An accurate nucleon-nucleon potential with charge-independence breaking

Technical Report · Tue Aug 01 04:00:00 EDT 1995

DOI:https://doi.org/10.2172/166455· OSTI ID:166455

Wiringa, R. B.; Stoks, V. G.J. ^[1]; Schiavilla, R.

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1. Flinders Univ. of South Australia (Australia)

We constructed a new NN potential, designated Argonne v{sub 18}, with explicit charge-independence breaking. It supersedes our older v{sub 14} model, which was our standard nonrelativistic NN potential for most of the last decade. The main part of the new potential is charge-independent, like the old v{sub 14} model, with 14 components, each consisting of a radial function v{sub p}(r{sub 12}) multiplied by an operator: 1, {sigma}{sub 1}{center_dot}{sigma}{sub 2}, S{sub 12}, L{center_dot}S, L{sup 2}, L{sup 2}{sigma}{sub 1}{center_dot}{sigma}{sub 2}, and (L{center_dot}S){sup 2}, and each of these times {tau}{sub l}{center_dot}{tau}{sub 2}. Three charge-dependent and one charge-asymmetric operators are added along with a complete electromagnetic interaction, resulting in a model that fits pp, np, and nn data simultaneously. The charge-dependent operators are obtained by multiplying the spin operators 1, {sigma}{sub 1}{center_dot}{sigma}{sub 2}, and S{sub 12} by the isotensor T{sub 12} = 3{tau}{sub 1z}{tau}{sub 2z} - {tau}{sub 1}{center_dot}{tau}{sub 2}, which differentiates between np and pp or nn T = 1 states. A major source of charge dependence in NN interactions is the mass difference of the charged and neutral pions, which is carefully treated in the new model. The charge-asymmetric operator is {tau}{sub 1z}+{tau}{sub 2z} which splits pp and nn states; it is constrained by the difference between nn and pp scattering lengths. The electromagnetic interaction includes Coulomb, Darwin-Foldy, vacuum polarization, and magnetic moment terms. The potential was fit directly to the Nijmegen pp and np scattering database as well as the nn scattering length and deuteron binding energy. With {approximately}40 adjustable parameters it gives an excellent {chi}{sup 2}/degree of freedom of 1.09 for 4301 pp and np data in the range 0-350 MeV. A consistent set of two-body charge and current operators has also been derived to evaluate the deuteron electromagnetic form factors.

• Research Organization: Argonne National Lab., IL (United States)
• OSTI ID: 166455
• Report Number(s): ANL--95/14; ON: DE96000985
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHARGE INDEPENDENCE
ELECTROMAGNETIC FORM FACTORS
NUCLEAR MATTER
NUCLEON-NUCLEON POTENTIAL
PROGRESS REPORT
SCATTERING