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Can chiral EFT give us satisfaction?

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Abstract

We compare nuclear forces derived from chiral effective field theory (EFT) with those obtained from traditional (phenomenological and meson) models. By means of a careful analysis of paralleles and differences, we show that chiral EFT is superior to all earlier approaches in terms of both formal aspects and successful applications in ab initio calculations. However, in spite of the considerable progress made possible by chiral EFT, complete satisfaction cannot be claimed until outstanding problems – the renormalization issue being the most important one – are finally settled.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This manuscript has no associated data.]

Notes

  1. The research devoted to the NN interaction during the 1960’s has been thoroughly reviewed by Moravcsik [47].

  2. The interested reader can find a pedagogical introduction into the OBE model in Sects. 3 and 4 of ref. [52].

  3. In fact, the only miroscopic approach developed during Era II that was able to explain nuclear matter saturation was the relativistic Dirac-Brueckner-Hartree-Fock (DBHF) method [83,84,85,86,87,88,89]. However, the DBHF approach is unfit to account for the properties of finite nuclei across the nuclear chart. Alternatively, relativistic [111, 112] and nonrelativistic [113] mean-field models were constructed to improve the description of nuclear matter and finite nuclei. However, these models are not ab initio and, therefore, not a topic of this article.

  4. For a more detailed introduction into (chiral) EFT, see e.g. Refs. [126,127,128,129].

  5. Alternative chiral NN potentials can be found in Refs. [156,157,158,159,160,161,162,163,164,165,166,167,168,169].

References

  1. S. Weinberg, Phys. Rev. Lett. 18, 188 (1967)

    ADS  Google Scholar 

  2. S. Weinberg, Phys. Rev. 166, 1568 (1968)

    ADS  Google Scholar 

  3. S. Weinberg, Physica 96A, 327 (1979)

    ADS  Google Scholar 

  4. S. Weinberg, What is quantum field theory, and what did we think it was? In: Conceptual foundations of quantum field theory, T. Cao, ed. (Cambridge University Press, Cambridge, 1999) pp. 241–251. arXiv:hep-th/9702027

    MATH  Google Scholar 

  5. S. Weinberg, Effective field theory, past and future. PoS CD 09, 001 (2009). arXiv:0908.1964 [hep-th]

    MathSciNet  Google Scholar 

  6. H. Yukawa, Proc. Phys. Math. Soc. Jpn. 17, 48 (1935)

    Google Scholar 

  7. E. Fermi, Z. Phys. 88, 161 (1934)

    ADS  Google Scholar 

  8. S.H. Neddermeyer, C.D. Anderson, Phys. Rev. 51, 884 (1937)

    ADS  Google Scholar 

  9. H. Yukawa, S. Sakata, Proc. Phys. Math. Soc. Jpn. 19, 1084 (1937)

    Google Scholar 

  10. N. Kemmer, Proc. R. Soc. (Lond.) A166, 127 (1938)

    ADS  Google Scholar 

  11. C.M.G. Lattes, G.P.S. Occhialini, C.F. Powell, Nature 160(453), 486 (1947)

    ADS  Google Scholar 

  12. E. Gardner, C.M.G. Lattes, Science 107, 270 (1948)

    ADS  Google Scholar 

  13. M. Taketani, S. Machida, S. Onuma, Prog. Theor. Phys. (Kyoto) 7, 45 (1952)

    ADS  Google Scholar 

  14. K. A. Brueckner, K.M. Watson, Phys. Rev. 90, 699

  15. K.A. Brueckner, K.M. Watson, Phys. Rev. 92, 1023 (1953)

    ADS  Google Scholar 

  16. R.E. Marshak, Meson Physics (Dover Publications, New York, 1952)

    MATH  Google Scholar 

  17. S. S. Schweber, H. A. Bethe, F. de Hoffmann, Mesons and Fields, Volume I Fields (Row, Peterson and Company, Evanston, IL, 1955)

