The Chinese phrase describes the process rather than that which the process is testing. Nevertheless, in English you would say:

absence of corneal reflexes.

The process for this test is described at:
http://www.medindia.net/articles/article3.asp
Corneal Reflexes: A moist cotton tipped swab should be used and firm pressure should be applied to the cornea without damaging it.

A list of the other eye response tests to check for brain death is also listed.

Establishing Loss of 'Brainstem Reflexes' at the Bedside: - Absence of brain stem function is essential for establishing the diagnosis of Brain death (Fig -2). In the situation of brain stem death the patient's cranial nerve reflexes (Table-II) are tested to observe their motor response to a sensory input. The absence of brain stem function is documented by conducting the following five tests:

a. Absence of Pupillary Reflex Response to Light
b. Absence of Corneal Reflexes
c. Absence of Vestibulo-Ocular Reflex
d. Absence of Cranial Nerve response to Pain
e. Absence of Gag and Cough Reflexes

However, you will find on the site that these processes do not match that described by the Chinese source term.

拥抱反射[clasping (embrace, Moro`s) reflex] •深（浅）反射[deep (superficial) reflex] •压眶反射[reaction to pressure on the supraocular notch] •桡骨膜 反射[radioperiosteal reflex] •膝（跟腱）反射[knee (achilles) jerk