Tetraquark bound states and resonances in a unitary microscopic quark model: A case study of bound states of two light quarks and two heavy antiquarks

被引：15
作者：
Bicudo, P. [1 ]
Cardoso, M. [1 ]
机构：
[1] Univ Lisbon, Inst Super Tecn, Dept Fis, CFTP, Ave Rovisco Pais, P-1049001 Lisbon, Portugal
来源：
PHYSICAL REVIEW D | 2016年 / 94卷 / 09期
关键词：
HADRON-HADRON INTERACTION; P-3(0) CONDENSED VACUUM; QUANTUM-FIELD THEORIES; LATTICE MONTE-CARLO; LONG-RANGE FORCES; STRING-FLIP MODEL; CHARMED TETRAQUARKS; VOLUME DEPENDENCE; ENERGY-SPECTRUM; WAALS FORCES;
D O I：
10.1103/PhysRevD.94.094032
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We address qq (Q) over bar(Q) over bar exotic tetraquark bound states and resonances with a fully unitarized and microscopic quark model. We propose a triple string flip-flop potential, inspired by lattice QCD tetraquark static potentials and flux tubes, combining meson-meson and double Y potentials. Our model includes the color excited potential, but neglects the spin-tensor potentials, as well as all the other relativistic effects. To search for bound states and resonances, we first solve the two-body mesonic problem. Then we develop fully unitary techniques to address the four-body tetraquark problem. We fold the four-body Schrodinger equation with the mesonic wave functions, transforming it into a two-body meson-meson problem with nonlocal potentials. We find bound states for some quark masses, including the one reported in lattice QCD. Moreover, we also find resonances and calculate their masses and widths, by computing the T matrix and finding its pole positions in the complex energy plane, for some quantum numbers. However, a detailed analysis of the quantum numbers where binding exists shows a discrepancy with recent lattice QCD results for the ll (b) over bar(b) over bar tetraquark bound states. We conclude that the string flip-flop models need further improvement.
引用
收藏
页数：18
相关论文
共 87 条
  • [1] Observation of J/ψp Resonances Consistent with Pentaquark States in Λb0 → J/ψK-p Decays
    Aaij, R.
    Adeva, B.
    Adinolfi, M.
    Affolder, A.
    Ajaltouni, Z.
    Akar, S.
    Albrecht, J.
    Alessio, F.
    Alexander, M.
    Ali, S.
    Alkhazov, G.
    Cartelle, P. Alvarez
    Alves, A. A., Jr.
    Amato, S.
    Amerio, S.
    Amhis, Y.
    An, L.
    Anderlini, L.
    Anderson, J.
    Andreassi, G.
    Andreotti, M.
    Andrews, J. E.
    Appleby, R. B.
    Gutierrez, O. Aquines
    Archilli, F.
    d'Argent, P.
    Artamonov, A.
    Artuso, M.
    Aslanides, E.
    Auriemma, G.
    Baalouch, M.
    Bachmann, S.
    Back, J. J.
    Badalov, A.
    Baesso, C.
    Baldini, W.
    Barlow, R. J.
    Barschel, C.
    Barsuk, S.
    Barter, W.
    Batozskaya, V.
    Battista, V.
    Bay, A.
    Beaucourt, L.
    Beddow, J.
    Bedeschi, F.
    Bediaga, I.
    Bel, L. J.
    Bellee, V.
    Belloli, N.
    [J]. PHYSICAL REVIEW LETTERS, 2015, 115 (07)
  • [2] Observation of the Resonant Character of the Z(4430)- State
    Aaij, R.
    Adeva, B.
    Adinolfi, M.
    Affolder, A.
    Ajaltouni, Z.
    Albrecht, J.
    Alessio, F.
    Alexander, M.
    Ali, S.
    Alkhazov, G.
    Alvarez Cartelle, P.
    Alves, A. A., Jr.
    Amato, S.
    Amerio, S.
    Amhis, Y.
    An, L.
    Anderlini, L.
    Anderson, J.
    Andreassen, R.
    Andreotti, M.
    Andrews, J. E.
    Appleby, R. B.
    Gutierrez, O. Aquines
    Archilli, F.
    Artamonov, A.
    Artuso, M.
    Aslanides, E.
    Auriemma, G.
    Baalouch, M.
    Bachmann, S.
    Back, J. J.
    Badalov, A.
    Balagura, V.
    Baldini, W.
    Barlow, R. J.
    Barschel, C.
    Barsuk, S.
    Barter, W.
    Batozskaya, V.
    Bauer, Th.
    Bay, A.
    Beaucourt, L.
    Beddow, J.
    Bedeschi, F.
    Bediaga, I.
    Belogurov, S.
    Belous, K.
