ABSTRACT:One of the longstanding issues in polymer science is crystallization of polymers under flow, especially formation of the so-called shish-kebab. Recent progress in quantum beam technology shed light on the substantial nature in the shish-kebab formation. In this paper we review our recent experiments on polymer crystallization under flow using time-resolved depolarized light scattering, small-angle and wide-angle X-ray scattering and small-angle neutron scattering in a wide spatial scale from 0.1 nm to several tens mm. These studies revealed that the shish-kebab formation is governed by a competition between the crystallization rate and the chain relaxation rate. Small-angle neutron scattering study on an elongated blend of deuterated low molecular weight and protonated ultra-high molecular weight polyethylenes showed that a long cylindrical object 2 mm in diameter and 12 mm in length was formed from deformed network of ultra-high molecular weight chains, which included three shishs (or extended chain crystals) 9 nm in diameter. 1-3 In order to obtain desired properties of polymers it is necessary to control the final structure of polymers in the processing. Therefore, many researches have been carried out on polymer crystallization under flows for many decades to elucidate the crystallization mechanism and control the final structure. One of the famous issues in the research filed is structure and formation mechanism of the so-called shish-kebab, which consists of long central fiber core (shish) surrounded by lamellar crystalline structure (kebab) periodically attached along the shish, and it is believed that the shish-kebab structure is a structure origin of ultra-high strength and ultra-high modulus fibers. [4][5][6][7][8][9][10] This is one of the reasons why so many studies have been performed on the structure and the formation mechanism of shish-kebab. In spite of the great efforts there are still many unsolved problems in the shish-kebab. For example, even size of shish-kebab structure is not still fully understood. About 30 years ago, Keller and co-workers observed shish-kebab structure in polyethylene (PE) using transmission electron microscope (TEM), [7][8][9][10][11] showing shish of $10 nm in diameter and several mm in length. This has been assigned to extended chain crystal. On the other hand, large and long objects with diameter of several mm aligned along the flow direction are often observed in some polymers 24,28 using optical microscope (OM). This long object is apparently similar to the shish structure but the spatial scale is very different. It must include the kebab inside judging from the spatial scale. These observations suggest that shishkebab has hierarchic structure in a wide spatial scale. However, few papers did not deal with the hierarchic structure of the shish-kebab structure. One of the reasons is difficulty to study the shish-kebab structure in a wide spatial range simultaneously, in addition, kebab structure is overlapped on the shish structure, so that it is not easy to...