K. Joseph Abraham, Oleksiy Atramentov, Peter Peroncik, Bassam Shehadeh, Richard Lloyd, John R. Spence, James P. Vary, Thomas A. Weber, Iowa State University Petr Navratil,W. Erich Ormand, Lawrence Livermore National Laboratory Bruce R. Barrett, U. van Kolck, Hu Zhan, Ionel Stetcu, University of Arizona Andreas Nogga, Institute of Physics, Juelich, Germany E. Caurier, Institute Reserche Subatomique, Strasbourg, France Anna Hayes, Los Alamos National Laboratory M. Slim Fayache, S. Aroua, University of Tunis, Tunisia Cesar Viazminsky, University of Aleppo, Syria Mahmoud A. Hasan, University of Jordan, Jordan Andrey Shirokov, Moscow State University, Russia Alexander Mazur, Sergei Zaytsev, Khabarovsk State Technical University, Russia Alina Negoita, Sorina Popescu, Sabin Stoica, Institute of Atomic Physics, Romania Avaroth Harindranath, Dipankar Chakrabarty, Saha Institute of Nuclear Physics, India Grigorii Pivovarov, Victor Matveev, Institute for Nuclear Research, Moscow, Russia Lubo Martinovic, Institute of Physics Institute, Bratislava, Slovakia Kris Heyde, N. Smirnova, University of Gent, Belgium Larry Zamick, Rutgers University Ab-Initio No-Core Shell Model Recent Results and Future Promise I. Ab initio approach to nuclear structure II. Applications in nuclear physics and beyond 21st Winter Workshop on Nuclear Dynamics Breckenridge, Colorado, Feb 5-12, 2005
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Ab-Initio No-Core Shell Model Recent Results and Future Promise
Ab-Initio No-Core Shell Model Recent Results and Future Promise. K. Joseph Abraham, Oleksiy Atramentov, Peter Peroncik, Bassam Shehadeh, Richard Lloyd, John R. Spence, James P. Vary, Thomas A. Weber, Iowa State University Petr Navratil,W. Erich Ormand, Lawrence Livermore National Laboratory - PowerPoint PPT Presentation
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K. Joseph Abraham, Oleksiy Atramentov, Peter Peroncik, Bassam Shehadeh,
Richard Lloyd, John R. Spence, James P. Vary, Thomas A. Weber, Iowa State University
Petr Navratil,W. Erich Ormand, Lawrence Livermore National Laboratory
Bruce R. Barrett, U. van Kolck, Hu Zhan, Ionel Stetcu, University of Arizona
Andreas Nogga, Institute of Physics, Juelich, Germany
E. Caurier, Institute Reserche Subatomique, Strasbourg, France
Anna Hayes, Los Alamos National Laboratory
M. Slim Fayache, S. Aroua, University of Tunis, Tunisia
Cesar Viazminsky, University of Aleppo, Syria
Mahmoud A. Hasan, University of Jordan, Jordan
Andrey Shirokov, Moscow State University, Russia
Alexander Mazur, Sergei Zaytsev, Khabarovsk State Technical University, Russia
Alina Negoita, Sorina Popescu, Sabin Stoica, Institute of Atomic Physics, Romania
Avaroth Harindranath, Dipankar Chakrabarty, Saha Institute of Nuclear Physics, India
Grigorii Pivovarov, Victor Matveev, Institute for Nuclear Research, Moscow, Russia
Lubo Martinovic, Institute of Physics Institute, Bratislava, Slovakia
Kris Heyde, N. Smirnova, University of Gent, Belgium
Larry Zamick, Rutgers University
Ab-Initio No-Core Shell ModelRecent Results and Future Promise
I. Ab initio approach to nuclear structureII. Applications in nuclear physics and beyondIII. Conclusions and Outlook
21st Winter Workshop on Nuclear DynamicsBreckenridge, Colorado, Feb 5-12, 2005
Constructing the non-perturbative theory bridge between“Short distance physics” “Long distance physics”
Asymptotically free current quarks Constituent quarksChiral symmetry Broken Chiral symmetryHigh momentum transfer processes Meson and Baryon Spectroscopy
NN interactions
H(bare operators) HeffBare transition operators Effective charges, GT quenching, etc.
Bare NN, NNN interactions Effective NN, NNN interactions fitting 2-body data describing low energy nuclear dataShort range correlations & Mean field, pairing, & strong tensor correlations quadrupole, etc., correlations
BOLD CLAIM We now have the tools to accomplish this program in
nuclear many-body theory
Traditional meson-exchange theory (Nijmegen X, CD Bonn X, AVX, etc.,) Effective field theory with roots in QCD (EFT, Idaho X, NXLO, etc.,) Renormalization group reduced bare NN interactions (V-lowk) Off-shell variations of bare NN interactions (INOY-X, etc.,) Inverse scattering theory (ISTP, JISPX, etc.,)
The tools are now sufficiently robust to provideprecision tests of the Hamiltonians themselvesArgonne-LANL-Urbana (GFMC) pioneered this path
Hamiltonian fittingNN and NNN data
Nuclear spectra and EM properties
Once these issues resolved, we have the tools to make high precision predictions for tests of fundamental symmetries in nuclear experiments.
