Impact of Post-Traumatic Stress Disorder Treatment by Reconsolidation Therapy on Fibromyalgia Syndrome

Inclusion Criteria: * Adult over 18 years old * Diagnosis of fibromyalgia syndrome according to ACR 2016 criteria * PCL-5 \> 44 suggesting the presence of a comorbid post-traumatic stress disorder * Meet the DSM-5 criteria for post-traumatic stress disorder secondary to exposure to a traumatic event according to DSM-5 criteria, both unique or repeated and regardless of the date or location of the traumatic event. * Pain relief treatment and/or psychotropic treatment stabilized for a period greater than or equal to two months. * Signature of a consent form * Patient able to understand and read french Exclusion Criteria: * Psychotic disorders * Unstable bipolar disorder * Patients with a systolic blood pressure \< 100 mmHg or heart rate \< 55 as established during the initial visit * Significant anormal ECG * Medical contraindication to taking propranolol * Adverse reactions or previous intolerances to a beta blocker * Current intake of another beta blocker which can not be stopped during the protocol, regardeless the galenic. * Current intake of a drug with potential contraindication with the propranolol, according to the summary of product characteristics of the propranolol. * Patient under legal protection, under guardianship or under curatorship * Patient having suffered a head trauma for less than a year or with clinical symptoms and neurological sequelae * Known severe suicide risk (MINI-S and medical exam) * Current opioid addiction or alcohol dependence * Patients treated for less than 2 months with antidepressants or painkillers * Patients unafiliated to a social health care * Woman who is pregnant or breast-feeding or whithout efficient contraception