  18. H. A. Bethe, F. de Hoffmann, Mesons and Fields, Volume II Mesons (Row, Peterson and Company, Evanston, IL, 1955)

  19. M.J. Moravcsik, The Two-Nucleon Interaction (Clarendon Press, Oxford, 1963)

    MATH  Google Scholar 

  20. J. Gasser, H. Leutwyler, Ann. Phys. 158, 142 (1984)

    ADS  Google Scholar 

  21. J. Gasser, H. Leutwyler, Nucl. Phys. B 250, 465 (1985)

    ADS  Google Scholar 

  22. J. Gasser, M.E. Sainio, A. Švarc, Nucl. Phys. B 307, 779 (1986)

    ADS  Google Scholar 

  23. S. Weinberg, Phys. Lett. B 251, 288 (1990)

    ADS  Google Scholar 

  24. S. Weinberg, Nucl. Phys. B 363, 3 (1991)

    ADS  Google Scholar 

  25. S. Weinberg, Phys. Lett. B 295, 114 (1992)

    ADS  Google Scholar 

  26. C. Ordóñez, L. Ray, U. van Kolck, Phys. Rev. Lett. 72, 1982 (1994)

    ADS  Google Scholar 

  27. C. Ordóñez, L. Ray, U. van Kolck, Phys. Rev. C 53, 2086 (1996)

    ADS  Google Scholar 

  28. Proc. Theor. Phys. (Kyoto), Suppl. 3, 1–174 (1956)

  29. J.L. Gammel, R.M. Thaler, Phys. Rev. 107(291), 1337 (1957)

    ADS  MathSciNet  Google Scholar 

  30. T. Hamada, I.D. Johnston, Nucl. Phys. 34, 382 (1962)

    Google Scholar 

  31. R.V. Reid Jr., Ann. Phys. 50, 411 (1968)

    ADS  Google Scholar 

  32. I.E. Lagaris, V.R. Pandharipande, Nucl. Phys. A 359, 331 (1981)

    ADS  Google Scholar 

  33. R.B. Wiringa, R.A. Smith, T.L. Ainsworth, Phys. Rev. C 29, 1207 (1984)

    ADS  Google Scholar 

  34. R.B. Wiringa, V.G.J. Stoks, R. Schiavilla, Phys. Rev. C 51, 38 (1995)

    ADS  Google Scholar 

  35. O. Chamberlain, E. Segre, R.D. Tripp, C. Wiegand, T. Ypsilantis, Phys. Rev. 105, 288 (1957)

    ADS  Google Scholar 

  36. H.P. Stapp, T.J. Ypsilantis, N. Metropolis, Phys. Rev. 105, 302 (1957)

    ADS  Google Scholar 

  37. J.J. Sakurai, Phys. Rev. 119, 1784 (1960)

    ADS  Google Scholar 

  38. G. Breit, Phys. Rev. 120, 287 (1960)

    ADS  Google Scholar 

  39. Y. Nambu, Phys. Rev. 106, 1366 (1957)

    ADS  Google Scholar 

  40. W.R. Frazer, J.R. Fulco, Phys. Rev. Lett. 2, 365 (1959)

    ADS  Google Scholar 

  41. W.R. Frazer, J.R. Fulco, Phys. Rev. 117, 1609 (1960)

    ADS  MathSciNet  Google Scholar 

  42. B.C. Maglic et al., Phys. Rev. Lett. 7, 178 (1961)

    ADS  Google Scholar 

  43. A.R. Erwin et al., Phys. Rev. Lett. 6, 628 (1961)

    ADS  Google Scholar 

  44. R.A. Bryan, B.L. Scott, Phys. Rev. 135, B434 (1964). and references therein

    ADS  Google Scholar 

  45. R.A. Bryan, B.L. Scott, Phys. Rev. 164, 1215 (1967)

    ADS  Google Scholar 

  46. R.A. Bryan, B.L. Scott, Phys. Rev. 177, 1435 (1969)

    ADS  Google Scholar 

  47. M.J. Moravcsik, Rep. Prog. Phys. 35, 587 (1972)

    ADS  Google Scholar 

  48. V.G.J. Stoks, R.A.M. Klomp, C.P.F. Terheggen, J.J. de Swart, Phys. Rev. C 49, 2950 (1994)

    ADS  Google Scholar 

  49. R. Machleidt, F. Sammarruca, Y. Song, Phys. Rev. C 53, R1483 (1996)

    ADS  Google Scholar 

  50. R. Machleidt, Phys. Rev. C 63, 024001 (2001)

    ADS  Google Scholar 

  51. M. Tanabashi et al., Particle Data Group, Phys. Rev. D 98, 030001 (2018)

  52. R. Machleidt, Adv. Nucl. Phys. 19, 189 (1989)

    Google Scholar 

  53. Proc. Theor. Phys. (Kyoto), Suppl. 39, 1-346 (1967)

  54. A.E.S. Green, M.H. MacGregor, R. Wilson, Rev. Mod. Phys. 39, 495 (1967)

    ADS  Google Scholar 

  55. M.M. Nagels, T.A. Rijken, J.J. de Swart, Phys. Rev. D 17, 768 (1978)

    ADS  Google Scholar 

  56. A. Gersten, R. Thompson, A.E.S. Green, Phys. Rev. D 3, 2076 (1971)

    ADS  Google Scholar 

  57. G. Schierholz, Nucl. Phys. B 40, 335 (1972)

    ADS  Google Scholar 

  58. J. Fleischer, J.A. Tjon, Nucl. Phys. B 84, 375 (1975)

    ADS  Google Scholar 

  59. J. Fleischer, J.A. Tjon, Phys. Rev. D 24, 87 (1980)

    ADS  Google Scholar 

  60. K. Erkelenz, Phys. Rep. C 13, 191 (1974)

    ADS  Google Scholar 

  61. K. Holinde, R. Machleidt, Nucl. Phys. A 247, 495 (1975)

    ADS  Google Scholar 

  62. K. Holinde, R. Machleidt, Nucl. Phys. A 256, 479 (1976)

    ADS  Google Scholar 

  63. W.W. Buck, F. Gross, Phys. Rev. D 20, 2361 (1979)

    ADS  Google Scholar 

  64. F. Gross, J.W. Van Orden, K. Holinde, Phys. Rev. C 45, 2094 (1992)

    ADS  Google Scholar 

  65. F. Gross, A. Stadler, Phys. Rev. C 78, 014005 (2008)

    ADS  Google Scholar 

  66. M. Chemtob, J.W. Durso, D.O. Riska, Nucl. Phys. B 38, 141 (1972)

    ADS  Google Scholar 

  67. A.D. Jackson, D.O. Riska, B. Verwest, Nucl. Phys. A 249, 397 (1975)

    ADS  Google Scholar 

  68. G.E. Brown, A.D. Jackson, The Nucleon–Nucleon Interaction (North-Holland, Amsterdam, 1976)

    Google Scholar 

  69. W.N. Cottingham, R. Vinh Mau, Phys. Rev. 130, 735 (1963)

    ADS  Google Scholar 

  70. W.N. Cottingham, M. Lacombe, B. Loiseau, J.M. Richard, R. Vinh Mau, Phys. Rev. D 8, 800 (1973)

    ADS  Google Scholar 

  71. R. Vinh Mau, J.M. Richard, B. Loiseau, M. Lacombe, W.N. Cottingham, Phys. Lett. B 44, 1 (1973)

    ADS  Google Scholar 

  72. M. Lacombe, B. Loiseau, J.M. Richard, R. Vinh Mau, J. Côté, P. Pirès, R. de Tourreil, Phys. Rev. C 21, 861 (1980)

    ADS  Google Scholar 

  73. R. Vinh Mau, The Paris Nucleon–Nucleon Interaction. In: Mesons in Nuclei, Vol. I, eds. M. Rho and D. H. Wilkinson (North-Holland, Amsterdam, 1979) pp. 151–196

