6 Li in ab initio approaches Youngman Kim Rare Isotope Science Project (RISP) Institute for Basic Science (IBS ) In collaboration with: Ik Jae Shin, RISP, IBS James Vary, Pieter Maris, Iowa State University Christian Forssen, Jimmy Rotureau, Chalmers University PKU-CUSTIPEN workshop (Aug.1-6,

Outline RISP in Korea Ab initio NCFC & GSM in very brief Results (including preliminaries) Summary

ISBB plan Preliminary Design Study Conceptual Design Study st International Advisory Committee (IAC) Baseline Design Summary Technical Design Report rd IAC 1 st Program Advisory Committee (PAC) Civil Engineering & Construction Project for RISP launched 2 nd IAC History for RISP Rare Isotope Science Project (RISP) launched st RISP Workshop on Accelerator Systems (RWAS) 1 st Technical Advisory Committee (TAC) KoPAS (Particle Accelerator School) 2 nd RWAS 2 nd TAC st PAC 1 st Radiation Safety Review

RAON Site 5 Current RISP Office ~11 km Area (Lot/Bldg): 952,066 m 2 / 130,257 m 2

7 RAON Concept 80m 128.5m 70m Low Energy Experiments Nuclear Astrophysics Driver LINAC LEBT ECR-IS (10keV/u, 12 pμA) RFQ (300keV/u, 9.5 pμA) MEBT SCL1 (18.5 MeV/u, 9.5 pμA) 100m 20m Chg. Stripper SCL2 (200 MeV/u, 8.3 pμA for U +79 ) (600MeV, 660 μA for p) Post Accelerator CB : Charge Breeder HRMS : High Resolution Mass Separator 100m 250m 20m SCL3 375m MEBT 100m ECR-IS Cyclotron (p, 70 MeV, 1mA) High-precision Mass Measurement Gas Catcher High Energy Experiments Nuclear Structure/ Symmetry Energy 110m RF Cooler RFQ CB HRMS ISOL Target IF Target IF Separator  High intensity RI beams by ISOL & IF ISOL : direct fission of 238 U by 70MeV proton IF by 200MeV/u, 8.3pμA 238 U  High quality neutron-rich RI beams 132 Sn with up to ~250MeV/u, up to ~10 8 pps  More exotic RI beams by ISOL+IF μSR, Bio-medical

KOBRA (KO rea B road acceptance R ecoil spectrometer and A pparatus ) - Design of associate equipment [Gas-jet target] [PPAC][Gamma array] Main Research Subject : 1) Nuclear structure of exotic nuclei near the drip lines 2) Astrophysically important nuclear reactions 3) Rare event study - Super Heavy Element (SHE), New isotopes 4) Nuclear physics with polarized beam/target etc Main facility for nuclear structure and nuclear astrophysics studies with low-energy stable and rare isotope beams * Design Concept 1) Two stage - Stage 1 (F0~F3) : Production and separation of RIBs via In-Flight method with high intensity SIBs from SCL - Stage 2 (F3~F5) : Big-bite spectrometer with Wien filter  large acceptance - Ion optics calculation was done using K-trace code (ray tracing) - Rotation of ‘stage 2’, variable position of Q-magnets in ‘stage 2’ are under consideration - Technical design is in progress FPEquipments F0RI production target, F3 gas-jet target, gamma-array, detection system,  -NMR F5Focal plane detection system * Associate equipments F0 F1 F2 F3 F4 F5 In-flight separation or Beam transport Big-bite Spectrometer Stage 1 Stage 2 - Main Specification Maximum magnetic rigidity (Tm)~3 Mass resolution stage 1~700 Dispersion stage 14.2 Momentum acceptance stage 1±4 Angular acceptance stage 240 (H) and 200 (V) Wien filter - RIBs production via low-E in-flight method by multi nucleon trasfer reaction (ex. 44 Ti)

LAMPS (Large Acceptance Multi-Purpose Spectrometer) Asy-stiff Asy-soft Main facility for nuclear matter and nuclear reaction studies with intermediate energy stable and rare isotope beams Main Research Subject: Study of nuclear symmetry energy at supra-saturation density via heavy-ion collision experiment Beam Energy: up to 250 MeV/u Solenoid Spectrometer - Max. 1T solenoid magnet - TPC (~ 3  sr acceptance, charged particle tracking) - Scintillation counter (trigger & ToF) - Si-CsI (measure heavy fragment using  E-E method) Dipole Spectrometer - Rotatable dipole magnet and focal plane detector (capable to study nuclear reaction) Neutron Wall (neutron tracking) L.W. Chen et al., PRL 94, (2005)

10 RISP Milestone Schedule ECR SI Beam RFQ Beam SCL Demo Beam SCL SI Beam IF RI Beam ISOL SI Beam CyclotronISOL RI Beam DAY-1 Experiment Begin Construction Start Utility Supply Completion

Ab initio No Core Shell Model Ab initio: nuclei from first principles using fundamental interactions without uncontrolled approximations. No core: all nucleons are active, no inert core. Shell model: harmonic oscillator basis Point nucleons

Ab initio No Core Gamow Shell Model

Ab initio method and NN interaction Unfortunately, the NN interaction at low energies needed for nuclear physics applications cannot be directly derived from QCD at the moment Ab initio theory requires, of course, a realistic NN interaction accurately describing NN scattering data and deuteron properties We use NNLO OPT and JISP16 in this study

Ab initio No Core Full Configuration Approach (1) the use of interactions defined for an infinite Hilbert space, (2) extrapolating to the continuum limit (infinite matrix limit) (3) uncertainty estimation for the extrapolation. This method is a version of the ab initio no core shell model (NCSM) with a few important characteristics:

P. Maris, J. P. Vary and A. M. Shirokov, Phys. Rev. C 79, (2009), C. Forssen, J. P. Vary, E. Caurier and P. Navratil, Phys. Rev. C 77, (2008), S. A. Coon, M. I. Avetian, M. K. G. Kruse, U. van Kolck, P. Maris and J. P. Vary, Phys. Rev. C 86, (2012), R. J. Furnstahl, G. Hagen and T. Papenbrock, Phys. Rev. C 86, (2012), S. N. More, A. Ekstrm, R. J. Furnstahl, G. Hagen and T. Papenbrock, Phys. Rev. C 87, (2013), … Extrapolation methods

“Extrapolations A & B” P. Maris, J.P. Vary and A.M. Shirokov, Phys. Rev. C79, (2009) P. Maris, A.M. Shirokov and J.P. Vary, Phys. Rev. C81, (R) (2010) Extrapolating to the infinite matrix limit

Extrapolation A5

Results from Ab initio NCFC convergence pattern and quantified uncertainties for extrapolation A3 indicate that we are still far from the converged results for (b).

converge more slowly, underbound by 1.44 MeV, underbound only by 0.46 MeV

level ordering is ok with experiments 1.3 MeV 8.2 eV 24 keV The slope in HO energy (with increasing N max ) seems to reflect the experimental trends

Both are within 2% of the experimental value

convergence pattern looks similar to the point proton rms redius

no apparent convergence reasonable convergence to a small value, trend seems ok with the hindered nature of this transition

reasonable converged, about 3-5% higher than experiments

Preliminary!!! Energy of the ground state Results from Ab initio No Core GSM

Energy of a resonance state (2 +, 1) Preliminary!!!

Imaginary part of the energy of (2 +, 1) state

Summary RAON will start to talk about interesting physics in several years. 6 Li is extensively studied in ab initio NCFC. We perform initial application of ab initio GSM to gain estimates of selected observables in 6 Li with a great success.

38 Thank you for your attention !