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I give an outline of recent applications of the renormalisation group to effective theories of nuclear forces, focussing on the use of a Wilsonian approach to analyse systems of two or three nonrelativistic particles.
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Blatt, J. M. & Jackson, J. D. 1949 On the interpretation of neutron-proton scattering data by the Schwinger variational method. Phys. Rev
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Phillips, A. C. 1968 Consistency of the low-energy three-nucleon observables and the separable interaction model. Nucl. Phys
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Efimov, V. N. 1971 Weakly-bound states of three resonantly interacting particles. Sov. J. Nucl. Phys
1971
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Tjon, J. A. 1975 Bound states of 4 He with local interactions. Phys. Lett
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Phillips, A. C. 1977 Three-body systems in nuclear physics. Rep. Prog. Phys
1977
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Efimov, V. N. 1979 Low-energy properties of three resonantly interacting particles. Sov. J. Nucl. Phys
1979
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Weinberg, S. 1979 Phenomenological Lagrangians. Physica
1979
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Badalyan, A. M., Kok, L. P., Polikarpov, M. I. & Simonov, Yu. A. 1982 Resonances in coupled channels in nuclear and particle physics. Phys. Rep
1982
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van Haeringen, H. & Kok, L. P. 1982 Modified effective-range function. Phys. Rev
1982
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Weinberg, S. 1990 Nuclear forces from chiral Lagrangians. Phys. Lett
1990
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Weinberg, S. 1991 Effective chiral Lagrangians for nucleon-pion interactions and nuclear forces. Nucl. Phys
1991
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Wetterich, C. 1993 Exact evolution equation for the effective potential. Phys. Lett
1993
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Lepage, G. P. 1997 How to renormalize the Schrödinger equation. arXiv:nucl-th/9706029
1997
Earlier work this paper cites.
Bedaque, P. F. & van Kolck, U. 1998 Nucleon-deuteron scattering from an effective field theory. Phys. Lett
1998
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Bedaque, P. F., Hammer, H.-W. & van Kolck, U. 1998 Effective theory for neutron-deuteron scattering: energy dependence. Phys. Rev
1998
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Birse, M. C., McGovern, J. A. & Richardson, K. G. 1999 A renormalisation-group treatment of two-body scattering. Phys. Lett
1999
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Frederico, T., Timóteo, V. S. & Tomio, L. 1999 Renormalization of the one-pion-exchange interaction. Nucl. Phys
1999
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Kong, X. & Ravndal, F. 1999 Proton-proton scattering lengths from effective field theory. Phys. Lett
1999
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Phillips, D. R., Beane, S. R. & Birse, M. C. 1999 Scheming in dimensional regularization. J. Phys. A: Math. Gen
1999
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van Kolck, U. 1999 Effective field theory for short-range forces. Nucl. Phys
1999
Earlier work this paper cites.
Bedaque, P. F., Hammer, H.-W. & van Kolck, U. 2000 Effective theory of the triton. Nucl.Phys
2000
Earlier work this paper cites.
Frederico, T., Delfino, A. & Tomio, L. 2000 Renormalization group invariance of quantum mechanics. Phys. Lett
2000
Cited alongside, same era.
Kong, X. & Ravndal, F. 2000 Coulomb effects in low energy proton-proton scattering. Nucl. Phys
2000
Cited alongside, same era.
Beane, S. R., Bedaque, P. F., Haxton, W. C., Phillips, D. R. & Savage, M. J. 2001 From hadrons to nuclei: crossing the border. In At the frontier of particle physics: handbook of QCD
2001
Cited alongside, same era.
Hammer, H.-W. & Mehen, T. 2001 A renormalized equation for the three-body system with short-range interactions. Nucl. Phys
2001
Cited alongside, same era.
Bedaque, P. F. & van Kolck, U. 2002 Ann. Rev. Nucl. Part. Sci
2002
Cited alongside, same era.
