Impact factor of Chinese Physics C is 3.6 in 2023 Impact factor of Chinese Physics C is 3.6 in 2022 2021 Impact Factor 2.944
Advanced Search
Chinese Physics C > 2022, Vol. 46 > Issue(4): 044105 DOI: 10.1088/1674-1137/ac42be

Proton-neutron symplectic model description of20Ne

  • Joint Institute for Nuclear Research, Dubna, Russia

  • A microscopic description of the low-lying positive-parity rotational bands in 20Ne is given within the framework of the symplectic-based proton-neutron shell-model approach provided by the proton-neutron symplectic model (PNSM). For this purpose, a model Hamiltonian is adopted. This includes an algebraic interaction lying in the enveloping algebra of the $ Sp(12,R) $ dynamical group of the PNSM, which introduces both horizontal and vertical mixings of different $ SU(3) $ irreducible representations within the $ Sp(12,R) $ irreducible collective space of 20Ne. A good overall description is obtained for the excitation energies of the ground and first two excited βbands, including the ground state intraband $ B(E2) $ quadrupole collectivity and the known interband $ B(E2) $ transition probabilities between the low-lying collective states, without utilizing an effective charge.
      PCAS:
  • 加载中

  • References

    [1] J. P. Elliott, Proc. R. Soc.A 245, 128 (1958);245, 562 (1958).
    [2] M. Harvey, inAdvances in Nuclear Physics, Vol. 1 (M. Baranger and E. Vogt, eds.), (Plenum Press, New York, 1968).
    [3] Y. Akiyama, A. Arima, and T. Sebe, Nucl. Phys.A 138, 273 (1969).
    [4] G. Rosensteel and D. Rowe, Nucl. Phys.A 797, 94 (2007).
    [5] National Nuclear Data Center (NNDC),http://www.nndc.bnl.gov/
    [6] H. Ui, Prog. Theor. Phys.44, 153 (1970).
    [7] G. Rosensteel and D. J. Rowe, Phys. Rev. Lett.38, 10 (1977)
    [8] G. Rosensteel and D. J. Rowe, Ann. Phys.126, 343 (1980).
    [9] D. J. Rowe, Rep. Prog. Phys.48, 1419 (1985).
    [10] J. P. Draayer, R. J. Weeks, and G. Rosensteel, Nucl. Phys.A 413, 215 (1984).
    [11] D.J. Rowe and G. Rosensteel, Phys. Rev.C 25, 3236 (1982).
    [12] O. Castanos and J. P. Draayer, Nucl. Phys.A 491, 349 (1989).
    [13] J. Escher and A. Leviatan, Phys. Rev.C 65, 054309 (2002).
    [14] T. Dytrych et al., Phys. Rev. Lett.124, 042501 (2020).
    [15] H. G. Ganev, Eur. Phys. J.A 50, 183 (2014).
    [16] H. G. Ganev, J. Phys.: Conf. Ser.1023, 012013 (2018).
    [17] H. G. Ganev, Bulg. J. Phys.46, 434 (2019).
    [18] H. G. Ganev, Phys. Rev.C 98, 034314 (2018).
    [19] H. G. Ganev, Nucl. Phys.A 987, 112 (2019).
    [20] H. G. Ganev, Phys. Rev.C 99, 054305 (2019).
    [21] H. G. Ganev, Phys. Rev.C 99, 054304 (2019).
    [22] H. G. Ganev, Eur. Phys. J.A 57, 181 (2021).
    [23] A. Bohr and B. R. Mottelson,Nuclear Structure(W.A. Benjamin Inc., New York, 1975), Vol. Ⅱ.
    [24] H. G. Ganev, Chin. Phys.C 45, 114101 (2021).
    [25] H. G. Ganev, Bulg. J. Phys.48, 421 (2021), arXiv:2111.01659
    [26] H. G. Ganev, Eur. Phys. J.A 51, 84 (2015).
    [27] M. Moshinsky and C. Quesne, J. Math. Phys.11, 1631 (1970).
    [28] O. Castanos, J. P. Draayer, and Y. Leschber, Z. Phys.A 329, 33 (1988).
    [29] J. Carvalho and D. J. Rowe, Nucl. Phys.A 548, 1 (1992).
    [30] R. D. Ratna Raju, J. P. Draayer, and K. T. Hecht, Nucl. Phys.A 202, 433 (1973).
    [31] A. J. Dragt, J. Math. Phys.6, 533 (1965).
    [32] E. Chacon, O. Castanos, and A. Frank, J. Math. Phys.25, 1442 (1984).
    [33] J. Cseh, G. Levai, and W. Schneid, Phys. Rev.C 48, 1724 (1993).
    [34] G. Levai, Phys. Rev.C 88, 014328 (2013).

