Abstract
As the residual interaction of quantum chromodynamics in low-energy region, the nucleon-nucleon (NN) potential can only be exactly described by the model picture now. In the Bonn potential, one of the most well-known NN interaction models, the nucleons interact with each other through exchanging the pion and several heavier mesons, where the pion plays an essential role. It provides a partial contribution of tensor force in the intermediate-range region and the main component in the long-range region in NN potential. However, it is very difficult to be treated in the nuclear many-body system due to its pseudovector or pseudoscalar property. Recently, three high-precision charge-dependent Bonn potentials were proposed with pseudovector coupling types and different pion-nucleon coupling strengths and applied them to study the properties of nuclear matter and neutron stars in the non-relativistic and relativistic frameworks. Furthermore, to properly deal with the strong short-range repulsion and tensor force of the NN potential, some new relativistic ab initio methods have also been developed in the past decade to discuss the role of pion and relativistic effects in nuclear matter.
Similar content being viewed by others
References
A. Akmal, V.R. Pandharipande, D.G. Ravenhall, Phys. Rev. C 58, 1804 (1998)
D. Alonso, F. Sammarruca, Phys. Rev. C 68, 054305 (2003)
M.R. Ansatasio, L.S. Celenza, W.S. Pong, C.M. Shakin, Phys. Rep. 100, 327 (1983)
J. Antoniadis et al., Science 340, 6131 (2013)
M. Baldo, G.F. Burgio, Prog. Part. Nucl. Phys. 91, 203 (2016)
M. Baldo, C. Maieron, J. Phys. G 34, R243 (2007)
M. Bender, P.-H. Heenen, Rev. Mod. Phys. 75, 121 (2003)
H.A. Bethe, Phys. Rev. 103, 1353 (1956)
D.M. Bishop, L.M. Cheung, Phys. Rev. A 20, 381 (1979)
R. Brockmann, R. Machleidt, Phys. Rev. C 42, 1965 (1990)
K.A. Brueckner, C.A. Levinson, H.M. Mahmound, Phys. Rev. 95, 217 (1954)
A. Carbone, A. Polls, A. Rios, Phys. Rev. C 88, 044302 (2013)
A. Carbone, A. Rios, A. Polls, Phys. Rev. C 90, 054322 (2014)
J. Carlson, S. Gandolfi, F. Pederiva et al., Rev. Mod. Phys. 87, 1067 (2015)
R. Chen, B.J. Cai, L.W. Chen, B.A. Li, X.H. Li, C. Xu, Phys. Rev. C 85, 024305 (2012)
F. Coester, S. Cohen, B. Day, C.M. Vincent, Phys. Rev. C 1, 769 (1970)
H.T. Cromartie et al., Nat. Astron. 4, 72 (2020)
E.N.E. Dalen, H. Muether, Int. J. Mod. Phys. E 19, 2077 (2010)
P. Danielewicz, J. Lee, Nucl. Phys. A 818, 36 (2009)
P. Danielewicz, J. Lee, Nucl. Phys. A 922, 1 (2014)
P.B. Demorest, T. Pennucci, S.M. Ranson, M.S.E. Roberts, J.W.T. Hessels, Nature (London) 467, 1081 (2010)
W.H. Dickhoff, C. Barbieri, Prog. Part. Nucl. Phys. 52, 377 (2004)
S.K.D. Drechsel, L. Tiator, J. Phys. G 18, 449 (1992)
S.K.D. Drechsel, O. Hanstein, L. Tiator, Nucl. Phys. A 645, 145 (1999)
M. Drews, W. Weise, Phys. Rev. C 91, 035802 (2015)
M. Drews, W. Weise, Prog. Part. Nucl. Phys. 93, 69 (2017)
C. Drischler, V. Som\(\grave {a}\), A. Schwenk, Phys. Rev. C 89, 025806 (2014)
D.R. Entem, R. Machleidt, Phys. Rev. C 68, 041001(R) (2003)
D.R. Entem, N. Kaiser, R. Machleidt, Y. Nosyk, Phys. Rev. C 91, 014002 (2015)
D.R. Entem, R. Machleidt, Y. Nosyk, Phys. Rev. C 96, 024004 (2017)