  74. M.H. Partovi, E.L. Lomon, Phys. Rev. D 2, 1999 (1970)

    ADS  Google Scholar 

  75. R. Machleidt, K. Holinde, C. Elster, Phys. Rep. 149, 1 (1987)

    ADS  Google Scholar 

  76. J.W. Negele, Phys. Rec. C 1, 1260 (1970)

    ADS  Google Scholar 

  77. F. Coester, S. Cohen, B. Day, C.M. Vincent, Phys. Rev. C 1, 769 (1970)

    ADS  Google Scholar 

  78. F. Coester, B. Day, A. Goodman, Phys. Rev. C 5, 1135 (1972)

    ADS  Google Scholar 

  79. B.D. Day, Comments Nucl. Part. Phys. 11, 115 (1983)

    Google Scholar 

  80. R.A. Brandenburg, Y.E. Kim, A. Tubis, Phys. Lett. B 49, 205 (1974)

    ADS  Google Scholar 

  81. R.A. Brandenburg, P.U. Sauer, R. Machleidt, Z. Phys. A 280, 93 (1977)

    ADS  Google Scholar 

  82. H. Primakoff, T. Holstein, Phys. Rev. 55, 1218 (1939)

    ADS  Google Scholar 

  83. R. Brockmann, R. Machleidt, Phys. Lett. B 149, 283 (1984)

    ADS  Google Scholar 

  84. R. Brockmann, R. Machleidt, Phys. Rev. C 42, 1965 (1990)

    ADS  Google Scholar 

  85. B. Ter Haar, R. Malfliet, Phys. Rept. 149, 207 (1987)

    ADS  Google Scholar 

  86. G.E. Brown, W. Weise, G. Baym, J. Speth, Comments Nucl. Part. Phys. 17, 39 (1987)

    Google Scholar 

  87. A. Amorim, J.A. Tjon, Phys. Rev. Lett. 68, 772 (1992)

    ADS  Google Scholar 

  88. D. Alonso, F. Sammarruca, Phys. Rev. C 67, 054301 (2003)

    ADS  Google Scholar 

  89. H. Muether, F. Sammarruca, Z. Ma, Int. J. Mod. Phys. E 26, 173001 (2017)

    Google Scholar 

  90. J.-I. Fujita, H. Miyazawa, Prog. Theor. Phys. 17, 360 (1957)

    ADS  Google Scholar 

  91. Z.H. Li, U. Lombardo, H.-J. Schulze, W. Zuo, Phys. Rev. C 77, 034316 (2008)

    ADS  Google Scholar 

  92. S. Barshay, G.E. Brown, Phys. Rev. Lett. 34, 1106 (1975)

    ADS  Google Scholar 

  93. G.E. Brown, A.M. Green, W.J. Gerace, Nucl. Phys. A 115, 435 (1968)

    ADS  Google Scholar 

  94. G.E. Brown, Comments Nucl. Part. Phys. 5, 6 (1972)

    Google Scholar 

  95. S.A. Coon, M.D. Scadron, B.R. Barrett, Nucl. Phys. A 242, 467 (1975)

    ADS  Google Scholar 

  96. S.A. Coon, M.D. Scadron, P.C. McNamee, B.R. Barrett, D.W.E. Blatt, B.H.J. McKellar, Nucl. Phys. A 317, 242 (1979)

    ADS  Google Scholar 

  97. S.A. Coon, W. Gloeckle, Phys. Rev. C 23, 1790 (1981)

    ADS  Google Scholar 

  98. H.T. Coelho, T.K. Das, M.R. Robilotta, Phys. Rev. C 28, 1812 (1983)

    ADS  Google Scholar 

  99. M.R. Robilotta, M.P. Isidro Filho, Nucl. Phys. A 414, 394 (1984)

    ADS  Google Scholar 

  100. R.G. Ellis, S.A. Coon, B.H.J. McKellar, Nucl. Phys. A 438, 631 (1985)

    ADS  Google Scholar 

  101. S.A. Coon, M.T. Pena, Phys. Rev. C 48, 2559 (1993)

    ADS  Google Scholar 

  102. J. Carlson, V.R. Pandharipande, R.B. Wiringa, Nucl. Phys. A 401, 59 (1983)

    ADS  Google Scholar 

  103. B.S. Pudliner, V.R. Pandharipande, J. Carlson, R.B. Wiringa, Phys. Rev. Lett. 74, 4396 (1995)

    ADS  Google Scholar 

  104. D.R. Entem, R. Machleidt, Y. Nosyk, Phys. Rev. C 96, 024004 (2017)

    ADS  Google Scholar 

  105. F. Sammarruca, L.E. Marcucci, L. Coraggio, J.W. Holt, N. Itaco, R. Machleidt, arXiv:1807.06640 [nucl-th]

  106. B.S. Pudliner, V.R. Pandharipande, J. Carlson, S.C. Pieper, R.B. Wiringa, Phys. Rev. C 56, 1720 (1997)

    ADS  Google Scholar 

  107. A. Akmal, V.R. Pandharipande, D.G. Ravenhall, Phys. Rev. C 58, 1804 (1998)

    ADS  Google Scholar 

  108. S.C. Pieper, V.R. Pandharipande, R.B. Wiringa, J. Carlson, Phys. Rev. C 64, 014001 (2001)

    ADS  Google Scholar 

  109. J.L. Friar, B.F. Gibson, G.L. Payne, S.A. Coon, Few-Body Syst. 5, 13 (1988)

    ADS  Google Scholar 

  110. S.C. Pieper, A.I.P. Conf, Proc. 1011, 143 (2008)

  111. B.D. Serot, J.D. Walecka, Adv. Nucl. Phys. 16, 1 (1986)

    Google Scholar 

  112. P.G. Reinhard, Rept. Prog. Phys. 52, 439 (1989)

    ADS  Google Scholar 

  113. B.A. Brown, Phys. Rev. C 58, 220 (1998)