  • Access

    加载中

Figures(5)/Tables(2)

Get Citation
H. G. Ganev. Proton-neutron symplectic model description of 20Ne[J]. Chinese Physics C. doi: 10.1088/1674-1137/ac42be
H. G. Ganev. Proton-neutron symplectic model description of 20Ne[J]. Chinese Physics C. doi:10.1088/1674-1137/ac42be shu
Milestone
Received: 2021-11-05
Article Metric

Article Views(3066)
PDF Downloads(43)
Cited by(0)
Policy on re-use
To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.
    通讯作者:陈斌, bchen63@163.com
    • 1.

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Email This Article

    Title:
    Email:

    Proton-neutron symplectic model description of20Ne

    • Joint Institute for Nuclear Research, Dubna, Russia
    • Received Date:2021-11-05
    • Available Online:2022-04-15

      Abstract:A microscopic description of the low-lying positive-parity rotational bands in20Ne is given within the framework of the symplectic-based proton-neutron shell-model approach provided by the proton-neutron symplectic model (PNSM). For this purpose, a model Hamiltonian is adopted. This includes an algebraic interaction lying in the enveloping algebra of the $ Sp(12,R) $ dynamical group of the PNSM, which introduces both horizontal and vertical mixings of different $ SU(3) $ irreducible representations within the $ Sp(12,R) $ irreducible collective space of20Ne. A good overall description is obtained for the excitation energies of the ground and first two excitedβbands, including the ground state intraband $ B(E2) $ quadrupole collectivity and the known interband $ B(E2) $ transition probabilities between the low-lying collective states, without utilizing an effective charge.

        HTML

        I. INTRODUCTION

        • The microscopic description of the properties of atomic nuclei is a longstanding challenge in nuclear structure physics. A general microscopic framework for the study of nuclear collective motion is provided by the nuclear shell model, which includes all many-particle fermion degrees of freedom. Unfortunately, the dimension of the model space grows rapidly with the increase in the number of the nucleons or/and the available single particle states included in the model calculation, even when the valence shell is solely considered. Accordingly, several submodels of the shell model have been constructed to reduce the number of states as well as the computational difficulty. In particular, the algebraic models formulated in terms of spectrum generating algebras and dynamical groups, are remarkable. These shell-model submodels describe more of the physical structure of states in terms of well-defined quantum numbers.

          The corner-stone of the spherical harmonic oscillator shell model is provided by the $ SU(3) $ algebraic structure of the three-dimensional harmonic oscillator, first proposed in nuclear physics by Elliott [1] in 1958, which is present as a building block in all sophisticated algebraic models proposed during the time for the description of the nuclear structure. The $ SU(3) $ classification scheme of the many-particle nuclear states allows us to answer whether these states are indeed eigenfunctions of a realistic Hamiltonian for a given real nucleus.

          Various shell-model classification schemes are most easily applied to the light nuclei, where the size of the model space is considerably smaller than in the case of intermediate and heavy mass nuclei. From the light nuclei,20Ne is a typical example of a well-deformed (prolate) nucleus from the $ ds $ shell, exhibiting rotational bands with enhanced quadrupole collectivity. Despite the well-pronounced collective character, the different microscopic shell-model calculations indicate the complicated structure of the observed rotational bands in20Ne. Hence, this nucleus serves as a good example that can be used to test the different collective models of nuclear structure.

          The first microscopic approach that demonstrated how collective properties can emer

      Baidu
      map