New and Emerging NN, NNN interactions fitting NN and NNN data
H acts in its full infinite Hilbert Space
Heff of finite subspace
Ab Initio No-Core Shell Model
€
H =Trel + V (a)
€
HA = Trel +V = [(
r p i −
r p j )
2
2mA+ Vij
i< j
A
∑ ] + VNNN
P. Navratil, J.P. Vary and B.R. Barrett, Phys. Rev. Lett. 84, 5728(2000); Phys. Rev. C62, 054311(2000)C. Viazminsky and J.P. Vary, J. Math. Phys. 42, 2055 (2001);K. Suzuki and S.Y. Lee, Progr. Theor. Phys. 64, 2091(1980);
K. Suzuki, ibid, 68, 246(1982); K. Suzuki and R. Okamoto, ibid, 70, 439(1983)
Preserves the symmetries of the full Hamiltonian:Rotational, translational, parity, etc., invariance
Effective Hamiltonian for A-ParticlesLee-Suzuki-Okamoto Method plus Cluster Decomposition
Select a finite oscillator basis space (P-space) and evaluate an - body cluster effective Hamiltonian:
Guaranteed to provide exact answers as or as .
€
a
€
a → A
€
P → 1
NMIN=0
NMAX=6configuration
“6h” configuration for 6Li
€
H ( )a =(Pa +ωTω)−1/ 2(Pa + PaωTQa )Ha
Ω(QaωPa + Pa )(Pa + ωTω)−1/ 2
HaΩ k =Ek k
αQ ω αP = αQ kk∈K∑ ˆ k αP
where: ˆ k αP =Inverse{k αP }
Pa = αPP∈P∑ αP
Qa = αQQ∈Q∑ αQ
Pa +Qa ≈1a
Key equations to solve at the a-body cluster level
Solve a cluster eigenvalue problem in a very large but finite basisand retain all the symmetries of the bare Hamiltonian
Working towards precision tests of fundamental symmetries
Often the limit to our precision originates in lack ofpredictive power in the nuclear matrix element (NME).
Need for ab-initio approach to the NME where initialand final state wavefunctions are calculated from the underlyingNN and NNN interactions.
See details: Navratil and Ormand, PRL
Dean, Piecuch, et al, to be published
Now turn our attention to heavier systems - strong case hasbeen made to develop microscopic predictive power for nuclear double beta-decay (Vogel). 48-Ca is the lightest candidate.
New approach to the sequence of model spaces:Solve for both parities with the same Heff.
Thus we work with the sequence Nmax =1-3-5-etc model spaces and, in each case, solve for both positive and negative parity spectra.
Constituent Quark Models of Exotic MesonsR. Lloyd, PhD Thesis, ISU 2003Phys. Rev. D 70: 014009 (2004)
H = T + V(OGE) + V(confinement)
Symmetries:Full treatment of color degree of freedomTranslational invariance preserved
Next generation:More realistic H fit to wider range of mesons and baryons
Beyond that generation:Heff derived from QCD
max
All-charm tetraquarks with bare phenomenological interaction
Nmax/2
Mas
s(M
eV)
Ken Wilson’s message:
“Adopt the sophisticated computational tools from ab-initio quantum many body theory to solve non-perturbative quantum field theory”
Ab-initio no-core nuclear theory:
Recent advances provide powerful new tools
However:
Ab initio quantum chemistry exploits a mean field
QCD applications in the -link approximation for mesons
€
qq + qq
D. Chakrabarti, A. Harindranath and J.P. Vary, Phys. Rev. D69, 034502 (2004); hep-ph/0309317
DLCQ for longitudinal modes and a transverse momentum lattice
Conclusions
• Similarity of “two-scale” problems in many-particle quantum systems
• Ab-initio theory is convergent exact method for solving many-particle Hamiltonians
• Method has been demonstrated as exact in the nuclear physics applications
• Realistic VNN (CD-Bonn) underbinds 12C 1.2 MeV/A and 16O by 0.6 MeV/A
• Confirm need for NNN forces to achieve high quality description of light nuclei when
local NN interactions used
• Some advantages seen with “soft” NN interactions (V-lowk, JISP6, INOY-3)
where ab-initio NCSM is now used to help resolve off-shell freedom
• First applications to heavier systems (A = 47 - 49) - new Hamiltonian
• Critical properties of quantum field theory emerging
• Advent of low-cost parallel computing has made new physics domains accessible:
we have achieved a fully scalable and load-balanced algorithm.
Outlook
With four examples - our new ability to determine:
Three nucleon forces
vud for CKM mass matrix unitarity
Majorana mass of neutrino through double decay
Critical properties of quantum field theory
We Have a New Physics Discovery Engine
Future Plans
Effective Transition Operators (M1, E1, E2,etc, Form Factors)