E. Epelbaum, W. Glöckle, U.-G. Meißner, Nucl. Phys. A 637, 107 (1998)
E. Epelbaum, W. Glöckle, U.-G. Meißner, Nucl. Phys. A 671, 295 (2000)
E. Epelbaum, W. Glöckle, U.-G. Meißner, Nucl. Phys. A 747, 362 (2005)
E. Epelbaum, H. Krebs, U.-G. Meißner, Eur. Phys. J. A 51, 53 (2015a)
E. Epelbaum, H. Krebs, U.-G. Meißner, Phys. Rev. Lett. 115, 122301 (2015b)
K. Erkelenz, Phys. Rep. 13, 191 (1974)
H. Feldmeier, T. Neff, R. Roth, J. Schnack, Nucl. Phys. A632, 61 (1998)
E. Fonseca et al., Astrophys. J. 832, 167 (2016)
C. Fuchs, T. Waindzoch, A. Faessler, D.S. Kosov, Phys. Rev. C 58, 2022 (1998)
U. Garg, G. Col ó, Prog. Part. Nucl. Phys. 101, 55 (2018)
D.E. González Trotter et al., Phys. Rev. Lett. 83, 3788 (1999)
G. Hagen, T. Papenbrock, M. Hjorth-Jensen, D.J. Dean, Rep. Prog. Phys. 77, 096302 (2014a)
G. Hagen, T. Papenbrock, A. Ekström, K.A. Wendt, G. Baardsen, S. Gandolfi, M. Hjorth-Jensen, C.J. Horowitz, Phys. Rev. C 89, 014319 (2014b)
T. Hamada, I.D. Johnston, Nucl. Phys. 34, 382 (1962)
K. Horii, H. Toki, T. Myo, K. Ikeda, ar**v:1105.1420v1[nucl-th]
C.J. Horowitz, B.D. Serot, Nucl. Phys. A 464, 613 (1987)
T.L. Houk, Phys. Rev. C 3, 1886 (1971)
C.R. Howell et al., Phys. Lett. B 444, 252 (1998)
J. Hu, H. Toki, W. Wen, H. Shen, Phys. Lett. B 687, 271 (2010)
J. Hu, H. Toki, W. Wen, H. Shen, J. Bas. App. Phys. 1, 1 (2012)
J. Hu, H. Toki, Y. Ogawa, Prog. Theor. Exp. Phys. 2013, 103D02 (2013)
J. Hu, Y. Zhang, E. Epelbaum, U.-G. Meissner, J. Meng, Phys. Rev. C 96, 034307(2017)
K. Ikeda, T. Myo, K. Kato, H. Toki, Clusters in nuclei. Lect. Notes Phys. (Springer) 818, 165 (2010)
A.D. Jackson, D.O. Riska, B. Verwest, Nucl. Phys. A 249, 397 (1975)
R. Jastrow, Phys. Rev. 81, 165 (1951)
R. Jastrow, Phys. Rev. 98, 1479 (1955)
H. Kamada et al., Phys. Rev. C 64, 044001 (2001)
M.W. Kermode, S. Klarsfeld, D.W.L. Sprung et al., J. Phys. G 9, 57 (1983)
P.G. Krastev, F. Sammarruca, Phys. Rev. C 74, 025808 (2006)
M. Lacombe et al., Phys. Rev. D 12, 1495 (1975)
C. Lattes, G. Occhialini, H. Muirhead, C. Powell, Nature 159, 694 (1947)
Z.H. Li, U. Lombardo, H.-J. Schulze, W. Zuo, L.W. Chen, H.R. Ma, Phys. Rev. C 74, 047304 (2006)
Z.H. Li, U. Lombardo, H.-J. Schulze, W. Zuo, Phys. Rev. C 77, 034316 (2008)
B.A. Li, P.G. Krastev, D.H. Wen, N.B. Zhang, Eur. Phys. J. A 55, 117 (2019)
D. Logoteta, Phys. Rev. C 100, 045803 (2019)
J.X. Lu, C.X. Wang, Y. **ao, L.S. Geng, J. Meng, P. Ring, Phys. Rev. Lett. 128, 142002 (2022)
M. Lyu, T. Myo, H. Toki, H. Horiuchi, C. Xu, N. Wan, Phys. Lett. B 805, 135421 (2020)
R. Machleidt, Adv. Nucl. Phys. 19, 189 (1989)
R. Machleidt, Phys. Rev. C 63, 024001 (2001)
R. Machleidt, K. Holinde, C. Elster, Phys. Rep. 149, 1 (1987)
J. Martorell, D.W.L. Sprung, D.C. Zheng, Phys. Rev. C 51, 1127 (1995)
J. Meng, H. Toki, S.G. Zhou, S.Q. Zhang, W.H. Long, L.S. Geng, Prog. Part. Nucl. Phys. 57, 470 (2006)
G.A. Miller, M.K. Netfkens, I. Slaus, Phys. Rep. 194, 1 (1990)
M. Modarres, J. Phys. G: Nucl. Part. Phys. 19, 1349 (1993)
T. Myo, T. Kato, H. Toki, K. Ikeda, Phys. Rev. C 76, 054310 (2007)
T. Myo, H. Toki, K. Ikeda, Prog. Theor. Phys. 121, 511 (2009)
T. Neff, H. Feldmeier, Nucl. Phys. A713, 311 (2003)
T. Nikšić, D. Vretenar, P. Ring, Prog. Part. Nucl. Phys. 66, 519 (2011)