    ADS  Google Scholar 

  114. D. Lonardoni, A. Lovato, S.C. Pieper, R.B. Wiringa, Phys. Rev. C 96(2), 024326 (2017)

    ADS  Google Scholar 

  115. P. Maris, J.P. Vary, S. Gandolfi, J. Carlson, S.C. Pieper, Phys. Rev. C 87(5), 054318 (2013)

    ADS  Google Scholar 

  116. D.R. Entem, R. Machleidt, H. Witala, Phys. Rev. C 65, 064005 (2002)

    ADS  Google Scholar 

  117. A. Kievsky, M. Viviani, L. Girlanda, L.E. Marcucci, Phys. Rev. C 81, 044003 (2010)

    ADS  Google Scholar 

  118. C. Hajduk, P.U. Sauer, W. Struve, Nucl. Phys. A 405, 581 (1983)

    ADS  Google Scholar 

  119. C. Hajduk, P.U. Sauer, S.N. Yang, Nucl. Phys. A 405, 605 (1983)

    ADS  Google Scholar 

  120. W. Struve, C. Hajduk, P.U. Sauer, Nucl. Phys. A 405, 620 (1983)

    ADS  Google Scholar 

  121. A. Deltuva, R. Machleidt, P.U. Sauer, Phys. Rev. C 68, 024005 (2003)

    ADS  Google Scholar 

  122. A. Picklesimer, R.A. Rice, R. Brandenburg, Phys. Rev. C 46, 1178 (1992). and references therein

    ADS  Google Scholar 

  123. A. Picklesimer, R.A. Rice, R. Brandenburg, Few Body Syst. 19, 47 (1995)

    ADS  Google Scholar 

  124. K. Holinde, R. Machleidt, Nucl. Phys. A 280, 429 (1977)

    ADS  Google Scholar 

  125. R. Machleidt, K. Holinde, Nucl. Phys. A 350, 396 (1980)

    ADS  Google Scholar 

  126. R. Machleidt, D.R. Entem, Phys Rep. 503, 1 (2011)

    ADS  Google Scholar 

  127. E. Epelbaum, H.W. Hammer, U.G. Meißner, Rev. Mod. Phys. 81, 1773 (2009)

    ADS  Google Scholar 

  128. H.-W. Hammer, S. Kőnig, U. van Kolck, Nuclear effective field theory: status and perspectives. arXiv:1906.12122 [nucl-th]

  129. C. Drischler, W. Haxton, K. McElvain, E. Mereghetti, A. Nicholson, P. Vranas, A. Walker-Loud, Towards grounding nuclear physics in QCD. arXiv:1910.07961 [nucl-th]

  130. H. Krebs, A. Gasparyan, E. Epelbaum, Phys. Rev. C 85, 054006 (2012)

    ADS  Google Scholar 

  131. D.R. Entem, N. Kaiser, R. Machleidt, Y. Nosyk, Phys. Rev. C 91, 014002 (2015)

    ADS  Google Scholar 

  132. D.R. Entem, N. Kaiser, R. Machleidt, Y. Nosyk, Phys. Rev. C 92, 064001 (2015)

    ADS  Google Scholar 

  133. M. Hoferichter, J. Ruiz de Elvira, B. Kubis, U.-G. Meißner, Phys. Rev. Lett. 115, 192301 (2015)

    ADS  Google Scholar 

  134. M. Hoferichter, J. Ruiz de Elvira, B. Kubis, U.-G. Meißner, Phys. Rep. 625, 1 (2016)

    ADS  MathSciNet  Google Scholar 

  135. R. Blankenbecler, R. Sugar, Phys. Rev. 142, 1051 (1966)

    ADS  MathSciNet  Google Scholar 

  136. D.B. Kaplan, M. Savage, M.B. Wise, Nucl. Phys. B 478, 629 (1996)

    ADS  Google Scholar 

  137. D.B. Kaplan, M. Savage, M.B. Wise, Phys. Lett. B 424, 390 (1998)

    ADS  Google Scholar 

  138. D.B. Kaplan, M. Savage, M.B. Wise, Nucl. Phys. B 534, 329 (1998)

    ADS  Google Scholar 

  139. S. Fleming, T. Mehen, I.W. Stewart, Nucl. Phys. A 677, 313 (2000)

    ADS  Google Scholar 

  140. A. Nogga, R.G.E. Timmermans, U. van Kolck, Phys. Rev. C 72, 054006 (2005)

    ADS  Google Scholar 

  141. M.C. Birse, Phys. Rev. C 74, 014003 (2006)

    ADS  Google Scholar 

  142. M.C. Birse, Phys. Rev. C 76, 034002 (2007)

    ADS  Google Scholar 

  143. M.C. Birse, Phys. Rev. C 77, 047001 (2008)

    ADS  Google Scholar 

  144. M.C. Birse, Philos. Trans. R. Soc. Lond. A 369, 2662 (2011)

    ADS  MathSciNet  Google Scholar 

  145. B. Long, C. Yang, Phys. Rev. C 86, 024001 (2012)

    ADS  Google Scholar 

  146. B. Long, Int. J. Mod. Phys. E 25, 1641006 (2016)

    ADS  Google Scholar 

  147. M.P. Valderrama, Phys. Rev. C 83, 024003 (2011)

    ADS  Google Scholar 

  148. M. Pavon Valderrama, Phys. Rev. C 84, 064002 (2011)

    ADS  Google Scholar 

  149. M.P. Valderrama, Int. J. Mod. Phys. E 25, 1641007 (2016)

    ADS  Google Scholar 

  150. M. Pavon Valderrama, M. Sanchez Sanchez, C.J. Yang, B. Long, J. Carbonell, U. van Kolck, Phys. Rev. C 95, 054001 (2017)

