Light quark mass dependence of the X(3872) in an effective field theory

被引：31
|
作者：
Jansen, M. [1 ,2 ]
Hammer, H-W [1 ,3 ,4 ]
Jia, Yu [2 ,5 ]
机构：
[1] Univ Bonn, Helmholtz Inst Strahlen & Kernphys, D-53115 Bonn, Germany
[2] Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China
[3] Tech Univ Darmstadt, Inst Kernphys, D-64289 Darmstadt, Germany
[4] GSI Helmholtzzentrum Schwerionenforsch GmbH, ExtreMe Matter Inst EMMI, D-64291 Darmstadt, Germany
[5] Chinese Acad Sci, Inst High Energy Phys, Theoret Phys Ctr Sci Facil, Beijing 100049, Peoples R China
来源：
PHYSICAL REVIEW D | 2014年 / 89卷 / 01期
关键词：
SCATTERING; PIONS;
D O I：
10.1103/PhysRevD.89.014033
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The quark mass dependence of hadrons is an important input for lattice calculations. We investigate the light quark mass dependence of the binding energy of the X(3872) and the (D) over bar D-0*(0) scattering length in the C = +1 channel to next-to-leading order in an effective field theory for the X (XEFT) where pion interactions are perturbative. At this order, the quark mass dependence is determined by a quark mass-dependent contact interaction in addition to the one-pion exchange. Using naturalness arguments to constrain unknown parameters, we find a moderate sensitivity of the binding energy for quark masses up to twice the physical value while the scattering length is more sensitive. The occurrence of infrared divergences due to on-shell pions in XEFT and their treatment is discussed in detail.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] Light quark mass dependence of the X(3872) in XEFT
    Jansen, M.
    Hammer, H. -W.
    Jia, Yu
    Chiral Symmetry in Hadrons and Nuclei, 2015, : 57 - 60
  • [2] Quark mass dependence of the X(3872) binding energy
    Baru, V.
    Epelbaum, E.
    Filin, A. A.
    Hanhart, C.
    Meissner, U. -G.
    Nefediev, A. V.
    PHYSICS LETTERS B, 2013, 726 (1-3) : 537 - 543
  • [3] X(3872) in effective field theory
    Petrov, Alexey A.
    Particles and Nuclei, 2006, 842 : 601 - 603
  • [4] X(3872) in Effective Field Theory
    Fleming, S.
    Mehen, T.
    INTERSECTIONS OF PARTICLE AND NUCLEAR PHYSICS, 2009, 1182 : 491 - +
  • [5] X (3872):: Hadronic molecules in effective field theory
    AlFiky, Mohammad T.
    Gabbiani, Fabrizio
    Petrov, Alexey A.
    PHYSICS LETTERS B, 2006, 640 (5-6) : 238 - 245
  • [6] Light-quark mass behaviour of the X(3872) as a molecular state
    Baru, V.
    Epelbaum, E.
    Filin, A. A.
    Gegelia, J.
    Nefediev, A. V.
    21ST INTERNATIONAL CONFERENCE ON FEW-BODY PROBLEMS IN PHYSICS, 2016, 113
  • [7] Mass of X(3872) in the relativistic quark model
    Chen, Xiaozhao
    Wang, Bin
    Li, Xiaoya
    Zeng, Xiaoqiang
    Yu, Shaolan
    Lue, Xiaofu
    PHYSICAL REVIEW D, 2009, 79 (11):
  • [8] Hadronic decays of the X(3872) to χcJ in effective field theory
    Fleming, Sean
    Mehen, Thomas
    PHYSICAL REVIEW D, 2008, 78 (09):
  • [9] Galilean-invariant effective field theory for the X(3872)
    Braaten, Eric
    PHYSICAL REVIEW D, 2015, 91 (11):
  • [10] Radiative decays X(3872) → ψ(2S)γ and ψ(4040) → X(3872)γ in effective field theory
    Mehen, Thomas
    Springer, Roxanne
    PHYSICAL REVIEW D, 2011, 83 (09):
12345