The Nucleon-Nucleon Interaction in a Chiral Effective Field Theory

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4.4. Deuteron properties --- .... . --- 3: � --- .... . --- :::J --- .... . --- 3: --- .... . --- :::J 2 1 .5 S-wave 1 0.5 0 -0.5 -1 2 .... .. . -... .. . ./ -... .. . ./ --- - --- - - - - - - D-wave 0 1 2 3 1.5 S-wave 1 0.5 0 -0.5 -1 � - - - D-wave 0 1 2 3 r [fm] Figure 4.15: Coordinate space representations of the S� (solid line) and D� wave (dashed line) for the two unphysical boundstates. 147
148 � .... --- � � .... --- ::J 0.7 0.5 0.3 0.1 -0.1 -0.3 0.2 0. 15 0.1 0.05 0 -0.05 0 1 2 r\ I >-�A" I '\ I / "" I I ' I I "� I � I I ,� I I .... � f / .1..- ' 3 4 5 o 1 2 3 4 5 6 r [fm] 4. The two-nuc1eon system: numerical results _____________ 0 CD-Bonn NNLO 6 7 8 9 10 --- NNLO ---- CD-Bonn - -- - ---. ._ -- 7 8 9 10 Figure 4.16: Coordinate space representations of the S- (upper panel) and D-wave (lower panel) deuteron wave functions at NNLO compared to the one from the CD-Bonn potential.
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The Nucleon-Nucleon Interaction in
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11 vom ursprünglichen wesentlich u
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IV Ordnung des Potentials besteht a
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VI sagen für die Schwerpunktsimpul
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Vlll betrachten, um eine komplette
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x 5 Isospin violation in the two-nu
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2 1. Introduction nuclear force of
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4 1. Introduction the Thcson-Melbou
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6 1. Introduction pion-nucleon syst
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8 1. Introduction completely domina
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10 1. Introduction such interaction
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12 2. Low-momentum effective theori
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28 2. Low-momentum efIective theori
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36 2 o -2 -4 -6 -8 -10 � -12 t-
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38 (Eq - Ep )A(p, q) [GeV-2] 2 1.6
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42 -3 -5 -7 -9 2. Low-momentum effe
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Chapter 3 The derivation of nuclear
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50 3. The derivation of nuc1ear for
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52 and for the SU(Nf h x SU(Nf)R [Q
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54 3. The derivation of nuclear for
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66 3. The derivation o{ nuclear {or
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74 3. The derivation o{ nuc1ear {or
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84 .... . - - .... \ . • A .... .
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94 , , , , , , , , , , , , , , , ,
Page 107 and 108: 96 _ . . -.:;: " :,,,_ ._ . . _. 3.
Page 109 and 110: 98 3. The derivation o{ nuc1ear {or
Page 111 and 112: 100 3. The derivation o{ nuc1ear {o
Page 113 and 114: 102 3. The derivation o{ nuclear {o
Page 115 and 116: 104 3. The derivation of nuclear fo
Page 125 and 126: 114 / / / / / / / 5 / / \ \ \ \ I I
Page 127 and 128: 116 3. The derivation o{ nuc1ear {o
Page 131 and 132: 120 4. The two-nuc1eon system: nume
Page 145 and 146: 134 10 8 4 2 o o • Nijmegen PSA N
Page 147 and 148: 136 4. The two-nucleon system: nume
Page 151 and 152: 140 4. The two-nucleon system: nume
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Page 162 and 163: 4.5. Results for the NNLO-ß approa
Page 164 and 165: 5.1 Isospin violating effective Lag
Page 166 and 167: 5.1 Isospin violating effective Lag
Page 168 and 169: 5.2 Brief introduction into the KSW
Page 170 and 171: 5.3 The leading eIB and eSB effects
Page 172 and 173: 5.3 The leading CIB and CSB effects
Page 174 and 175: 5.5 Classification scheme 163 scatt
Page 176 and 177: Chapter 6 Summary and outlook In th
Page 178 and 179: 2. Secondly, we considered the real
Page 180 and 181: NNLO, this range is larger and exte
Page 182 and 183: might be responsible for solving th
Page 184 and 185: derivative. Further helpful equalit
Page 186 and 187: Appendix B Operators contributing t
Page 188 and 189: Appendix C Small scale expansion wi
Page 190 and 191: 179 (C.16) l�r-2. (C.17) h + l2 =
Page 192 and 193: Appendix E Anti-symmetrization of t
Page 194 and 195: Consequently, only four of the eigh
Page 196 and 197: where qJ-! is chosen to satisfy (v
Page 198 and 199: To keep the presentation self-conta
Page 200 and 201: - i�03{ [(NtVN) . (VNt x ifN) + (
Page 202 and 203: Consequently, it is not possible to
Page 204 and 205: (j ± 1, 1jIVIJ =f 1, 1j) Here, Pj
Page 206 and 207: Bibliography [1] E. Rutherford, Phi
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[62] J. Goldstone, A. Salam and S.
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[137] V. Bernard, N. Kaiser and Ulf
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[204] J.M. Blatt and L.C. Biedenhar
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The Nucleon-Nucleon Interaction in a Chiral Effective Field Theory

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