    Belyaev, I.
    Ben-Haim, E.
    Bencivenni, G.
    [J]. PHYSICAL REVIEW LETTERS, 2014, 112 (22)
  • [3] Observation of e+e- → π0π0hc and a Neutral Charmoniumlike Structure Zc(4020)0
    Ablikim, M.
    Achasov, M. N.
    Ai, X. C.
    Albayrak, O.
    Albrecht, M.
    Ambrose, D. J.
    Amoroso, A.
    An, F. F.
    An, Q.
    Bai, J. Z.
    Ferroli, R. Baldini
    Ban, Y.
    Bennett, D. W.
    Bennett, J. V.
    Bertani, M.
    Bettoni, D.
    Bian, J. M.
    Bianchi, F.
    Boger, E.
    Bondarenko, O.
    Boyko, I.
    Briere, R. A.
    Cai, H.
    Cai, X.
    Cakir, O.
    Calcaterra, A.
    Cao, G. F.
    Cetin, S. A.
    Chang, J. F.
    Chelkov, G.
    Chen, G.
    Chen, H. S.
    Chen, H. Y.
    Chen, J. C.
    Chen, M. L.
    Chen, S. J.
    Chen, X.
    Chen, X. R.
    Chen, Y. B.
    Cheng, H. P.
    Chu, X. K.
    Chu, Y. P.
    Cibinetto, G.
    Cronin-Hennessy, D.
    Dai, H. L.
    Dai, J. P.
    Dedovich, D.
    Deng, Z. Y.
    Denig, A.
    Denysenko, I.
    [J]. PHYSICAL REVIEW LETTERS, 2014, 113 (21)
  • [4] Observation of a Charged Charmoniumlike Structure in e+e- → (D* (D)over-bar*)±π∓ at √s=4.26 GeV
    Ablikim, M.
    Achasov, M. N.
    Albayrak, O.
    Ambrose, D. J.
    An, F. F.
    An, Q.
    Bai, J. Z.
    Ferroli, R. Baldini
    Ban, Y.
    Becker, J.
    Bennett, J. V.
    Bertani, M.
    Bian, J. M.
    Boger, E.
    Bondarenko, O.
    Boyko, I.
    Braun, S.
    Briere, R. A.
    Bytev, V.
    Cai, H.
    Cai, X.
    Cakir, O.
    Calcaterra, A.
    Cao, G. F.
    Cetin, S. A.
    Chang, J. F.
    Chelkov, G.
    Chen, G.
    Chen, H. S.
    Chen, J. C.
    Chen, M. L.
    Chen, S. J.
    Chen, X. R.
    Chen, Y. B.
    Cheng, H. P.
    Chu, Y. P.
    Cronin-Hennessy, D.
    Dai, H. L.
    Dai, J. P.
    Dedovich, D.
    Deng, Z. Y.
    Denig, A.
    Denysenko, I.
    Destefanis, M.
    Ding, W. M.
    Ding, Y.
    Dong, L. Y.
    Dong, M. Y.
    Du, S. X.
    Fang, J.
    [J]. PHYSICAL REVIEW LETTERS, 2014, 112 (13)
  • [5] Observation of a Charged (D(D)over-bar*)± Mass Peak in e+e- → πD(D)over-bar* at √s=4.26 GeV
    Ablikim, M.
    Achasov, M. N.
    Albayrak, O.
    Ambrose, D. J.
    An, F. F.
    An, Q.
    Bai, J. Z.
    Ferroli, R. Baldini
    Ban, Y.
    Becker, J.
    Bennett, J. V.
    Bertani, M.
    Bian, J. M.
    Boger, E.
    Bondarenko, O.
    Boyko, I.
    Braun, S.
    Briere, R. A.
    Bytev, V.
    Cai, H.
    Cai, X.
    Cakir, O.
    Calcaterra, A.
    Cao, G. F.
    Cetin, S. A.
    Chang, J. F.
    Chelkov, G.
    Chen, G.
    Chen, H. S.
    Chen, J. C.
    Chen, M. L.
    Chen, S. J.
    Chen, X. R.
    Chen, Y. B.
    Cheng, H. P.
    Chu, X. K.
    Chu, Y. P.
    Cronin-Hennessy, D.
    Dai, H. L.
    Dai, J. P.
    Dedovich, D.
    Deng, Z. Y.
    Denig, A.
    Denysenko, I.
    Destefanis, M.
    Ding, W. M.
    Ding, Y.
    Dong, L. Y.
    Dong, M. Y.
    Du, S. X.
    [J]. PHYSICAL REVIEW LETTERS, 2014, 112 (02)
  • [6] Observation of a Charged Charmoniumlike Structure Zc (4020) and Search for the Zc (3900) in e+e- → π+ π-hc
    Ablikim, M.
