In this paper we discuss the interacting hadron resonance gas (HRG) model in presence of a constant external magnetic field. The short range repulsive interaction between hadrons are accounted through Van der Waals excluded volume correction to the ideal gas pressure. Here we take the sizes of hadrons as r _π (pion radius) = 0 fm, r _K (kaon radius) = 0.35 fm, r _m (all other meson radii) = 0.3 fm and r _b (baryon radii) = 0.5 fm. We analyse the effect of uniform background magnetic field on the thermodynamic properties of interacting hadron gas. We especially discuss the effect of interactions on the behaviour of magnetization of low temperature hadronic matter. The vacuum terms have been regularized using magnetic field independent regularization scheme. We find that the magnetization of hadronic matter is positive which implies that the low temperature hadronic matter is paramagnetic. We further find that the repulsive interactions have very negligible effect on the overall magnetization of the hadronic matter and the paramagnetic property of the hadronic phase remains unchanged. We have also investigated the effects of short range repulsive interactions as well as the magnetic field on the baryon and electric charge number susceptibilities of hadronic matter within the ambit of excluded volume HRG model.

在本文中，我们讨论了在恒定外部磁场存在下的相互作用的强子共振气体（HRG）模型。强子之间的短程排斥相互作用是通过排除体积校正到理想气压的范德华斯来解释的。在这里，我们取作为强子的尺寸- [R _π（π介子半径）= 0 FM，- [R _ķ（K介子半径）= 0.35 FM，- [R_米（所有其它介子半径）= 0.3 FM和- [R _b （重子半径）= 0.5 fm。我们分析了均匀背景磁场对相互作用的强子气体热力学性质的影响。我们特别讨论了相互作用对低温强子物质磁化行为的影响。真空项已使用磁场无关的正则化方案进行了正则化。我们发现强子物质的磁化是正的，这意味着低温强子物质是顺磁性的。我们进一步发现，排斥作用对强子物质的整体磁化影响很小，而强子相的顺磁特性保持不变。