# Presentation: 158856

## 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

- <date/time>

- 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 structure
- II.  Applications in nuclear physics and beyond
- III. Conclusions and Outlook

**21st Winter Workshop on Nuclear Dynamics**
**Breckenridge, Colorado, Feb 5-12, 2005**

## Constructing the non-perturbative theory bridge between

- “Short distance physics”                     “Long distance physics”

- Asymptotically free current quarks		Constituent quarks
- Chiral symmetry                                             Broken Chiral symmetry
- High momentum transfer processes		Meson and Baryon Spectroscopy
- 					NN interactions

- H(bare operators)                           Heff
- Bare transition operators                Effective charges, GT quenching, etc.

- Bare NN, NNN interactions              Effective NN, NNN interactions
- fitting 2-body data                             describing low energy nuclear data
- Short 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 provide
- precision tests of the Hamiltonians themselves
- Argonne-LANL-Urbana (GFMC) pioneered this path

**Hamiltonian fitting**
**NN 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

## Ab Initio No-Core Shell Model

**H****eff**** of  finite subspace**

**Ab Initio No-Core Shell Model**

## Effective Hamiltonian for A-Particles

**P. Navratil, J.P. Vary and B.R. Barrett, **
**Phys. Rev. Lett. **_**84**_**, 5728(2000); Phys. Rev. C**_**62**_**, 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-Particles**
**Lee-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           .

## NMIN=0

- NMIN=0

- NMAX=6
- configuration

**“****6h********” configuration for ****6****Li**

## Key equations to solve at the a-body cluster level

**Key equations to solve at the a-body cluster level**

- Solve a cluster eigenvalue problem in a very large but finite basis
- and retain all the symmetries of the bare Hamiltonian

## Slide 8

## Working towards precision tests of fundamental symmetries

- In perturbation theory:

- Often the limit to our precision originates in lack of
- predictive power in the nuclear matrix element (NME).
- Need for ab-initio approach to the NME where initial
- and final state wavefunctions are calculated from the underlying
- NN and NNN interactions.

## See details: Navratil and Ormand, PRL

## Slide 11

## Slide 12

## Slide 13

## Dean, Piecuch, et al, to be published

## Slide 15

## Now turn our attention to heavier systems - strong case has

- been 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.

## Slide 17

## Constituent Quark Models of Exotic Mesons

- R. Lloyd, PhD Thesis, ISU 2003
- Phys. Rev. D 70: 014009 (2004)
- H = T + V(OGE) + V(confinement)
**Symmetries:**
- Full treatment of color degree of freedom
- Translational invariance preserved
**Next generation:**
- More realistic H fit to wider range of mesons and baryons
**Beyond that generation:**
- Heff derived from QCD

## All-charm tetraquarks with bare phenomenological interaction

- max

## Nmax/2

**N****max****/2**

**Mass(MeV)**

## 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

- 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 V****NN**** (CD-Bonn) underbinds ****12****C 1.2 MeV/A and ****16****O 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**
** ****v****ud**** 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)
-  Scattering Applications
-  Accelerating Convergence of Observables