  151. E. Epelbaum, J. Gegelia, U.G. Meißner, Nucl. Phys. B 925, 161 (2017)

    ADS  Google Scholar 

  152. S. Kőnig, H.W. Grießhammer, H.-W. Hammer, U. van Kolck, Phys. Rev. Lett. 118, 202501 (2017)

    ADS  Google Scholar 

  153. E. Epelbaum, A.M. Gasparyan, J. Gegelia, U.G. Meißner, Eur. Phys. J. A 54, 186 (2018)

    ADS  Google Scholar 

  154. U. van Kolck, Nuclear effective field theories: the whole enchilada, talk given at the INT program. Nuclear Structure at the Crossroads, July 1–August 2, 2019

  155. M. P. Valderrama, Scattering amplitudes versus potentials in nuclear effective field theory: is there a potential compromise? arXiv:1902.08172 [nucl-th]

  156. E. Epelbaum, W. Glöckle, U.-G. Meißner, Nucl. Phys. A 671, 295 (2000)

    ADS  Google Scholar 

  157. D.R. Entem, R. Machleidt, Phys. Rev. C 68, 041001 (2003)

    ADS  Google Scholar 

  158. E. Epelbaum, W. Glöckle, U.-G. Meißner, Nucl. Phys. A 747, 362 (2005)

    ADS  Google Scholar 

  159. A. Ekstrőm et al., Phys. Rev. Lett. 110, 192502 (2013)

    ADS  Google Scholar 

  160. A. Gezerlis, I. Tews, E. Epelbaum, M. Freunek, S. Gandolfi, K. Hebeler, A. Nogga, A. Schwenk, Phys. Rev. C 90, 054323 (2014)

    ADS  Google Scholar 

  161. M. Piarulli, L. Girlanda, R. Schiavilla, R. Navarro Pérez, J .E. Amaro, E. Ruiz Arriola, Phys. Rev. C 91, 024003 (2015)

  162. M. Piarulli, L. Girlanda, R. Schiavilla, A. Kievsky, A. Lovato, L. E. Marcucci, Steven C. Pieper, M. Viviani, R. B. Wiringa, Phys. Rev. C 94, 054007 (2016)

  163. A. Ekstrőm et al., Phys. Rev. C 91, 051301 (2015)

    ADS  Google Scholar 

  164. E. Epelbaum, H. Krebs, U.-G. Meißner, Eur. Phys. J. A 51, 53 (2015)

    ADS  Google Scholar 

  165. E. Epelbaum, H. Krebs, U.-G. Meißner, Phys. Rev. Lett. 115, 122301 (2015)

    ADS  Google Scholar 

  166. R. Navarro Pérez, J. E. Amaro, E. Ruiz Arriola, Phys. Rev. C 91, 054002 (2015), and references to the comprehensive work by the Granada group therein

  167. B.D. Carlsson et al., Phys. Rev. X 6, 011019 (2016)

    Google Scholar 

  168. P. Reinert, H. Krebs, E. Epelbaum, Eur. Phys. J. A 54, 86 (2018)

    ADS  Google Scholar 

  169. A. Ekstrőm, G. Hagen, T.D. Morris, T. Papenbrock, P.D. Schwartz, Phys. Rev. C 97, 024332 (2018)

    ADS  Google Scholar 

  170. G. P. Lepage, How to Renormalize the Schrödinger Equation. arXiv:nucl-th/9706029

  171. E. Marji et al., Phys. Rev. C 88, 054002 (2013)

    ADS  Google Scholar 

  172. V.G.J. Stoks, R.A.M. Klomp, M.C.M. Rentmeester, J.J. de Swart, Phys. Rev. C 48, 792 (1993)

    ADS  Google Scholar 

  173. W. J. Briscoe, I. I. Strakovsky, R. L. Workman, SAID Partial-Wave Analysis Facility, Data Analysis Center, The George Washington University, solution SP07 (Spring 2007)