Fleming, S., Kusunoki, M., Mehen, T. & van Kolck, U. 2007 Pion interactions in the X(3872), Phys. Rev
2007
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Platter, L. & Hammer, H.-W. 2007 Universal properties of the four-body system with large scattering length. Eur. Phys. J
2007
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Ando, S. & Birse, M. C. 2008 Renormalization-group analysis for low-energy scattering of charged particles. Phys. Rev
2008
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Birse, M. C. 2008 Functional renormalisation group for two-body scattering. Phys. Rev
2008
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Diehl, S., Krahl, H. C. & Scherer, M. 2008 Three-body scattering from nonperturbative flow equations. Phys. Rev
2008
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Berges, J., Tetradis, N & Wetterich, C. 2002 Non-perturbative renormalization flow in quantum field theory and statistical physics. Phys. Rep
2002
Cited alongside, same era.
Bertulani, C. A., Hammer, H.-W. & van Kolck, U. 2002 Effective field theory for halo nuclei: shallow p p -wave states. Nucl. Phys
2002
Cited alongside, same era.
Barford, T. & Birse, M. C. 2003 A renormalisation group approach to two-body scattering in the presence of long-range forces. Phys. Rev
2003
Cited alongside, same era.
Afnan, I. R. & Phillips, D. R. 2004 The three-body problem with short-range forces: renormalized equations and regulator-independent results. Phys. Rev
2004
Cited alongside, same era.
Braaten, E. & Kusunoki, M. 2004 Low-energy universality and the new charmonium resonance at 3870 MeV. Phys. Rev
2004
Cited alongside, same era.
Głazek, S. D & Wilson, K. G. 2004 Universality, marginal operators, and limit cycles. Phys. Rev
2004
Cited alongside, same era.
Platter, L., Hammer, H.-W. & Meissner, U.-G. 2004 The four-boson system with short-range interactions. Phys. Rev
2004
Cited alongside, same era.
2008
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Jurgenson, E. D., Bogner, S. K., Furnstahl, R. J. & Perry, R. J. 2008 Decoupling in the similarity renormalization group for nucleon-nucleon forces. Phys. Rev
2008
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Pavón Valderrama, M. & Ruiz Arriola, E. 2008 Renormalization group analysis of boundary conditions in potential scattering. Ann. Phys
2008
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Yang, C.-J., Elster, C. & Phillips, D. R. 2008 Subtractive renormalization of the NN scattering amplitude at leading order in chiral effective theory. Phys. Rev
2008
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Birse, M. C. 2009 More effective theory of nuclear forces. In Proc. 6th Int. Workshop on Chiral Dynamics, Bern, July 2009
2009
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Epelbaum, E. & Gegelia, J. 2009 Regularization, renormalization and “peratization” in effective field theory for two nucleons. Eur. Phys. J
2009
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Epelbaum, E., Hammer, H.-W. & Meissner, U.-G. 2009 Modern theory of nuclear forces. Rev. Mod. Phys
2009
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Floerchinger, S., Schmidt, R., Moroz, S. & Wetterich, C. 2009 Functional renormalization for trion formation in ultracold fermion gases. Phys. Rev
2009
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Hammer, H.-W. & Lee, D. 2009 Causality and universality in low-energy quantum scattering. Phys. Lett
2009
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Jurgenson, E. D., Navratil, P. & Furnstahl R. J. 2009 Evolution of nuclear many-body forces with the similarity renormalization group. Phys. Rev. Lett
2009
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Kaplan, D. B., Lee, J.-W., Son, D. T. & Mikhail A. Stephanov, M. A. 2009 Conformality lost. Phys. Rev
2009
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Moroz, S., Floerchinger, S., Schmidt, R. & Wetterich, C. 2009 Efimov effect from functional renormalization. Phys. Rev
2009
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Pavón Valderrama, M. & Ruiz Arriola, E. 2009 A two potential formula and its application to proton-proton scattering. Phys. Rev
2009
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Braaten, E., Hammer, H.-W. & Mehen, T. 2010 Scattering of an ultrasoft pion and the X(3872). Phys. Rev
2010
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2010
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Hammer, H.-W. & Lee, D. 2010 Causality and the effective range expansion. Ann. Phys
2010
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Schmidt, R. & Moroz, S. 2010 Renormalization group study of the four-body problem. Phys. Rev
2010
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