If you want to implement this payment system on Arbitrum, an Ethereum Layer 2 solution known for lower fees and faster transactions, the process would be quite similar to the one outlined for Ethereum, with a few adjustments:

1. Set Up Web3 for Arbitrum

const Web3 = require('web3');
const web3 = new Web3('<https://arb1.arbitrum.io/rpc>'); // Arbitrum One mainnet RPC URL

2. Deploy a Smart Contract on Arbitrum

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;

contract SimScoreStorage {
    uint256 public price = 5 * 10**16; // 0.05 ETH

    function storeStudy(string memory studyData) public payable {
        require(msg.value >= price, "Insufficient payment");

        // Store the study (this is a simplified example)
        // In a real application, you'd want to store this data in IPFS or another off-chain storage
    }
}

3. Web3 Integration for Arbitrum

const contractABI = [...]; // ABI of the deployed contract on Arbitrum
const contractAddress = 'YOUR_ARBITRUM_CONTRACT_ADDRESS';

const contract = new web3.eth.Contract(contractABI, contractAddress);

async function storeStudyOnArbitrum(studyData, fromAddress) {
    const tx = {
        from: fromAddress,
        to: contractAddress,
        value: web3.utils.toWei('0.05', 'ether'), // 5 cents in ETH on Arbitrum
        data: contract.methods.storeStudy(studyData).encodeABI(),
    };

    const signedTx = await web3.eth.accounts.signTransaction(tx, 'YOUR_PRIVATE_KEY');
    const receipt = await web3.eth.sendSignedTransaction(signedTx.rawTransaction);
    console.log('Transaction receipt:', receipt);
}

4. Consider Using Arbitrum's Native Tools

5. Handling Gas Fees on Arbitrum

6. Payment Gateway Considerations

7. Frontend Integration