Naturalness in nuclear effective field theories

Kolck, U. van

doi:10.1140/epja/s10050-020-00092-1

Cited by 31 publications

(11 citation statements)

References 97 publications

(181 reference statements)

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“…The origin of the failure of NDA is the nonperturbative character of the NN amplitude at leading order (LO). NDA results from the assumption of naturalness [17,18] applied to the perturbative series [19]. It is well known that nonperturbative renormalization can be significantly different, however [20].…”

Section: Introductionmentioning

confidence: 99%

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Renormalization of One-Pion Exchange in Chiral Effective Field Theory for Antinucleon-Nucleon Scattering

Zhou,

Long,

Timmermans

et al. 2022

Preprint

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The renormalization of iterated one-pion exchange (OPE) is studied in Chiral Effective Field Theory (χEFT) for the antinucleon-nucleon (NN ) system. The OPE potential is cut off at a certain distance and contact interactions are represented by a complex spherical well with the same radius. We investigate the dependence on the cutoff radius of the phase shifts, inelasticities, and mixing angles for the low partial waves in NN scattering. We show that renormalization requires additional contact interactions compared to the expectation based on naive dimensional analysis. Results after renormalization are compared with the state-of-the-art energy-dependent partial-wave analysis of NN data. We compare our conclusions with applications of χEFT to the nucleon-nucleon system.

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Section: Introductionmentioning

confidence: 99%

“…P 2 ,where V c is positive when Λ is large, which is different from other channels. The residual cutoff dependence is plotted in Figs 19. and 20 for 13 P 2 -13 F 2 and 33 P 2 -33 F 2 , respectively.…”

mentioning

confidence: 99%

Renormalization of One-Pion Exchange in Chiral Effective Field Theory for Antinucleon-Nucleon Scattering

Zhou,

Long,

Timmermans

et al. 2022

Preprint

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“…(For a review, see Ref. [23].) This is assured if the renormalized LECs scale as C n = O(1/M n+1 hi ).…”

Section: Introductionmentioning

confidence: 99%

Effective Field Theory for Two-Body Systems with Shallow S-Wave Resonances

Habashi,

Sen,

Fleming

et al. 2020

Preprint

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Resonances are of particular importance to the scattering of composite particles in quantum mechanics. We build an effective field theory for two-body scattering which includes a low-energy S-wave resonance. Our starting point is the most general Lagrangian with short-range interactions. We demonstrate that these interactions can be organized into various orders so as to generate a systematic expansion for an S matrix with two low-energy poles. The pole positions are restricted by renormalization at leading order, where the common feature is a non-positive effective range. We carry out the expansion explicitly to next-to-leading order and illustrate how it systematically accounts for the results of a toy model -a spherical well with a delta shell at its border.

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“…[43,44] to promote a contact NNN interaction to LO also in χEFT. However, one would like to understand the promotion or demotion of interactions either on the basis of the RG coupled to naturalness [45] or another power-counting argument. In contrast to pionless EFT, the trinucleon system is RG invariant without NNN forces in χEFT up to NLO with either MWPC or SEP [34,35].…”

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confidence: 99%

“…These estimates suffer from a number of caveats. For one, they rely on NDA, which is based on purely perturbative arguments and is known to fail in the nuclear context where LO interactions must be treated nonperturbatively [45]. For example, renormalization of LO one-pion exchange in the NN 1 S 0 channel requires an interaction with a = 2, m = 1, d = 0, and p = 0 [18,19], which by Eq.…”

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confidence: 99%

The importance of few-nucleon forces in chiral effective field theory

Yang,

Ekström,

Forssén

et al. 2021

Preprint

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We study the importance of few-nucleon forces in chiral effective field theory for describing manynucleon systems. A combinatorial argument suggests that three-nucleon forces-which are conventionally regarded as next-to-next-to-leading order-should accompany the two-nucleon force already at leading order (LO) starting with mass number A 10 − 20. We find that this promotion enables the first realistic description of the 16 O ground state based on a renormalization-group-invariant LO interaction. We also performed coupled cluster calculations of the equation-of-state for symmetric nuclear matter and our results indicate that LO four-nucleon forces could play a crucial role for describing heavy-mass nuclei. The enhancement mechanism we found is very general and could be important also in other many-body problems.

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Naturalness in nuclear effective field theories

Cited by 31 publications

References 97 publications

Renormalization of One-Pion Exchange in Chiral Effective Field Theory for Antinucleon-Nucleon Scattering

Renormalization of One-Pion Exchange in Chiral Effective Field Theory for Antinucleon-Nucleon Scattering

Effective Field Theory for Two-Body Systems with Shallow S-Wave Resonances

The importance of few-nucleon forces in chiral effective field theory

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