  174. V. Bernard, N. Kaiser, U.-G. Meißner, Nucl. Phys. A 615, 483 (1997)

    ADS  Google Scholar 

  175. U. van Kolck, Phys. Rev. C 49, 2932 (1994)

    ADS  Google Scholar 

  176. E. Epelbaum, A. Nogga, W. Glöckle, H. Kamada, U.-G. Meißner, H. Witala, Phys. Rev. C 66, 064001 (2002)

    ADS  Google Scholar 

  177. N. Kaiser, Phys. Rev. C 61, 014003 (2000)

    ADS  Google Scholar 

  178. N. Kaiser, Phys. Rev. C 62, 024001 (2000)

    ADS  Google Scholar 

  179. V. Bernard, E. Epelbaum, H. Krebs, U.-G. Meißner, Phys. Rev. C 77, 064004 (2008)

    ADS  Google Scholar 

  180. V. Bernard, E. Epelbaum, H. Krebs, U.-G. Meißner, Phys. Rev. C 84, 054001 (2011)

    ADS  Google Scholar 

  181. E. Epelbaum, Eur. Phys. J. A 34, 197 (2007)

    ADS  Google Scholar 

  182. H. Krebs, A. Gasparyan, E. Epelbaum, Phys. Rev. C 87, 054007 (2013)

    ADS  Google Scholar 

  183. L. Girlanda, A. Kievsky, M. Viviani, Phys. Rev. C 84, 014001 (2011)

    ADS  Google Scholar 

  184. D. R. Entem, R. Machleidt, unpublished

  185. U.D. Jentschura, A. Matveev, C.G. Parthey, J. Alnis, R. Pohl, T. Udem, N. Kolachevsky, T.W. Ha̋nsch, Phys. Rev. A 83, 042505 (2011)

