Abstract
We investigate the interplay between the pion exchanges and the contact interactions in the \(^1S_0\) channel using a N4LO chiral potential. We compute the pairing gap without the pions and show that, although the contact interactions dominate in this channel, the gap is strongly enhanced without the attraction that comes from the pions.
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Weinberg, S.: Effective chiral lagrangians for nucleon-pion interactions and nuclear forces. Nucl. Phys. B 363, 3–18 (1991)
Weinberg, S.: Three-body interactions among nucleons and pions. Phys. Lett. B 295, 114–121 (1992)
Ordóñez, C., Ray, L., van Kolck, U.: Two-nucleon potential from chiral Lagrangians. Phys. Rev. C 53, 2086–2105 (1996)
Entem, D.R., Machleidt, R.: Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory. Phys. Rev. C 68, 041001 (2003)
Epelbaum, E., Glöckle, W., Meissner, U.-G.: The two-nucleon system at next-to-next-to-next-to-leading order. Nucl. Phys. A 747, 362–424 (2005)
Entem, D.R., Kaiser, N., Machleidt, R., Nosyk, Y.: Peripheral NN scattering at fifth order of chiral perturbation theory. Phys. Rev. C 91, 014002 (2015)
Epelbaum, E., Krebs, H., Meissner, U.-G.: Precision nucleon-nucleon potential at fifth order in the chiral expansion. Phys. Rev. Lett. 115, 122301 (2015)
Nogga, A., Timmermans, R.G.E., van Kolck, U.: Renormalization of the one-pion exchange and power counting. Phys. Rev. C 72, 054006 (2005)
Szpigel, S., Timóteo, V.S.: Power counting and renormalization group invariance in the subtracted kernel method. J. Phys. G: Nucl. Part. Phys. 39, 105102 (2012)
Batista, E.F., Szpigel, S., Timóteo, V.S.: Renormalization of chiral forces with multiple subtractions. Adv. High Energy Phys. 2017, 2316247 (2017)
Acknowledgements
We would like to thank Prof. R. Machleidt for the special version of the chiral force. This work was supported by FAPESP (grant 2016/07061-3) and CNPq (grant 306195/2015-1).
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Batista, E.F., Szpigel, S., Timóteo, V.S. (2020). Exploring High Quality Chiral Forces. In: Orr, N., Ploszajczak, M., Marqués, F., Carbonell, J. (eds) Recent Progress in Few-Body Physics. FB22 2018. Springer Proceedings in Physics, vol 238. Springer, Cham. https://doi.org/10.1007/978-3-030-32357-8_80
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DOI: https://doi.org/10.1007/978-3-030-32357-8_80
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