Skip to main content
Log in

Global-vector representation of the angular motion of few-particle systems II

  • Published:
Few-Body Systems Aims and scope Submit manuscript

Abstract

The angular motion of a few-body system is described with global vectors which depend on the positions of the particles. The previous study using a single global vector is extended to make it possible to describe both natural and unnatural parity states. Numerical examples include three- and four-nucleon systems interacting via nucleon-nucleon potentials of AV8 type and a 3α system with a nonlocal αα potential. The results using the explicitly correlated Gaussian basis with the global vectors are shown to be in good agreement with those of other methods. A unique role of the unnatural parity component, caused by the tensor force, is clarified in the 0 1 state of 4He. The two-particle correlation function is calculated in the coordinate and momentum spaces to show different characteristics of the interactions employed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • M Viviani LE Marcucci S Rosati A Kievsky L Girlanda (2006) Few Body Syst 39 159 Occurrence Handle10.1007/s00601-006-0158-y Occurrence Handle2006FBS....39..159V

    Article  ADS  Google Scholar 

  • M Viviani A Kievsky S Rosati (2005) Phys Rev C 71 024006 Occurrence Handle10.1103/PhysRevC.71.024006 Occurrence Handle2005PhRvC..71b4006V

    Article  ADS  Google Scholar 

  • W Glöckle H Witała D Hüber H Kamada J Golak (1996) Phys Rep 274 107 Occurrence Handle10.1016/0370-1573(95)00085-2 Occurrence Handle1996PhR...274..107G

    Article  ADS  Google Scholar 

  • E Hiyama Y Kino M Kamimura (2003) Prog Part Nucl Phys 51 223 Occurrence Handle10.1016/S0146-6410(03)90015-9 Occurrence Handle2003PrPNP..51..223H

    Article  ADS  Google Scholar 

  • K Varga Y Ohbayasi Y Suzuki (1997) Phys Lett B 396 1 Occurrence Handle10.1016/S0370-2693(97)00085-3 Occurrence Handle1997PhLB..396....1V

    Article  ADS  Google Scholar 

  • K Varga P Navrátil J Usukura Y Suzuki (2001) Phys Rev B 63 205308 Occurrence Handle10.1103/PhysRevB.63.205308 Occurrence Handle2001PhRvB..63t5308V

    Article  ADS  Google Scholar 

  • MWJ Bromley J Mitroy K Varga (2007) Phys Rev A 75 062505 Occurrence Handle10.1103/PhysRevA.75.062505 Occurrence Handle2007PhRvA..75f2505B

    Article  ADS  Google Scholar 

  • K Varga Y Suzuki (1995) Phys Rev C 52 2885 Occurrence Handle10.1103/PhysRevC.52.2885 Occurrence Handle1995PhRvC..52.2885V

    Article  ADS  Google Scholar 

  • Y Suzuki K Varga (1998) Stochastic variational approach to quantum-mechanical few-body problems (Lecture notes in physics, Vol. 54) Springer Berlin Heidelberg New York

    Google Scholar 

  • Y Suzuki J Usukura K Varga (1998) J Phys B 31 31 Occurrence Handle10.1088/0953-4075/31/1/007 Occurrence Handle1998JPhB...31...31S

    Article  ADS  Google Scholar 

  • K Varga Y Suzuki J Usukura (1998) Few Body Syst 24 81 Occurrence Handle10.1007/s006010050077 Occurrence Handle1998FBS....24...81V

    Article  ADS  Google Scholar 

  • K Varga J Usukura Y Suzuki (1998) Phys Rev Lett 80 1876 Occurrence Handle10.1103/PhysRevLett.80.1876 Occurrence Handle1998PhRvL..80.1876V

    Article  ADS  Google Scholar 

  • J Usukura K Varga Y Suzuki (1998) Phys Rev A 58 1918 Occurrence Handle10.1103/PhysRevA.58.1918 Occurrence Handle1998PhRvA..58.1918U

