Dispersion Relations and ChPT

Büttiker, P.; Meißner, Ulf‐G.

doi:10.1142/9789812810977_0051

Cited by 6 publications

(12 citation statements)

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“…[6] or, alternatively, from fitting the invariant amplitudes inside the Mandelstam triangle, i.e. in the unphysical region [7]. The so determined parameters are only slightly different, but these small differences will play a role later on.…”

Section: The Renormalized Potentialmentioning

confidence: 99%

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Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system

2000

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We employ the chiral nucleon-nucleon potential derived in ref.[1] to study bound and scattering states in the two-nucleon system. At next-to-leading order, this potential is the sum of renormalized one-pion and two-pion exchange and contact interactions. At next-to-next-to-leading order, we have additional chiral two-pion exchange with low-energy constants determined from pion-nucleon scattering. Alternatively, we consider the ∆(1232) as an explicit degree of freedom in the effective field theory. The nine parameters related to the contact interactions can be determined by a fit to the np S-and P-waves and the mixing parameter ǫ 1 for laboratory energies below 100 MeV. The predicted phase shifts and mixing parameters for higher energies and higher angular momenta are mostly well described for energies below 300 MeV. The S-waves are described as precisely as in modern phenomenological potentials. We find a good description of the deuteron properties. #1 #5We already remark here that the determination of these parameters from fitting the invariant amplitudes inside the Mandelstam triangle is favored by our fits.#6 Strictly speaking, one should keep also the dimension two πN operators and subtract the ∆ contribution. Since an explicit ∆ is, however, dynamically different from integrating it out, we refrain from doing this. The uncertainty due to this procedure is small in most partial waves. #7 The leading effects of the ∆(1232) resonance were also incorporated in that work. #8 Note that the NNLO potential was not given in I.

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Section: The Renormalized Potentialmentioning

confidence: 99%

“…In contrast to ref. [3], we take the novel low-energy constants (LECs) from systematic studies of pion-nucleon scattering in CHPT [4,5,6,7]. #5 Alternatively, since most of these LECs are saturated by the ∆-resonance, one can also include the ∆ explicitely.…”

Section: Introductionmentioning

confidence: 99%

Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system

2000

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“…[27]; furthermore, use of a new pion-nucleon phase-shift analysis [28], instead of the standard one [29] would make σ πN to rocket to a value larger than 200 MeV [30].…”

Section: Neutralino-nucleus Elastic Cross-sectionmentioning

confidence: 99%

“…( 19)). Finally, we wish to notice that recent results from higher order chiral perturbation calculations provide a large value for σ πN : σ πN = 70 MeV [27]; furthermore, use of a new pion-nucleon phase-shift analysis [28], instead of the standard one [29] would make σ πN to rocket to a value larger than 200 MeV [30].…”

Section: Neutralino-nucleus Elastic Cross-sectionmentioning

confidence: 99%

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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“…[39][40][41] While the existence of the saturation is still a subject of controversy, it seems to emerge that an explanation of the observed weak temperature dependence of τ ϕ in some disordered metals is an additional independent on temperature relaxation mechanism. A simple example of such a mechanism is the inelastic scattering from two-level centers.…”

Section: A Magnetoresistancementioning

confidence: 99%

Weak localization in InSb thin films heavily doped with lead

2002

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The paper reports on the investigations of the weak localization (WL) effects in 3D (about 2 µm thick) polycrystalline thin films of InSb. The films are closely compensated showing the electron concentration n > 10 16 cm −3 at the total concentration of the donor and acceptor type structural defects Nt > 10 18 cm −3 . Unless Pb-doped, the InSb films do not show any measurable or show very small WL effect at 4.2 K. The Pb-doping to the concentration of the order of 10 18 cm −3 leads to pronounced WL effects below 7 K. In particular, a clearly manifested spin-orbit (SO) scattering is observed. That is ascribed to the large mass of the Pb atoms. From the comparison of the experimental data on temperature dependence of the magnetoresistivity (MR) and sample resistance with the WL theory, the temperature dependence of the phase destroying time τϕ is determined. The determination is performed by fitting theoretical terms obtained from Kawabata's theory to experimental data on magnetoresistance. It is concluded that the dephasing process is connected to three separate interaction processes. The first is due to the SO scatterings and is characterized by temperature-independent relaxation time τso ≃ 10 −12 s. The second is associated with the electronphonon interaction (τi ∼ T −3 ). The third dephasing process is characterized by independent on temperature relaxation time τc = (1 to 7) × 10 −12 s. This relaxation time is tentatively ascribed to inelastic scattering at extended structural defects, like grain boundaries. The resulting time τϕ shows saturation in its temperature dependence for T → 0. The temperature dependence of the resistance of the InSb films can be explained by the electron-electron interaction for T < 1 K, and by the WL effect for T > 2 K. PACS numbers73.20.Fz; 72.15.Rn; 72.10.Fk.

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Dispersion Relations and ChPT

Cited by 6 publications

References 0 publications

Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system

Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system

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

Weak localization in InSb thin films heavily doped with lead

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