    Achasov, M. N.
    Albayrak, O.
    Ambrose, D. J.
    An, F. F.
    An, Q.
    Bai, J. Z.
    Ferroli, R. Baldini
    Ban, Y.
    Becker, J.
    Bennett, J. V.
    Bertani, M.
    Bian, J. M.
    Boger, E.
    Bondarenko, O.
    Boyko, I.
    Braun, S.
    Briere, R. A.
    Bytev, V.
    Cai, H.
    Cai, X.
    Cakir, O.
    Calcaterra, A.
    Cao, G. F.
    Cetin, S. A.
    Chang, J. F.
    Chelkov, G.
    Chen, G.
    Chen, H. S.
    Chen, J. C.
    Chen, M. L.
    Chen, S. J.
    Chen, X. R.
    Chen, Y. B.
    Cheng, H. P.
    Chu, X. K.
    Chu, Y. P.
    Cronin-Hennessy, D.
    Dai, H. L.
    Dai, J. P.
    Dedovich, D.
    Deng, Z. Y.
    Denig, A.
    Denysenko, I.
    Destefanis, M.
    Ding, W. M.
    Ding, Y.
    Dong, L. Y.
    Dong, M. Y.
    Du, S. X.
    [J]. PHYSICAL REVIEW LETTERS, 2013, 111 (24)
  • [7] Observation of a Charged Charmoniumlike Structure in e+e- → π+π- J/ψ at √s=4.26 GeV
    Ablikim, M.
    Achasov, M. N.
    Ai, X. C.
    Albayrak, O.
    Ambrose, D. J.
    An, F. F.
    An, Q.
    Bai, J. Z.
    Ferroli, R. Baldini
    Ban, Y.
    Becker, J.
    Bennett, J. V.
    Bertani, M.
    Bian, J. M.
    Boger, E.
    Bondarenko, O.
    Boyko, I.
    Briere, R. A.
    Bytev, V.
    Cai, H.
    Cai, X.
    Cakir, O.
    Calcaterra, A.
    Cao, G. F.
    Cetin, S. A.
    Chang, J. F.
    Chelkov, G.
    Chen, G.
    Chen, H. S.
    Chen, J. C.
    Chen, M. L.
    Chen, S. J.
    Chen, X.
    Chen, Y. B.
    Cheng, H. P.
    Chu, Y. P.
    Cronin-Hennessy, D.
    Dai, H. L.
    Dai, J. P.
    Dedovich, D.
    Deng, Z. Y.
    Denig, A.
    Denysenko, I.
    Destefanis, M.
    Ding, W. M.
    Ding, Y.
    Dong, L. Y.
    Dong, M. Y.
    Du, S. X.
    Fang, J.
    [J]. PHYSICAL REVIEW LETTERS, 2013, 110 (25)
  • [8] DO NARROW HEAVY MULTIQUARK STATES EXIST
    ADER, JP
    RICHARD, JM
    TAXIL, P
    [J]. PHYSICAL REVIEW D, 1982, 25 (09) : 2370 - 2382
  • [9] Akbar N., 2012, EUR PHYS J A, V48, P25
  • [10] Observation of a JPC=1-+ Exotic Resonance in Diffractive Dissociation of 190 GeV/c π- into π-π-π+
    Alekseev, M. G.
    Alexakhin, V. Yu
    Alexandrov, Yu
    Alexeev, G. D.
    Amoroso, A.
    Austregesilo, A.
    Badelek, B.
    Balestra, F.
    Ball, J.
    Barth, J.
    Baum, G.
    Bedfer, Y.
    Bernhard, J.
    Bertini, R.
    Bettinelli, M.
    Birsa, R.
    Bisplinghoff, J.
    Bordalo, P.
    Bradamante, F.
    Bravar, A.
    Bressan, A.
    Brona, G.
    Burtin, E.
    Bussa, M. P.
    Chapiro, A.
    Chiosso, M.
    Chung, S. U.
    Cicuttin, A.
    Colantoni, M.
    Crespo, M. L.
    Dalla Torre, S.
    Dafni, T.
    Das, S.
    Dasgupta, S. S.
    Denisov, O. Yu
    Dhara, L.
    Diaz, V.
    Dinkelbach, A. M.
    Donskov, S. V.
    Doshita, N.
    Duic, V.
    Duennweber, W.
    Efremov, A.
    El Alaoui, A.
    Eversheim, P. D.
    Eyrich, W.
    Faessler, M.
    Ferrero, A.
    Finger, M.
    Finger, M.
    [J]. PHYSICAL REVIEW LETTERS, 2010, 104 (24)
123456789