    Article  ADS  Google Scholar 

  • H Nemura Y Akaishi Y Suzuki (2002) Phys Rev Lett 89 142504 Occurrence Handle10.1103/PhysRevLett.89.142504 Occurrence Handle2002PhRvL..89n2504N

    Article  ADS  Google Scholar 

  • H Kamada et al. (2001) Phys Rev C 64 044001 Occurrence Handle10.1103/PhysRevC.64.044001 Occurrence Handle2001PhRvC..64d4001K

    Article  ADS  Google Scholar 

  • Y Fujiwara Y Suzuki C Nakamoto (2007) Prog Part Nucl Phys 58 439 Occurrence Handle10.1016/j.ppnp.2006.08.001 Occurrence Handle2007PrPNP..58..439F

    Article  ADS  Google Scholar 

  • DR Entem R Machleidt (2003) Phys Rev C 68 041001 Occurrence Handle10.1103/PhysRevC.68.041001 Occurrence Handle2003PhRvC..68d1001E

    Article  ADS  Google Scholar 

  • SK Bogner TTS Kuo A Schwenk (2003) Phys Rep 386 1 Occurrence Handle10.1016/j.physrep.2003.07.001 Occurrence Handle2003PhR...386....1B

    Article  ADS  Google Scholar 

  • VI Kukulin VN Pomerantsev (1978) Ann Phys (NY) 111 30 Occurrence Handle10.1016/0003-4916(78)90069-6 Occurrence Handle495950

    Article  MathSciNet  Google Scholar 

  • Y Suzuki J Usukura (2000) Nucl Inst Meth B 171 67 Occurrence Handle10.1016/S0168-583X(00)00055-0 Occurrence Handle2000NIMPB.171...67S

    Article  ADS  Google Scholar 

  • K Wildermuth YC Tang (1977) A unified theory of the nucleus Vieweg Braunschweig

    Google Scholar 

  • Y Suzuki M Takahashi (2002) Phys Rev C 65 064318 Occurrence Handle10.1103/PhysRevC.65.064318 Occurrence Handle2002PhRvC..65f4318S

    Article  ADS  Google Scholar 

  • DR Thompson M LeMere YC Tang (1977) Nucl Phys A 286 53 Occurrence Handle10.1016/0375-9474(77)90007-0 Occurrence Handle1977NuPhA.286...53T

    Article  ADS  Google Scholar 

  • BS Pudliner VR Pandharipande J Carlson SC Pieper RB Wiringa (1997) Phys Rev C 56 1720 Occurrence Handle10.1103/PhysRevC.56.1720 Occurrence Handle1997PhRvC..56.1720P

    Article  ADS  Google Scholar 

  • R Tamagaki (1968) Prog Theor Phys 39 91 Occurrence Handle10.1143/PTP.39.91 Occurrence Handle1968PThPh..39...91T

    Article  ADS  Google Scholar 

  • W Horiuchi Y Suzuki (2007) Phys Rev C 76 024311 Occurrence Handle10.1103/PhysRevC.76.024311 Occurrence Handle2007PhRvC..76b4311H

    Article  ADS  Google Scholar 

  • Y Suzuki RG Lovas K Yabana K Varga (2003) Structure and reactions of light exotic nuclei Taylor & Francis London

    Google Scholar 

  • M Sakai Y Akaishi H Tanaka (1974) Prog Theor Phys Suppl 56 108 Occurrence Handle10.1143/PTPS.56.108 Occurrence Handle1974PThPS..56..108S

    Article  ADS  Google Scholar 

  • BR Barrett (1967) Phys Rev 154 955 Occurrence Handle10.1103/PhysRev.154.955 Occurrence Handle1967PhRv..154..955B

    Article  ADS  Google Scholar 

  • R Schiavilla RB Wiringa SC Pieper J Carlson (2007) Phys Rev Lett 98 132501 Occurrence Handle10.1103/PhysRevLett.98.132501 Occurrence Handle2007PhRvL..98m2501S

    Article  ADS  Google Scholar 

  • Horiuchi W, Suzuki Y (2008) [nucl-th/0804.0968]

