论文标题
磁场引起的头发结构在charmonium gluon-Dissociation中
Magnetic field induced hair structure in charmonium gluon-dissociation
论文作者
论文摘要
我们研究电磁场对Quark-Gluon等离子体中charmon Gluon分离的影响。 With the effective Hamiltonian derived from QCD multipole expansion under an external electromagnetic field, we first solve the two-body Schrödinger equation for a pair of charm quarks with mean field potentials for color and electromagnetic interactions and obtain the charmonium binding energies and wave functions, and then calculate the gluon-dissociation cross-section and decay width by taking the color electric and magnetic dipole interactions as扰动高于平均领域并采用费米的黄金法则。考虑到磁场中的炭形变形，离散的Landau能量水平使解离横截面生长头发，并且电偶极子通道发生了显着变化，尤其是对于$ p-$ wave状态$χ_{C0} $和$χ_{C \ pm} $。从我们的数值计算中，磁场强度$ eb = 5〜m_π^2 $已经强烈改变了gluon解离，这可能表明在高能核碰撞中可测量的效果。
We study electromagnetic field effect on charmonium gluon-dissociation in quark-gluon plasma. With the effective Hamiltonian derived from QCD multipole expansion under an external electromagnetic field, we first solve the two-body Schrödinger equation for a pair of charm quarks with mean field potentials for color and electromagnetic interactions and obtain the charmonium binding energies and wave functions, and then calculate the gluon-dissociation cross-section and decay width by taking the color electric and magnetic dipole interactions as perturbations above the mean field and employing Fermi's Golden Rule. Considering the charmonium deformation in magnetic field, the discrete Landau energy levels make the dissociation cross-section grow hair, and the electric dipole channel is significantly changed, especially for the $P-$wave states $χ_{c0}$ and $χ_{c\pm}$. From our numerical calculation, the magnetic field strength $eB=5~m_π^2$ already changes the gluon dissociation strongly, which may indicate measurable effects in high-energy nuclear collisions.
