Effect of the N3LO three-nucleon contact interaction on 
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 scattering observables

Girlanda, L.; Filandri, Elena; Kievsky, A.; Marcucci, L. E.; Viviani, M.

doi:10.1103/physrevc.107.l061001

Cited by 12 publications

(4 citation statements)

References 47 publications

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“…and the independent generators T i , which are given explicitly in Ref. [17,23], induce a shift in the N3LO contact LECs, D i → D i + δD i . Specifically, the induced shifts for D 16 and D 17 are given by:…”

Section: Influence Of Two-body Off-shell Forces On the A Y Puzzlementioning

confidence: 99%

“…The explicit expression for the N4LO LECs shift δE i of the three-body force can be found in Ref. [17] (see Eqs. ( 39)-( 51)).…”

Section: Influence Of Two-body Off-shell Forces On the A Y Puzzlementioning

confidence: 99%

“…The 3-body Schrödinger equation is solved as in Ref. [17] employing the Hyperspherical Harmonic (HH) method. Below the deuteron breakup threshold, the N − d scattering wave function is expressed as the sum of an internal Ψ C and an asymptotic part…”

Section: Influence Of Two-body Off-shell Forces On the A Y Puzzlementioning

confidence: 99%

“…The inclusion of the N4LO 3N contact interaction has proven to be of significant importance in reducing existing discrepancies between theoretical predictions and experimental data [17].…”

Section: Introductionmentioning

confidence: 99%

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Momentum dependent nucleon-nucleon contact interactions andtheir effect on $p-d$ scattering observables

Filandri,

Girlanda,

Kievsky

et al. 2024

Preprint

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Starting from a complete set of relativistic nucleon-nucleon contact operators up to order $O(p^4)$ of the expansion in the soft (relative or nucleon) momentum $p$ , we show that non-relativistic expansions of relativistic operators involve twenty-six independent combinations, two starting at $O(p^0)$ , seven at order $O(p^2)$ and seventeen at order $O(p^4)$. This demonstrates the existence of two low-energy free constants that parameterize interactions dependent on the total momentum of the pair of nucleons $P$ .The latter, through the use of a unitary transformation, can be removed in the two-nucleon fourth-order contact interaction of the Chiral Effective Field Theory, generating a three-nucleon interaction at the same order.Within a hybrid approach in which this interaction is considered together with the phenomenological potential AV18, we show that the LECs involved can be used to fit very accurate data on the polarization observables of the low-energy $p-d$ scattering, in particular the $A_y$ asymmetry.

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Section: Influence Of Two-body Off-shell Forces On the A Y Puzzlementioning

confidence: 99%

“…The explicit expression for the N4LO LECs shift δE i of the three-body force can be found in Ref. [17] (see Eqs. ( 39)-( 51)).…”

Section: Influence Of Two-body Off-shell Forces On the A Y Puzzlementioning

confidence: 99%

Section: Influence Of Two-body Off-shell Forces On the A Y Puzzlementioning

confidence: 99%

“…The inclusion of the N4LO 3N contact interaction has proven to be of significant importance in reducing existing discrepancies between theoretical predictions and experimental data [17].…”

Section: Introductionmentioning

confidence: 99%

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