Atmospheric muon flux measurements at the external site of the Gran Sasso Lab

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Abstract

Measurements of the atmospheric flux of muons and other charged particles have been performed at the external site of the Gran Sasso Laboratory (LNGS, Italy, 1000ma.s.l.), in view of the OPERA experiment. Scintillation counters and nuclear emulsion plates have been used. Rates and angular distributions at several depths of Fe shielding are presented and compared with Monte Carlo simulations.

Introduction

In the framework of the CNGS project [1], the OPERA experiment aims at the detection of ντs in an almost pure νμ beam [2]. OPERA is based on the nuclear emulsion technique, used to study cosmic rays since their discovery and in many other high-energy physics experiments. In the last few years, the technique was applied to neutrino experiments on unprecedented scale and substantially upgraded [3], [4]. Further developments are in progress.

The OPERA target is highly segmented in basic units called “bricks”, about 12.8cm×10.3cm wide, 8.0cm thick along the beam direction, each consisting of 57 double-coated emulsion films interleaved with 56 lead foils, 1mm thick. The physics program of the experiment requires an alignment between emulsion sheets to within a few μm, more accurate than the alignment provided by the packing procedure. This goal can be accomplished by exposing bricks, selected as containing neutrino interactions induced by the CNGS beam, to an external source of penetrating particles, namely cosmic ray muons. A few particles/mm2 have to be collected.

For this purpose, a dedicated pit will be excavated at the external site of the LNGS, suitably shielded by an iron cover. Bricks will be exposed to cosmic rays at the bottom of the pit, and then extracted and disassembled. The emulsion sheets will be promptly developed and sent to scanning laboratories. The thickness of the iron cover must be such that (a) effective shielding is provided against cosmic ray e.m. showers, useless for calibration and harmful for the particle (electron) identification methods applied to neutrino events, (b) a suitable muon flux can be collected within a reasonable exposure time (1 or 2 days), (c) to some extent the energy spectrum of muons is hardened, (d) they are focussed at narrow dip (zenith) angle. In order to study these items in detail, we performed a test experiment at the external site of the LNGS.

An iron tower structure was built, allowing to host detectors in three distinct slots under different and variable iron thickness. To measure the flux of cosmic ray muons and the corresponding angular distribution, both relevant for intercalibration purposes, we made separate and independent measurements inserting emulsion sheets or scintillation counters inside the iron tower. Fluxes were measured in both cases as a function of the iron thickness. Emulsions also allowed angular measurements for passing-through particles. Scintillators allowed some study of particle correlation in the time gate. A Monte Carlo (MC) simulation was performed, whose reliability was validated and cross-checked with experimental data. Notice that the lower-energy tail of the cosmic radiation, more challenging for simulation codes, but negligible in other experimental conditions, will also play a role in the OPERA brick-calibration case, and thus was carefully taken into account.

In Section 2 the experimental setup is described. Details are provided about the scintillation counter system as well as the emulsions and their handling. The automatic scanning procedure is also described, with details about the sheet intercalibration and the raw data handling after scanning. In Section 3, the MC shower generation and the methods adopted to simulate the particle propagation and the detector response are presented. In Section 4, the experimental results are presented and compared to the expectations from the MC simulation. Conclusions are given in Section 5.

Besides the relevance for the OPERA experiment, these measurements are of some interest by themselves, considering the lack of muon data at various atmospheric depths, especially at the lower end of the energy spectrum.

Section snippets

Experimental setup

The experimental setup is shown in Fig. 1. It consists of three blocks of iron, 25cm thick, with cross-sections 63×63, 42×42 and 25×25cm2, respectively, arranged in an inverse pyramid structure, separated by air gaps of 10cm where scintillation counters or emulsion sheets are located. Additional iron slabs, 2.5 and 5cm thick, could be added to the 25, 50 and 75cm fixed blocks in order to obtain a finer binning. The support skeleton is made of iron bars, welded together and fixed on the ground.

MC simulation

The simulation of the experimental setup was coded in two steps, i.e. the generation of events and the propagation of particles through detectors. For the first step, we used two different event generators: a full shower simulation code, which follows the shower development in the atmosphere down to the detection level, and a parametrized generator, which produces only muons at sea level. The particle kinematics from the event generator was used as input of the second step, a detector response

Experimental results

Data collected with scintillation counters and with emulsion plates are presented below, and separately compared with corresponding MC simulations. As explained in the previous sections, the geometry, acceptance, alignment procedure and so on were different in the two cases and they have to be discussed separately. However, both data sub-sets fairly agree with the “same” MC, and make us confident about the simulation code and the practical conclusions of the present test for OPERA purposes.

Conclusions

For the purposes of the optimal choice of the Fe shielding for OPERA, it is clear that (a) a few cm Fe allow the absorption of soft e.m. shower particles, (b) the dependence of the cosmic ray flux on the Fe shielding is not linear in the whole range, and it is steeper until some very soft component is absorbed, (c) after about 40cm, there is no real gain to increase the thickness, since according to MC no hardening of the muon spectrum is induced, at the expenses of a lower flux requiring a

Acknowledgements

The authors wish to warmly thank the staff of Technicians from the INFN Sections of Bari (P. Di Pinto, V. Di Pinto and A. Andriani), Bologna (L. Degli Esposti, V. Togo, D. Di Ferdinando, C. Valieri) and Rome (R. Diotallevi) for their excellent contribution to the setting-up of the multi-purpose facilities underground and at surface, and the exploitation of the experimental activity reported in this paper. The help and support by the LNGS services and workshops is gratefully acknowledged. We

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