Three-nucleon forces from chiral effective field theory

Physical Review C - Nuclear Physics

Volumn 66, Issue 6, 2002, Pages 640011-640017

  Epelbaum, E ^a   Nogga, A ^b   Glockle W ^a   Kamada, H ^c   Meißner, Ulf G ^d,e   Witala H ^f  

^a RUHR UNIVERSITY BOCHUM   (Germany)

^b The University of Arizona   (United States)

^c KYUSHU INSTITUTE OF TECHNOLOGY   (Japan)

^d FORSCHUNGSZENTRUM JÜLICH   (Germany)

^e UNIVERSITY OF GRAZ   (Austria)

^f JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037005037     PISSN: 05562813     EISSN: 1089490X     Source Type: Journal    
DOI: 10.1103/PhysRevC.66.064001     Document Type: Article

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76. From the point of view of an effective field theory it makes little sense to include only the 2N force and to omit the 3NF contributing at the same order. In [10] we followed however the common trend in the field of few-nucleon physics and calculated various 3N observables based on our NNLO 2N potential for illustrative purposes. Such comparisons are helpful to identify the observables and kinematics most sensitive to the 3NF once a particular 2NF is specified.
77. Similar observation for the purely short-range part of the 3NF has been made by Bedaque et al. [20], while Stewart pointed out that the two OPE terms in the expressions for the 3NF published in [12] are not independent from each other. Since these statements do not appear in the literature in a complete form we decided to demonstrate this explicitly here.
78. Such factors can be calculated from expressions of the 3NF. For example, the antisymmetrized expression of the third term in Eq. (8) is 3 times smaller than the one of the fourth term, which has two additional insertions of the Pauli spin matrices.
79. In fact, it would also be sufficient to make an estimation of the isospin breaking effects based upon purely 2N forces at the level of precision of NNLO.
80. One should be careful by looking at results which appear in the literature and sometimes indicate quite a strong deviation from the Phillips line. Especially earlier calculations have often been performed using not phase-equivalent potentials and with restricted accuracy.
81. D is excluded by the observed value of the doublet scattering length.
82. E, which is, however, strongly reduced as soon as one requires that the triton BE be reproduced.
83. 21 can be observed at 3 MeV as well, if rip-force corrections are taken into account.