Loosely bound three-body nuclear systems in the J-matrix approach

Lurie, Yu.; Shirokov, A. M.

doi:10.1016/j.aop.2004.02.002

Cited by 30 publications

(15 citation statements)

References 59 publications

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“…PETs originating from unitary transformations of the oscillator basis proposed in [25,26], give rise to ambigui- After that we employ PETs in other NN partial waves attempting to improve the description of binding energies and spectra of light nuclei in NCSM calculations. Following this ab exitu route, the JISP6 NN interaction fitted to properties of nuclei with masses A ≤ 6, was proposed [19].…”

Section: The Original Jisp16mentioning

confidence: 99%

“…PETs originating from unitary transformations of the oscillator basis proposed in [25,26], give rise to ambigui-EPJ Web of Conferences , 05015 (2010) …”

Section: The Original Jisp16mentioning

confidence: 99%

“…; in the case of coupled waves, the rank of the potential matrix is a sum of of the respective ranks, e.g., the rank of the coupled sd wave matrix is r = 5 + 4 = 9. The N max = 9 truncated JISP interaction with Ω = 40 MeV provides an excellent description of NN scattering data with χ 2 /datum = 1.03 for the 1992 np data base (2514 data), and 1.05 for the 1999 np data base (3058 data) [24].PETs originating from unitary transformations of the oscillator basis proposed in [25,26], give rise to ambigui-EPJ Web of Conferences , 05015 (2010) …”

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confidence: 99%

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NN Interaction JISP16: Current Status and Prospect

Shirokov

Куликов

Maris

et al. 2010

EPJ Web of Conferences

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Abstract. We discuss realistic nonlocal NN interactions of a new type -J-matrix Inverse Scattering Potential (JISP). In an ab exitu approach, these interactions are fitted to not only two-nucleon data (NN scattering data and deuteron properties) but also to the properties of light nuclei without referring to three-nucleon forces. We discuss recent progress with the ab initio No-core Shell Model (NCSM) approach and respective progress in developing ab exitu JISP-type NN-interactions together with plans of their forthcoming improvements.Significant progress was achieved within the last decade in ab initio studies of light nuclei. Nowadays, due to increased computing power and novel techniques, ab initio approaches like the No-core Shell Model (NCSM) [1], the Green's function Monte Carlo [2] and the coupledcluster theory [3] are able to reproduce properties of a large number of atomic nuclei with mass up to A = 16 and can be extended for heavier nuclei.The ab initio methods require a reliable realistic strong interaction providing an accurate description of NN scattering data and high-quality predictions for binding energies, spectra and other observables in light nuclei. A number of meson-exchange potentials sometimes supplemented with phenomenological terms to achieve high accuracy in fitting NN data (CD-Bonn [4], Nijmegen [5], Argonne [6]) have been developed that should be used together with modern NNN forces (Urbana [7,8], Illinois [9], TucsonMelbourne [10,11]) to reproduce properties of many-body nuclear systems. On the other hand, one sees the emergence of NN and NNN interactions with ties to QCD [12][13][14][15].Three-nucleon forces require a significant increase of computational resources needed to diagonalize a manybody Hamiltonian matrix since the NNN interaction increases the number of non-zero matrix elements approximately by a factor of 30 in the case of p-shell nuclei. As a result, one needs to restrict the basis space in many-body calculations when NNN forces are involved that makes the predictions less reliable. Ab initio many-body studies benefit from the use of recently developed purely two-nucleon interactions of INOY (Inside Nonlocal Outside Yukawa) [16,17] and JISP (J-matrix Inverse Scattering Potential) [18-21] types fitted not only to the NN data but also to binding energies of A = 3 and heavier nuclei. At the fundamental level, these NN interactions are supported by the work of Polyzou and Glöckle who demonstrated [22] that a realistic NN interaction is equivalent at the A = 3 level a e-mail: shirokov@nucl-th.sinp.msu.ru to some NN + NNN interaction where the new NN force is related to the initial one through a phase-equivalent transformation (PET). It seems reasonable then to exploit this freedom and work to minimize the need for the explicit introduction of three and higher body forces. Endeavors along these lines have resulted in the design of INOY and JISP strong interaction models.We discuss here the progress in development of the JISP NN interactions and related progress in NCSM studi...

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Section: The Original Jisp16mentioning

confidence: 99%

“…PETs originating from unitary transformations of the oscillator basis proposed in [25,26], give rise to ambigui-EPJ Web of Conferences , 05015 (2010) …”

Section: The Original Jisp16mentioning

confidence: 99%

mentioning

confidence: 99%

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NN Interaction JISP16: Current Status and Prospect

Shirokov

Куликов

Maris

et al. 2010

EPJ Web of Conferences

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“…Experiments performed on other two-neutron halo nuclei 6 He [16,17] and 14 Be [18] also involved large uncertainties. As theoretical work on 11 Li has demonstrated [19][20][21][22][23][24][25][26][27][28][29][30], a precise determination of the soft E1 excitation spectrum would place significant constraints on the reaction mechanism, two-neutron correlation, core-n correlation, and the shell melting in the 11 Li ground state.The present Letter reports the results of a new and significantly improved measurement of the low-lying BE1 distribution of 11 Li, thereby resolving the ambiguous experimental situation. With much higher statistics and careful treatment of two-neutron events, we have significantly enhanced the experimental sensitivity at low relative energies: down to E rel 0 MeV in the three-body breakup channel.…”

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confidence: 99%

Observation of Strong Low-LyingE1Strength in the Two-Neutron Halo NucleusLi11

et al. 2006

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An exclusive measurement has been made of the Coulomb dissociation of the two-neutron halo nucleus 11Li at 70 MeV/nucleon at RIKEN. Strong low-energy (soft) E1 excitation is observed, peaked at about Ex = 0.6 MeV with B(E1) = 1.42(18) e2fm2 for Erel < or = 3 MeV, which was largely missed in previous measurements. This excitation represents the strongest E1 transition ever observed at such low excitation energies. The spectrum is reproduced well by a three-body model with a strong two-neutron correlation, which is further supported by the E1 non-energy-weighted cluster sum rule.

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“…PETs originating from unitary transformations of the oscillator basis proposed in Refs. [32,33], give rise to ambiguity of the interaction obtained in the J-matrix inverse scattering approach. This ambiguity is eliminated at the first stage by postulating the simplest tridiagonal form of the NN interaction in uncoupled and quasi-tridiagonal form in coupled NN partial waves [20].…”

Section: Jisp16 Nn Interaction and Ncfc Approachmentioning

confidence: 99%

Ab initio theory of light nuclei and NN interaction of JISP type

Shirokov¹

2014

Proceedings of the XXI International Workshop High Energy Physics and Quantum Field Theory — PoS(QFTHEP 2013)

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I discuss ab initio studies of light nuclei in large-scale No-Core Shell Model calculations on supercomputers with extrapolations to the infinite model space (No-Core Full Configuration approach). The convergence at the end of p shell and beginning of the sd shell can be achieved if only reasonable soft enough NN interactions are used. In particular, good predictions are obtained with a realistic JISP16 NN interaction obtained in J-matrix inverse scattering approach and fitted to reproduce light nuclei observables without three-nucleon forces. We discuss some recent results obtained with this NN interaction.

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Loosely bound three-body nuclear systems in the J-matrix approach

Cited by 30 publications

References 59 publications

NN Interaction JISP16: Current Status and Prospect

NN Interaction JISP16: Current Status and Prospect

Observation of Strong Low-LyingE1Strength in the Two-Neutron Halo NucleusLi11

Ab initio theory of light nuclei and NN interaction of JISP type

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