Proton-Proton Effective-Range Theory with Vacuum Polarization

Heller, L.

doi:10.1103/physrev.120.627

Cited by 57 publications

(25 citation statements)

References 13 publications

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“…Following Ref. [69] and treating the V C2 (r) and V V P (r) corrections in first order perturbation theory, one finds that F L (kr; η and G L (kr; η ) can be expressed as…”

Section: Discussionmentioning

confidence: 99%

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Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange includingΔresonances

et al. 2015

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We construct a coordinate-space chiral potential, including ∆-isobar intermediate states in its two-pion-exchange component up to order Q 3 (Q denotes generically the low momentum scale). The contact interactions entering at next-to-leading and next-to-next-to-next-to-leading orders (Q 2 and Q 4 , respectively) are rearranged by Fierz transformations to yield terms at most quadratic in the relative momentum operator of the two nucleons. The low-energy constants multiplying these contact interactions are fitted to the 2013 Granada database, consisting of 2309 pp and 2982 np data (including, respectively, 148 and 218 normalizations) in the laboratory-energy range 0-300 MeV. For the total 5291 pp and np data in this range, we obtain a χ 2 /datum of roughly 1.3 for a set of three models characterized by long-and short-range cutoffs, RL and RS respectively, ranging from (RL, RS) = (1.2, 0.8) fm down to (0.8, 0.6) fm. The long-range (short-range) cutoff regularizes the one-and two-pion exchange (contact) part of the potential.

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“…Following Ref. [69] and treating the V C2 (r) and V V P (r) corrections in first order perturbation theory, one finds that F L (kr; η and G L (kr; η ) can be expressed as…”

Section: Discussionmentioning

confidence: 99%

“…(D8) to obtain the phase shifts ρ L and τ L . The effective range expansion in the 1 S 0 channel is obtained as [68][69][70] F EM (k 2 ) = − 1 a EM + 1 2 r EM k 2 + . .…”

Section: Discussionmentioning

confidence: 99%

Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange includingΔresonances

et al. 2015

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“…3 The inclusion of corrections to the electromagnetic interaction between nucleons, like for example improved Coulomb [26] or vacuum polarization [27], is not needed at the present level of accuracy. As can be seen in Ref.…”

Section: Phase Shiftsmentioning

confidence: 99%

“…The inclusion of improved Coulomb [26] or vacuum polarization effects [27] produces only small changes in the overlap integral, namely, δ vp = −0.44% and δ C2 = 0.03% at E = 0. These values are quite similar to those usually obtained in the literature [42,43].…”

Section: Proton-proton Fusionmentioning

confidence: 99%

Renormalization of Proton-Proton Scattering and Proton-Proton Fusion with Chiral Two Pion Exchange: Regulator Independent Results.

Valderrama

2010

EPJ Web of Conferences

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Abstract. The renormalization of the s-wave proton-proton scattering amplitude with chiral two-pion exchange is considered up to next-to-next-to-leading order in the chiral expansion. The resulting phase shifts accurately describe the s-wave phases up to k cm ≃ 200 MeV. The effect and possible improvements coming from finite cut-offs or spectral function regularization are considered. Proton-proton fusion is calculated with the resulting renormalized wave functions in a regulator independent way at next-to-next-to-leading order (N 2 LO).

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“…In high energy scattering of e , e-, etc., which is of course a high momentum transfer test and / therefore essential for detecting possible new interactions or deviations at short distances, one tests in practice only (3) Born diagrams at high energies. The effects of the vacuum polarization has also been taken into account to obtain an improved value for the scattering length (4,5,6) cross section are necessary as we may view q as function of the scattering angle. As the precision of the relative measurements now can be as high as.5%(7 we believe that the necessary experiments can be carried out in the near future.…”

mentioning

confidence: 99%

Possible measurement of the vacuum polarization in heavy-ion scattering

Rafelski

Klein

1974

Phys. Rev. C

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A measurement of vacuum polarization effects in nonrelativistic elastic heavy ion scattering is suggested. We find that in a typical subcoulomb barrier .event enough momentum is transferred from the projectile to the target nucleus to make 2 the high q behavior of the photon propagator observable. The elastic cross section is increased in a typical case by 2.5% above the Rutherford value. Only relative measurements are needed..-

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Proton-Proton Effective-Range Theory with Vacuum Polarization

Cited by 57 publications

References 13 publications

Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange includingΔresonances

Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange includingΔresonances

Renormalization of Proton-Proton Scattering and Proton-Proton Fusion with Chiral Two Pion Exchange: Regulator Independent Results.

Possible measurement of the vacuum polarization in heavy-ion scattering

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