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Chiral 2$\pi$-exchange NN-potentials: Relativistic $1/M^2$-Corrections

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abstract

We calculate in baryon chiral perturbation theory the relativistic $1/M^2$-corrections to the leading order two-pion exchange diagrams. We give explicit expressions for the corresponding one-loop NN-amplitudes in momentum space. The resulting isovector central and isoscalar spin-spin and tensor NN-amplitudes involve non-static terms proportional to the squared nucleon center-of-mass momentum $p^2$. From the two-pion exchange box diagrams we obtain an isoscalar quadratic spin-orbit NN-amplitude. We give also analytical expressions for the corresponding NN-potentials in coordinate space. The diagrammatic results presented here make the chiral NN-potential complete at next-to-next-to-next-to-leading order.

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nucl-th 1

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2025 1

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CONDITIONAL 1

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Scrutiny of the new class of three-nucleon forces

nucl-th · 2025-12-16 · conditional · novelty 3.0

After removing renormalization-scheme-dependent short-distance parts, the scrutinized three-nucleon forces yield small contributions to neutron and symmetric nuclear matter equations of state, aligning with standard chiral EFT expectations.

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  • Scrutiny of the new class of three-nucleon forces nucl-th · 2025-12-16 · conditional · none · ref 82 · internal anchor

    After removing renormalization-scheme-dependent short-distance parts, the scrutinized three-nucleon forces yield small contributions to neutron and symmetric nuclear matter equations of state, aligning with standard chiral EFT expectations.