  • Y Fujiwara H Nemura Y Suzuki K Miyagawa M Kohno (2002) Prog Theor Phys 107 745 Occurrence Handle10.1143/PTP.107.745 Occurrence Handle2002PThPh.107..745F Occurrence Handle1004.81581

    Article  ADS  MATH  Google Scholar 

  • Y Fujiwara Y Suzuki K Miyagawa M Kohno H Nemura (2002) Prog Theor Phys 107 993 Occurrence Handle10.1143/PTP.107.993 Occurrence Handle2002PThPh.107..993F

    Article  ADS  Google Scholar 

  • Y Fujiwara K Miyagawa M Kohno Y Suzuki D Baye J-M Sparenberg (2004) Phys Rev C 70 024002 Occurrence Handle10.1103/PhysRevC.70.024002 Occurrence Handle2004PhRvC..70b4002F

    Article  ADS  Google Scholar 

  • M Theeten D Baye P Descouvemont (2006) Phys Rev C 74 044304 Occurrence Handle10.1103/PhysRevC.74.044304 Occurrence Handle2006PhRvC..74d4304T

    Article  ADS  Google Scholar 

  • Y Suzuki H Matsumura M Orabi Y Fujiwara P Descouvemont M Theeten D Baye (2008) Phys Lett B 659 160 Occurrence Handle10.1016/j.physletb.2007.10.033 Occurrence Handle2008PhLB..659..160S

    Article  ADS  Google Scholar 

  • M Theeten H Matsumura M Orabi D Baye P Descouvemont Y Fujiwara Y Suzuki (2007) Phys Rev C 76 054003 Occurrence Handle10.1103/PhysRevC.76.054003 Occurrence Handle2007PhRvC..76e4003T

    Article  ADS  Google Scholar 

  • H Matsumura M Orabi Y Suzuki Y Fujiwara (2006) Nucl Phys A 776 1 Occurrence Handle10.1016/j.nuclphysa.2006.07.002 Occurrence Handle2006NuPhA.776....1M

    Article  ADS  Google Scholar 

  • Theeten M (private communication)

  • B Buck H Friedrich C Wheatley (1977) Nucl Phys A 275 246 Occurrence Handle10.1016/0375-9474(77)90287-1 Occurrence Handle1977NuPhA.275..246B

    Article  ADS  Google Scholar 

  • B Silvestre-Brac V Mathieu (2007) Phys Rev E 76 046702 Occurrence Handle10.1103/PhysRevE.76.046702 Occurrence Handle2007PhRvE..76d6702S

    Article  ADS  Google Scholar 

  • H Nemura Y Suzuki Y Fujiwara C Nakamoto (2000) Prog Theor Phys 103 929 Occurrence Handle10.1143/PTP.103.929 Occurrence Handle2000PThPh.103..929N

    Article  ADS  Google Scholar 

  • Y Suzuki M Takahashi RG Lovas K Varga (2002) Nucl Phys A 706 123 Occurrence Handle10.1016/S0375-9474(02)00864-3 Occurrence Handle2002NuPhA.706..123S Occurrence Handle0995.81538

    Article  ADS  MATH  Google Scholar 

  • WH Press SA Teukolsky WT Vetterling BP Flanney (1992) Numerical recipes in FORTRAN EditionNumber2 Cambridge University Press New York Occurrence Handle0778.65002

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Y. Suzuki.

Additional information

Supported by the JSPS Research Fellowships for Young Scientists

Correspondence: Y. Suzuki, Department of Physics, and Graduate School of Science and Technology, Niigata University, Niigata 950-2181, Japan

Rights and permissions

Reprints and permissions

About this article

Cite this article

Suzuki, Y., Horiuchi, W., Orabi, M. et al. Global-vector representation of the angular motion of few-particle systems II. Few-Body Syst 42, 33–72 (2008). https://doi.org/10.1007/s00601-008-0200-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00601-008-0200-3

Keywords

Navigation