    ADS  Google Scholar 

  186. E. Caurier, P. Navratil, W.E. Ormand, J.P. Vary, Phys. Rev. C 66, 024314 (2002)

    ADS  Google Scholar 

  187. K. Hebeler, S.K. Bogner, R.J. Furnstahl, A. Nogga, A. Schwenk, Phys. Rev. C 83, 031301(R) (2011)

    ADS  Google Scholar 

  188. F. Sammarruca, B. Chen, L. Coraggio, N. Itaco, R. Machleidt, Phys. Rev. C 86, 054317 (2012)

    ADS  Google Scholar 

  189. L. Coraggio, J.W. Holt, N. Itaco, R. Machleidt, L.E. Marcucci, F. Sammarruca, Phys. Rev. C 89, 044321 (2014)

    ADS  Google Scholar 

  190. F. Sammarruca, L. Coraggio, J.W. Holt, N. Itaco, R. Machleidt, L.E. Marcucci, Phys. Rev. C 91, 054311 (2015)

    ADS  Google Scholar 

  191. R. Machleidt, F. Sammarruca, Phys. Scr. 91, 083007 (2016)

    ADS  Google Scholar 

  192. J.L. Friar, D. Huber, U. van Kolck, Phys. Rev. C 59, 53 (1999)

    ADS  Google Scholar 

  193. S.A. Coon, H.K. Han, Few Body Syst. 30, 131 (2001)

    ADS  Google Scholar 

  194. P. Navratil, Few Body Syst. 41, 117 (2007)

    ADS  Google Scholar 

  195. A. Nogga, P. Navratil, B.R. Barrett, J.P. Vary, Phys. Rev. C 73, 064002 (2006)

    ADS  Google Scholar 

  196. L.E. Marcucci, A. Kievsky, S. Rosati, R. Schiavilla, M. Viviani, Phys. Rev. Lett. 108, 052502 (2012)

    ADS  Google Scholar 

  197. P. Navratil, R. Roth, S. Quaglioni, Phys. Rev. C 82, 034609 (2010)

    ADS  Google Scholar 

  198. M. Viviani, L. Girlanda, A. Kievsky, L.E. Marcucci, Phys. Rev. Lett. 111, 172302 (2013)

    ADS  Google Scholar 

  199. P. Navratil, V.G. Gueorguiev, J.P. Vary, W.E. Ormand, A. Nogga, Phys. Rev. Lett. 99, 042501 (2007)

    ADS  Google Scholar 

  200. R. Roth, J. Langhammer, A. Calci, S. Binder, P. Navratil, Phys. Rev. Lett. 107, 072501 (2011)

    ADS  Google Scholar 

  201. R. Roth, S. Binder, K. Vobig, A. Calci, J. Langhammer, P. Navratil, Phys. Rev. Lett. 109, 052501 (2012)

    ADS  Google Scholar 

  202. H. Hagen, M. Hjorth-Jensen, G.R. Jansen, R. Machleidt, T. Papenbrock, Phys. Rev. Lett. 108, 242501 (2012)

    ADS  Google Scholar 

  203. H. Hagen, M. Hjorth-Jensen, G.R. Jansen, R. Machleidt, T. Papenbrock, Phys. Rev. Lett. 109, 032502 (2012)

    ADS  Google Scholar 

  204. B.R. Barrett, P. Navratil, J.P. Vary, Prog. Part. Nucl. Phys. 69, 131 (2013)

    ADS  Google Scholar 

  205. H. Hergert, S.K. Bogner, S. Binder, A. Calci, J. Langhammer, R. Roth, A. Schwenk, Phys. Rev. C 87, 034307 (2013)

    ADS  Google Scholar 

  206. G. Hagen, T. Papenbrock, M. Hjorth-Jensen, D.J. Dean, Rept. Prog. Phys. 77, 096302 (2014)

    ADS  Google Scholar 

  207. S. Binder, J. Langhammer, A. Calci, R. Roth, Phys. Lett. B 736, 119 (2014)

    ADS  Google Scholar 

  208. G. Hagen, G.R. Jansen, T. Papenbrock, Phys. Rev. Lett. 117, 172501 (2016)

    ADS  Google Scholar 

  209. J. Simonis, K. Hebeler, J.D. Holt, J. Menendez, A. Schwenk, Phys. Rev. C 93, 011302 (2016)

    ADS  Google Scholar 

  210. J. Simonis, S.R. Stroberg, K. Hebeler, J.D. Holt, A. Schwenk, Phys. Rev. C 96, 014303 (2017)

