Long- and short-range correlations in the ab-initio no-core shell model

Ionel Stetcu, Bruce R Barrett, Petr Navrátil, James P. Vary

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

In the framework of the ab-initio no-core shell model (NCSM), we describe the longitudinal-longitudinal distribution function, part of the inclusive (e,e') longitudinal response. In the two-body cluster approximation, we compute the effective operators consistent with the unitary transformation used to obtain the effective Hamiltonian. When short-range correlations are probed, the results display independence from the model space size and length scale. Long-range correlations are more difficult to model in the NCSM and they can be des-cribed only by increasing the model space or increasing the cluster size. In order to illustrate the model space independence for short-range observables, we present results for a large set of model spaces for He4, and in 0-4 Ω model spaces for C12.

Original languageEnglish (US)
Article number037307
JournalPhysical Review C - Nuclear Physics
Volume73
Issue number3
DOIs
StatePublished - 2006

Fingerprint

distribution functions
operators
approximation

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

Long- and short-range correlations in the ab-initio no-core shell model. / Stetcu, Ionel; Barrett, Bruce R; Navrátil, Petr; Vary, James P.

In: Physical Review C - Nuclear Physics, Vol. 73, No. 3, 037307, 2006.

Research output: Contribution to journalArticle

@article{8a7f9c3787064f28ab730e73cc76e5df,
title = "Long- and short-range correlations in the ab-initio no-core shell model",
abstract = "In the framework of the ab-initio no-core shell model (NCSM), we describe the longitudinal-longitudinal distribution function, part of the inclusive (e,e') longitudinal response. In the two-body cluster approximation, we compute the effective operators consistent with the unitary transformation used to obtain the effective Hamiltonian. When short-range correlations are probed, the results display independence from the model space size and length scale. Long-range correlations are more difficult to model in the NCSM and they can be des-cribed only by increasing the model space or increasing the cluster size. In order to illustrate the model space independence for short-range observables, we present results for a large set of model spaces for He4, and in 0-4 Ω model spaces for C12.",
author = "Ionel Stetcu and Barrett, {Bruce R} and Petr Navr{\'a}til and Vary, {James P.}",
year = "2006",
doi = "10.1103/PhysRevC.73.037307",
language = "English (US)",
volume = "73",
journal = "Physical Review C - Nuclear Physics",
issn = "0556-2813",
publisher = "American Physical Society",
number = "3",

}

TY - JOUR

T1 - Long- and short-range correlations in the ab-initio no-core shell model

AU - Stetcu, Ionel

AU - Barrett, Bruce R

AU - Navrátil, Petr

AU - Vary, James P.

PY - 2006

Y1 - 2006

N2 - In the framework of the ab-initio no-core shell model (NCSM), we describe the longitudinal-longitudinal distribution function, part of the inclusive (e,e') longitudinal response. In the two-body cluster approximation, we compute the effective operators consistent with the unitary transformation used to obtain the effective Hamiltonian. When short-range correlations are probed, the results display independence from the model space size and length scale. Long-range correlations are more difficult to model in the NCSM and they can be des-cribed only by increasing the model space or increasing the cluster size. In order to illustrate the model space independence for short-range observables, we present results for a large set of model spaces for He4, and in 0-4 Ω model spaces for C12.

AB - In the framework of the ab-initio no-core shell model (NCSM), we describe the longitudinal-longitudinal distribution function, part of the inclusive (e,e') longitudinal response. In the two-body cluster approximation, we compute the effective operators consistent with the unitary transformation used to obtain the effective Hamiltonian. When short-range correlations are probed, the results display independence from the model space size and length scale. Long-range correlations are more difficult to model in the NCSM and they can be des-cribed only by increasing the model space or increasing the cluster size. In order to illustrate the model space independence for short-range observables, we present results for a large set of model spaces for He4, and in 0-4 Ω model spaces for C12.

UR - http://www.scopus.com/inward/record.url?scp=33645077334&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33645077334&partnerID=8YFLogxK

U2 - 10.1103/PhysRevC.73.037307

DO - 10.1103/PhysRevC.73.037307

M3 - Article

AN - SCOPUS:33645077334

VL - 73

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 3

M1 - 037307

ER -