M. Oertel, M. Hempel, T. Klähn, S. Typel, Rev. Mod. Phys. 89, 015007 (2017)
Y. Ogawa, H. Toki, Ann. Phys. 326, 2039 (2011)
C. Ordóñez, L. Ray, U. van Kolck, Phys. Rev. Lett. 72, 1982 (1994)
C. Ordóñez, L. Ray, U. van Kolck, Phys. Rev. C 53, 2086 (1996)
R.V. Reid, Ann. Phys. (NY) 50, 411 (1968)
P. Reinert, H. Krebs, E. Epelbaum, Eur. Phys. J. A 54, 76 (2018)
P. Ring, Prog. Part. Nucl. Phys. 37, 193 (1996)
N.L. Rodning, L.D. Knutson, Phys. Rev. C 41, 898 (1990)
F. Sammarruca, Int. J. Mod. Phys. E 19, 1259 (2010)
F. Sammarruca, L.E. Marcucci, L. Coraggio, J.W. Holt, N. Itaco, R. Machleidt, ar**v:1807.06640 (2018)
S. Shen, J. Hu, H. Liang, J. Meng, P. Ring, S. Zhang, Chin. Phys. Lett. 33, 102103 (2016)
S. Shen, H. Liang, J. Meng, P. Ring, S.Q. Zhang, Phys. Rev. C 96, 014316 (2017)
S. Shen, H. Liang, W. Long, J. Meng, P. Ring, Prog. Part. Nucl. Phys. 109, 103713 (2019)
V.G.J. Stoks, R.A.M. Klomp, C.P.F. Terheggen, J.J. de Swart, Phys. Rev. C 49, 2950 (1994)
J.R. Stone, P.-G. Reinhard, Prog. Part. Nucl. Phys. 58, 587 (2007)
Y. Suzuki, W. Horiuchi, M. Orabi, K. Arai, Few Body Syst. 42, 33 (2008)
H. Toki, J. Hu, Chin. J. Phys. 55, 28 (2017)
H. Toki, S. Sugimoto, K. Ikeda, Prog. Theor. Phys. 108, 903 (2002)
M.B. Tsang, Y. Zhang, P. Danielewicz et al., Phys. Rev. Lett. 102, 122701 (2009)
M.B. Tsang, J.R. Stone, F. Camera et al., Phys. Rev. C 86, 015803 (2012)
D. Vretenar, A.V. Afanasjev, G.A. Lalazissis, P. Ring, Phys. Rep. 409, 101 (2005)
N. Wan, T. Myo, C. Xu, H. Toki, H. Horiuchi, M. Lyu, Chin. Phys. C 44, 124104 (2020)
C. Wang, J. Hu, Y. Zhang, H. Shen, Chin. Phys. C 43, 114107, (2019)
C. Wang, J. Hu, Y. Zhang, H. Shen, J. Phys. G 47, 105108 (2020a)
C. Wang, J. Hu, Y. Zhang, H. Shen, Astrophys. J. 897, 96 (2020a)
C. Wang, J. Hu, Y. Zhang, H. Shen, Chin. Phys. C 46, 064108 (2022)
S. Weinberg, Phys. Lett. B 251, 288 (1990)
S. Weinberg, Nucl. Phys. B 363, 3 (1991)
S. Weinberg, Phys. Lett. B 295, 114 (1992)
R.B. Wiringa, V.G.J. Stoks, R. Schiavilla, Phys. Rev. C 51, 38 (1995)
H. Yukawa, Proc. Phys. Math. Soc. Jpn. 17, 48 (1935)
Z. Zhang, L.W. Chen, Phys. Rev. C 92, 031301(R) (2015)
Acknowledgements
We thank Prof. H. Toki, Prof. H. Shen, Dr. Y. Ogawa, Dr. Y. Zhang, and Dr. W. Wen for fruitful discussions and collaborations. This work was supported in part by the National Natural Science Foundation of China (Grant Nos. 11775119 and 12175109) and the Natural Science Foundation of Tian** (Grant No: 19JCYBJC30800).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Section Editor information
Rights and permissions
Copyright information
© 2022 Springer Nature Singapore Pte Ltd.
About this entry
Cite this entry
Hu, J., Wang, C. (2022). Pion Exchange Interaction in Bonn Potential and Relativistic and Non-relativistic Framework in Nuclear Matter. In: Tanihata, I., Toki, H., Ka**o, T. (eds) Handbook of Nuclear Physics . Springer, Singapore. https://doi.org/10.1007/978-981-15-8818-1_57-1
Download citation
DOI: https://doi.org/10.1007/978-981-15-8818-1_57-1
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-8818-1
Online ISBN: 978-981-15-8818-1
eBook Packages: Springer Reference Physics and AstronomyReference Module Physical and Materials ScienceReference Module Chemistry, Materials and Physics