Abstract
We applied the semilocal coordinate-space (SCS) regularized chiral N\(^4\)LO nucleon-nucleon (NN) potential supplemented by the chiral N\(^2\)LO three-nucleon force (3NF), regularized in the same way, to study the nucleon-deuteron (Nd) elastic scattering and deuteron breakup reaction. We checked that the elastic Nd scattering cross section can be used to fix, together with the \(^3\)H binding energy, the strengths of the contact terms of the N\(^2\)LO 3NF. We found that the N\(^2\)LO 3NF provides effects comparable to those of (semi)phenomenological \(2\pi \)-exchange 3NF’s.
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References
Wiringa, R.B., et al.: Accurate nucleon-nucleon potential with charge-independence breaking. Phys. Rev. C 51, 38–51 (1995)
Machleidt, R.: High-precision, charge-dependent Bonn nucleon-nucleon potential. Phys. Rev. C 63, 024001-1–32 (2001)
Stoks, V.G.J., et al.: Construction of high-quality NN potential models. Phys. Rev. C 49, 2950–2963 (1994)
Witała, H., et al.: Nd elastic scattering as a tool to probe properties of 3N forces. Phys. Rev. C 63, 024007-1–12 (2001), and references therein
Coon, S.A., Han, H.K.: Reworking the Tucson-Melbourne three-nucleon potential. Few Body Syst. 30, 131–141 (2001)
Pudliner, B.S., et al.: Quantum Monte Carlo calculations of nuclei with \(A < 7\). Phys. Rev. C 56, 1720–1750 (1997)
Epelbaum, E.: Few nucleon forces and systems in chiral effective field theory. Prog. Part. Nucl. Phys. 57, 654–741 (2006)
Machleidt, R., Entem, D.R.: Chiral effective field theory and nuclear forces. Phys. Rep. 503, 1–75 (2011)
Epelbaum, E., et al.: Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order. Eur. Phys. J. A 51, 53–81 (2015)
Epelbaum, E., et al.: Precision nucleon-nucleon potential at fifth order in the chiral expansion. Phys. Rev. Lett. 115, 122301-1–5 (2015)
Binder, S., et al.: Few-nucleon systems with state-of-the-art chiral nucleon-nucleon forces. Phys. Rev. C 93, 044002-1–6 (2016)
Epelbaum, E., et al.: Three-nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064001-1–17 (2002)
Glöckle, W., et al.: The three-nucleon continuum: achievements, challenges and applications. Phys. Rep. 274, 107–285 (1996)
Hüber, D., et al.: How to include a three-nucleon force into Faddeev equations for the 3N continuum: a new form. Acta Phys. Pol. B 28, 1677–1685 (1997)
Hebeler, K., et al.: Efficient calculation of chiral three-nucleon forces up to N\(^3\)LO for ab initio studies. Phys. Rev. C91, 044001-1–9 (2015)
Shimizu, H., et al.: Analyzing powers and cross sections in elastic scattering at 65 MeV. Nucl. Phys. A 382, 242–254 (1982)
Sekiguchi, K., et al.: Complete set of precise deuteron analyzing powers at intermediate energies: comparison with modern nuclear force predictions. Phys. Rev. C 65, 034003-1–16 (2002)
Bernard, V., et al.: Subleading contributions to the chiral three-nucleon force: long-range terms. Phys. Rev. C 77, 064004-1–13 (2008)
Bernard, V., et al.: Subleading contributions to the chiral three-nucleon force. II. short-range terms and relativistic corrections. Phys. Rev. C 84, 054001-1–12 (2011)
Setze, H.R., et al.: Verification of the space-star anomaly in nd breakup. Phys. Lett. B 388, 229–234 (1996)
Rauprich, G., et al.: Study of the kinematically complete breakup reaction \(^2H(\overrightarrow{p},-pp)n\) at \(E_p=3\) MeV with polarized protons. Nucl. Phys. A 535, 313–330 (1991)
Witała, H., Glöckle, W.: On the discrepancies in the low-energy neutron-deuteron breakup. J. Phys. G: Nucl. Part. Phys. 37, 064003-1–11 (2010)
Sagara, K.: Experimental investigations of discrepancies in three-nucleon reactions. Few-Body Syst. 48, 59–108 (2010)
Deltuva, A., et al.: Momentum-space description of three-nucleon breakup reactions including the Coulomb interaction. Phys. Rev. C72, 054004-1–12 (2005)
Acknowledgements
This study has been performed within Low Energy Nuclear Physics International Collaboration (LENPIC) project and was supported by the Polish National Science Centre under Grants No. 2016/22/M/ST2/00173 and 2016/21/D/ST2/01120. The numerical calculations were performed on the supercomputer cluster of the JSC, Jülich, Germany.
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Witała, H., Golak, J., Skibiński, R., Topolnicki, K. (2020). 3N Continuum Reactions with Semilocal Coordinate-Space Regularized 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_70
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