect on the determination of the neutralino cosmological properties, as derived from measurements of WIMP direct detection. We show that, within current theoretical uncertainties, the DAMA annual modulation data are compatible with a neutralino as a major dark matter component, to an extent which is even larger than the one previously derived. We also comment on implications of the mentioned uncertainties for experiments of indirect dark matter detection. *

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Sigma-term update

Cited by 854 publications

References 57 publications

Three nucleon forces in nuclear matter in QCD sum rules

Three nucleon forces in nuclear matter in QCD sum rules

Relativistic nuclear model with point-couplings constrained by QCD and chiral symmetry

Implications for relic neutralinos of the theoretical uncertainties in the neutralino–nucleon cross section

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