The Nucleon-Nucleon Interaction in a Chiral Effective Field Theory

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4.3. Phase shifts 137 12 10 1 D2 [deg] 3Dl [deg] , , , , �, , , -10 ' , , ��':--''':,:::-... 8 , )v , -15 ', ........ , ........ ' / , , , -20 "::�:-. .......... 6 , , , , , , , , , -25 , , , , , , , , / , , 4 , , , , -30 , , , , , , , , , , , , -35 2 , / -- ------- , , , , - - -- -40 t":'-"'. 0 -45 0 0.05 0.1 0.15 0.2 0.25 0.3 0 0.05 0.1 0.15 0.2 0.25 0.3 3D2 [deg] 3D 3 [deg] 40 6 35 4 0 30 25 //"
138 4. The two-nuc1eon system: numerical results 20 .-. 950 MeV .... 15 0> Q) ::2.. 10 (\) 0 875 MeV 800 MeV • Nijm PSA • I 5 0 --.J (\) z 0 -5 20 0 0.1 0.2 0.3 .-. .... 0> 15 950 MeV 875 MeV Q) ::2.. 10 (\) 800 MeV • Nijm PSA • 0 � I 5 0 --.J C') z 0 -5 - --- ------------::.= - 0 0.1 0.2 0.3 E1ab [GeV] Figure 4.9: The 1 D2 partial wave at NNLO for three different values of the cut-off A (upper panel) and at N3LO (lower panel). The diamonds are the result of the Nijmegen partial wave analysis. - - - -
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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 .... .
Page 97 and 98: 86 3. The derivation of nuclear for
Page 99 and 100: 88 3. The derivation of nuclear for
Page 101 and 102: 90 3. The derivation of nuc1ear for
Page 103 and 104: 92 3. The derivation of nuc1ear for
Page 105 and 106: 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: 136 4. The two-nucleon system: nume
Page 151 and 152: 140 4. The two-nucleon system: nume
Page 157 and 158: 146 --- .... . � - --- .... . ...
Page 159 and 160: 148 � .... --- � � .... --- :
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
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To keep the presentation self-conta
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- i�03{ [(NtVN) . (VNt x ifN) + (
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Consequently, it is not possible to
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(j ± 1, 1jIVIJ =f 1, 1j) Here, Pj
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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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