Selected Publications: Density matrix expansion for low-
momentum interactions, S.K. Bogner,
R.J. Furnstahl and L. Platter, Eur. Phys.
J. A39, 219 (2009)
Similarity renormalization group for nucleon-
nucleon interactions, S.K. Bogner, R.J.
Furnstahl and R.J. Perry, Phys. Rev. C 75,
061001 (2007)
Is nuclear matter perturbative with low-
momentum interactions?, S.K. Bogner,
A. Schwenk, R.J. Furnstahl and A. Nogga,
Nucl. Phys. A 763, 59 (2005)
Model-independent low-momentum nucleon
interaction from phase shift equivalence,
S.K. Bogner, A. Schwenk, G.E. Brown and
T.T.S. Kuo, Phys. Rept. 386, 1 (2003)
My research focuses on applications of renormalization
group (RG) and effective field theory (EFT) methods to
the microscopic description of nuclei and nuclear matter.
EFT and RG methods have long enjoyed a prominent role in condensed matter and high energy theory due to their power of simplification and generality. More recently, these complementary techniques have become quite widespread in low-energy nuclear physics, enabling for the first time the prospect for model-independent calculations of nuclear structure with controllable theoretical errors. From a computational perspective, the use of EFT and RG techniques substantially simplifies many-body calculations by restricting the necessary degrees of freedom to the energy scales of interest.
A consequence of using such methods to eliminate irrelevant high-momentum degrees of freedom is that nuclear many-body calculations become much more amenable to straightforward perturbative methods, simple (i.e., less correlated) variational ansätze, and rapidly convergent basis expansions. Since a mean-field description now becomes a reasonable starting point for nuclei and nuclear matter, the large arsenal of techniques developed for non-uniform electronic systems (e.g., density functional methods) become available for nuclei. Density functional theory (DFT) is the ideal framework to describe properties of the medium-to-heavy regions of the nuclear mass table where ab-initio methods are computationally prohibitive. Developing a microscopically-based, universal nuclear energy density functional (UNEDF) derived from underlying nuclear Hamiltonians is a major component of the DOE-funded Scientific Discovery thru Advanced Computing (SciDAC) project "Building a Universal Nuclear Energy Density Functional" that I am a part of, along with my colleague Alex Brown. My research program presents a diverse range of research opportunities for potential Ph.D. students, encompassing three very different (but interrelated) components that offer a balance of analytical and numerical work: 1) inter-nucleon interactions, 2) ab-initio methods for finite nuclei and infinite nuclear matter, and 3) density functional theory for nuclei.
Figure illustrating the accelerated convergence using RG-improved interactions in no-core shell model (NCSM) calculations of 4He.