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The renormalisation group and nuclear forces
"... I give an outline of recent applications of the renormalisation group to effective theories of nuclear forces, focussing on the use of a Wilsonian approach to analyse systems of two or three nonrelativistic particles. ..."
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I give an outline of recent applications of the renormalisation group to effective theories of nuclear forces, focussing on the use of a Wilsonian approach to analyse systems of two or three nonrelativistic particles.
Effective field theory approach for the M1 properties of A=2 and 3 nuclei
, 705
"... The magnetic moments of 2 H, 3 He and 3 H as well as the thermal neutron capture rate on the proton are calculated using the heavy baryon chiral perturbation theory a la Weinberg. The M1 operators have been derived up to N 3 LO. The nuclear matrix elements are evaluated with the use of wave function ..."
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The magnetic moments of 2 H, 3 He and 3 H as well as the thermal neutron capture rate on the proton are calculated using the heavy baryon chiral perturbation theory a la Weinberg. The M1 operators have been derived up to N 3 LO. The nuclear matrix elements are evaluated with the use of wave functions obtained by carrying out variational Monte Carlo calculations for a realistic nuclear Hamiltonian involving high-precision phenomenological potentials, examples being the Argonne Av18 and Urbana IX tri-nucleon interactions. We discuss the potential- and cutoff-dependence of the results.
Nuclear Physics B Proceedings Supplement The Renormalization Group in Nuclear Physics
"... Modern techniques of the renormalization group (RG) combined with effective field theory (EFT) methods are revolutionizing nuclear many-body physics. In these lectures we will explore the motivation for RG in low-energy nuclear systems and its implementation in systems ranging from the deuteron to n ..."
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Modern techniques of the renormalization group (RG) combined with effective field theory (EFT) methods are revolutionizing nuclear many-body physics. In these lectures we will explore the motivation for RG in low-energy nuclear systems and its implementation in systems ranging from the deuteron to neutron stars, both formally and in practice. Flow equation approaches applied to Hamiltonians both in free space and in the medium will be empha-sized. This is a conceptually simple technique to transform interactions to more perturbative and universal forms. An unavoidable complication for nuclear systems from both the EFT and flow equation perspective is the need to treat many-body forces and operators, so we will consider these aspects in some detail. We’ll finish with a survey of current developments and open problems in nuclear RG.
