Model independent low momentum nucleon interaction from phase shift equivalence

作者: S.K. Bogner , T.T.S. Kuo , A. Schwenk

DOI: 10.1016/J.PHYSREP.2003.07.001

关键词: Quantum electrodynamicsQuantum mechanicsInvariant massCutoffMomentumAngular momentum operatorAngular momentum couplingTotal angular momentum quantum numberPosition and momentum spaceRenormalization groupPhysics

摘要: Abstract We present detailed results for the model-independent low momentum nucleon–nucleon interaction V k . By introducing a cutoff in space, we separate Hilbert space into and high part. The renormalization group is used to construct effective starting from various precision potential models commonly nuclear many-body calculations. With range of Λ∼2.1 fm −1 , new independent input model, reproduces experimental phase shift data corresponding laboratory energies below E lab ∼350 MeV as well deuteron binding energy with similar accuracy realistic potentials. model independence demonstrates that physics nucleons interacting at momenta does not depend on details dynamics assumed conventional models. have components larger than cutoff, consequence considerably softer Therefore, when microscopic problem, effects particle–particle channel do be addressed by performing Brueckner ladder resummation or short-range correlation methods. varying study how reached different partial waves. This provides numerical evidence separation scales physical insight nature interaction.

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