6533b825fe1ef96bd1281c77

RESEARCH PRODUCT

Energy-weighted M1 sum rule with explicit δ degrees of freedom

Hartmuth ArenhövelHartmuth ArenhövelMauro GianniniMauro Giannini

subject

Reduction (complexity)PhysicsNuclear and High Energy PhysicsLinearity of differentiationRule of sumDegrees of freedomMathematical analysisOrder (group theory)Sum rule in quantum mechanicsAbsolute value (algebra)Wave function

description

Abstract The influence of Δ degrees of freedom on the energy-weighted M1 sum rule is investigated and applied to 2 H and 4 He. Using π- and ρ-exchange potentials a reduction of the potential contribution of the order of 50% is obtained. The absolute value of the sum rule is strongly dependent on the short-range behaviour of the nuclear wave function. Furthermore, the contribution of c.m. effects is evaluated and found to be of the order of 5–10%.

https://doi.org/10.1016/0375-9474(85)90555-x