期刊
PHYSICAL REVIEW C
卷 89, 期 1, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevC.89.014002
关键词
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资金
- MINECO (Spain)
- ERDF (EU) [FPA2010-17806]
- Fundacion Seneca [11871/PI/09]
- EU-Research Infrastructure Integrating Activity Study of Strongly Interacting Matter (HadronPhysics2) the Seventh Framework Program of the EU [227431]
- Consolider-Ingenio 2010 Programme CPAN [CSD2007-00042]
- National Natural Science Foundation of China (NSFC) [11105038, 11075044]
- Natural Science Foundation of Hebei Province [A2011205093]
- Doctor Foundation of Hebei Normal University [L2010B04]
We consider nucleon-nucleon (NN) interactions from chiral effective field theory applying the N/D method. The dynamical input is given by the discontinuity of the NN partial-wave amplitudes across the left-hand cut (LHC) calculated in chiral perturbation theory by including one-pion exchange (OPE), once-iterated OPE, and leading irreducible two-pion exchange. We discuss both uncoupled and coupled partial waves. We show algebraically that the resulting integral equation has a unique solution when the input is taken only from OPE because it is of the Fredholm type with a squared integrable kernel and an inhomogeneous term. Phase shifts and mixing angles are typically rather well reproduced, and a clear improvement of the results obtained previously with only OPE is manifest. We also show that the contributions to the discontinuity across the LHC are amenable to a chiral expansion. Our method also establishes correlations between the S-wave effective ranges and scattering lengths based on unitarity, analyticity, and chiral symmetry.
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