    ADS  Google Scholar 

  211. T.D. Morris, J. Simonis, S.R. Stroberg, C. Stumpf, G. Hagen, J.D. Holt, G.R. Jansen, T. Papenbrock, R. Roth, A. Schwenk, Phys. Rev. Lett. 120, 152503 (2018)

    ADS  Google Scholar 

  212. V. Soma, P. Navratil, F. Raimondi, C. Barbieri, T. Duguet, arXiv:1907.09790 [nucl-th]

  213. K. Hebeler, A. Schwenk, Phys. Rev. C 82, 014314 (2010)

    ADS  Google Scholar 

  214. G. Hagen, T. Papenbrock, A. Ekstrőm, K.A. Wendt, G. Baardsen, S. Gandolfi, M. Hjorth-Jensen, C.J. Horowitz, Phys. Rev. C 89, 014319 (2014)

    ADS  Google Scholar 

  215. L. Coraggio, J.W. Holt, N. Itaco, R. Machleidt, F. Sammarruca, Phys. Rev. C 87, 014322 (2013)

    ADS  Google Scholar 

  216. J. Golak et al., Eur. Phys. J. A 50, 177 (2014)

    ADS  Google Scholar 

  217. T. Krűger, I. Tews, K. Hebeler, A. Schwenk, Phys. Rev. C 88, 025802 (2013)

    ADS  Google Scholar 

  218. C. Drischler, A. Carbone, K. Hebeler, A. Schwenk, Phys. Rev. C 94, 054307 (2016)

    ADS  Google Scholar 

  219. K. Hebeler, H. Krebs, E. Epelbaum, J. Golak, R. Skibinski, Phys. Rev. C 91, 044001 (2015)

    ADS  Google Scholar 

  220. C. Drischler, K. Hebeler, A. Schwenk, Phys. Rev. Lett. 122, 042501 (2019)

    ADS  Google Scholar 

  221. J. Hoppe, C. Drischler, K. Hebeler, A. Schwenk, J. Simonis, Phys. Rev. C 100, 024318 (2019)

    ADS  Google Scholar 

  222. T. Hűther, K. Vobig, K. Hebeler, R. Machleidt, R. Roth, Family of Chiral Two- plus Three-Nucleon Interactions for Accurate Nuclear Structure Studies, arXiv:1911.04955 [nucl-th]

  223. L. Girlanda, A. Kievsky, M. Viviani, L.E. Marcucci, Phys. Rev. C 99, 054003 (2019)

    ADS  Google Scholar 

  224. S. Shimizu et al., Phys. Rev. C 52, 1193 (1995)

    ADS  Google Scholar 

  225. D. Rozpedzik, J. Golak, R. Skibinski, H. Witala, W. Glöckle, E. Epelbaum, A. Nogga, H. Kamada, Acta Phys. Polon. B 37, 2889 (2006). arXiv:nucl-th/0606017

    ADS  Google Scholar 

  226. N. Kaiser, Eur. Phys. J. A 48, 135 (2012)

    ADS  Google Scholar 

  227. N. Kaiser, R. Milkus, Eur. Phys. J. A 52, 4 (2016)

    ADS  Google Scholar 

  228. N. Kaiser, R. Milkus, hys. Rev. C 92, 064001 (2015)

    ADS  Google Scholar 

  229. R.J. Furnstahl, D.R. Phillips, S. Wesolowski, J. Phys. G 42, 034028 (2015)

    ADS  Google Scholar 

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Acknowledgements

This work was supported in part by the U.S. Department of Energy under Grant No. DE-FG02-03ER41270.

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  1. Department of Physics, University of Idaho, Moscow, ID, 83844, USA

    R. Machleidt & F. Sammarruca

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Communicated by V. Somà

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Machleidt, R., Sammarruca, F. Can chiral EFT give us satisfaction?. Eur. Phys. J. A 56, 95 (2020). https://doi.org/10.1140/epja/s10050-020-00101-3

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