Low-energy constants and relativity in peripheral nucleon-nucleon scattering
In our recent works we derived a chiral O(q{sup 4}) two-pion exchange nucleon-nucleon potential (TPEP) formulated in a relativistic baryon (RB) framework, expressed in terms of the so called low energy constants (LECs) and functions representing covariant loop integrations. We showed that the expansion of these functions in powers of the inverse of the nucleon mass reproduces most of the terms of the TPEP derived from the heavy baryon (HB) formalism, but such an expansion is ill defined and does not converge at large distances. In the present work we perform a study of the phase shifts in nucleon-nucleon (NN) scattering for peripheric waves (L/geq 3), which are sensitive to the tail of the potential. We assess quantitatively the differences between the RB and HB results, as well as variations due to different values of the LECs. By demanding consistency between the LECs used in {pi} N and NN scattering we show how NN peripheral phase shifts could constrain these.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Energy Research (ER) (US)
- DOE Contract Number:
- AC05-84ER40150
- OSTI ID:
- 834547
- Report Number(s):
- JLAB-05-04-293; DOE/ER/40150/2985; TRN: US0407352
- Resource Relation:
- Other Information: No journal information given for this preprint; PBD: 1 Nov 2004
- Country of Publication:
- United States
- Language:
- English
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